The formula for the nth term b of a geometric series is b=arn-1. Find n when b=1,024, a=16 and r=2.

Answers

Answer 1

[tex]\bf b=ar^{n-1}~~ \begin{cases} b=1024\\ a=16\\ r=2 \end{cases}\implies 1024=16(2^{n-1})~~ \begin{cases} 1024=&2^{10}\\ 16=&2^4 \end{cases} \\\\\\ 2^{10}=2^4(2^{n-1})\implies \cfrac{2^{10}}{2^4}=2^{n-1}\implies 2^{10}\cdot 2^{-4}=2^{n-1}\implies 2^{10-4}=2^{n-1} \\\\\\ 2^6=2^{n-1}\implies \stackrel{\textit{same base, the exponents must be the same}}{6=n-1\implies 7=n}[/tex]

Answer 2

The value of n when b = 1,024, a = 16, and r = 2 is 7.

The student is asking to solve for n in the formula of the nth term of a geometric series given the formula b = ar^(n-1) and the values of b, a, and r. To find the value of n, we can substitute the known values into the formula and solve for n.

b = 1,024

a = 16

r = 2

Using these values:

Substitute the known values into the formula: 1,024 = 16 imes 2^(n-1)

Divide both sides by 16: 64 = 2^(n-1)

Recognize that 64 is 2 to the power of 6: 2^6 = 2^(n-1)

Therefore, n - 1 = 6

Add 1 to both sides to find n: n = 7

The value of n when b = 1,024, a = 16, and r = 2 is 7.


Related Questions

What is the ratio of the corresponding sides of ABCD to LMNO?
3/2
1/2
2/3
2/1

Answers

Answer:

2 : 3

Step-by-step explanation:

Calculate the ratio of corresponding sides

AB : LM = 4 : 6 = 2 : 3

AD : LO = 2 : 3

DC : ON = 4 : 6 = 2 : 3

CB : NM = 2 : 3

The ratio of corresponding sides is 2 : 3

Please answer this multiple choice question CORRECTLY for 30 points and brainliest!!

Answers

Solve the inequality for x:

5x - 3 ≤ 7x +7

Subtract 7x from each side:

-2x -3 ≤ 7

Add 3 to each side:

-2x ≤ 10

Divide both sides by -2, also when dividing  both sides of an inequality you flip the direction of the inequality sign:

x ≥ -5

The dot will be on -5, because the inequality includes equal to, the dot is solid and is greater than, the arrow will point to the right.

The correct answer is D.

Which linear inequality is represented by the graph?

Answers

Answer:

The required inequality is [tex]y<\frac{2}{3}(x)-1[/tex].

Step-by-step explanation:

From the given graph it is clear that the related line passes through the points (-3,-3) and (3,1).

If a line passes through two points, then the equation of line is

[tex]y-y_1=\frac{y-y_1}{x-x_1}(x-x_1)[/tex]

The equation of related line is

[tex]y-(-3)=\frac{1-(-3)}{3-(-3)}(x-(-3))[/tex]

[tex]y+3=\frac{4}{6}(x+3)[/tex]

[tex]y+3=\frac{2}{3}(x+3)[/tex]

[tex]y+3=\frac{2}{3}(x)+2[/tex]

Subtract 3 from both the sides.

[tex]y=\frac{2}{3}(x)+2-3[/tex]

[tex]y=\frac{2}{3}(x)-1[/tex]

The equation of related line is [tex]y=\frac{2}{3}(x)-1[/tex]. The related line is a dotted and the shaded region is below the line. So, the sign of inequality is <.

The required inequality is

[tex]y<\frac{2}{3}(x)-1[/tex]

Therefore the required inequality is [tex]y<\frac{2}{3}(x)-1[/tex].

Graph the polar equation. r = 2 + 2sin θ

Answers

Answer:

The graph  attached below is for r=2+ 2sin θ where θ=pi

Step-by-step explanation

The coordinates in a polar equation are written as (r,θ)

r= radius and θ is the angle

⇒⇒⇒ so this mean we rotate θ radians and of the size r units

In our case assume θ=[tex]\pi[/tex] where 0≤θ≤2[tex]\pi[/tex]

Geometry B Unit 6: Surface Area and Volume, Lesson 10: Surface Area and Volume Unit Test?
The first question on this test is "use Euler's formula to find the missing number.
vertices: 13
Edges: 26
Faces: ?
with the answer options
A. 14
B. 15
C. 16
D. 17
(I only showed to first question so someone would give me the correct answers.)

Answers

Answer:

B

Step-by-step explanation:

Euler's formula for polyhedra states that

F + V - E = 2

where F is faces, V is vertices and E is edges

Substitute the values given and solve for F, that is

F + 13 - 26 = 2

F - 13 = 2 ( add 13 to both sides )

F = 15 → B

The correct option is (B) 15

Euler's formula states the relationship between the number of Faces, Edges and Vertices of any polyhedron. It is given as

[tex]F+V=E+2[/tex]

where

[tex]F=\text{number of faces}\\V=\text{number of vertices}\\E=\text{number of edges}[/tex]

From the question

[tex]V=13,E=26[/tex]

so

[tex]F+V=E+2\\F+13=26+2\\F=26+2-13=15[/tex]

Learn more about Euler's formula here: https://brainly.com/question/12716048

After two half-lives, what fraction of a radioactive sample has decayed?1/2 2/3 3/4 5/6

Answers

A half life means that half the sample decays.

If the sample size is 1 , then after one half life there would be x  * 1/2 =  1/2 of the sample left.

For the 2nd half life, multiply 1/2 by 1/2 to get 1/4.

So after 2 half lives, there is 1/4 of the sample left, which means 3/4 of the sample decayed.

The answer is 3/4

4^3 * 4^4 =
A) 4^-1
B) 4^1
C) 4^7
D) 4^12

Answers

Hello!

The answer is:

The correct option is:

C) [tex]4^{3}*4^{4}=4^{7}[/tex]

Why?

To solve the problem, we need to remember the product of powers with the same base property, the property is defined by the following relation:

[tex]a^{m}*a^{n}=a^{m+n}[/tex]

If we are multiplying two or more powers with the same base, we must keep the base and add/subtract the exponents.

So, we are given the expression:

[tex]4^{3}*4^{4}[/tex]

We can see that both powers have the same base (4), so solving we have:

[tex]4^{3}*4^{4}=4^{4+3}=4^{7}[/tex]

Hence, we have that the correct option is:

C) [tex]4^{3}*4^{4}=4^{7}[/tex]

Have a nice day!

Answer:

The correct answer is option C

4^7

Step-by-step explanation:

Points to remember

Identities

xᵃ/xᵇ = x⁽ᵃ ⁻ ᵇ⁾

xᵃ * xᵇ = x⁽ᵃ ⁺ ᵇ⁾

x⁻ᵃ = 1/xᵃ

To find the correct option

It is given that,

4^3 * 4^4

⇒ 4³ * 4⁴

By using identities we can write,

4³ * 4⁴  = 4⁽³ ⁺ ⁴)

 = 4⁷

Therefore the correct option is option C.  4^7

A conveyor belt leads from the ground to a bar door24 feet high. The angle between the belt and the ground is 32 degree. What is the length of the conveyor nearest foot?

Answers

Answer:

45 feet

Step-by-step explanation:

This is a classic right triangle trig problem.  We have a reference angle, which is the angle made between the ground and the belt, of 32 degrees.  The height up the side of the barn, which is the side across from the reference angle, is 24 feet.  Which of our trig ratios relates side opposite to the hypotenuse?  It's the sin ratio, so let's set it up and solve for the length of the belt, which is the hypotenuse of the right triangle.

[tex]sin(32)=\frac{24}{x}[/tex]

Doing some algebraic acrobatics that with we get

[tex]x=\frac{24}{sin(32)}[/tex]

Plug that into your calculator in degree mode and you'll get 45.28991.  Rounded to the nearest foot is 45 feet.

The length of the conveyor is approximately 45 feet.

The subject of the question is Mathematics, and it deals with determining the length of a conveyor belt that makes an angle with the horizontal. This type of problem involves trigonometry, specifically the use of sine, cosine, or tangent functions to find the length of the hypotenuse of a right-angled triangle.

To find the length of the conveyor belt, we consider the belt as the hypotenuse of a right-angled triangle, with the vertical height of the barn door as the opposite side, and the angle given as the angle between the belt (hypotenuse) and the ground (adjacent side).

The height of the barn door is 24 feet, and the angle between the belt and the ground is 32 degrees. We can use the sine function (sin) since we have the opposite side and need to find the hypotenuse (length of the conveyor belt).

The formula to find the length (L) of the conveyor belt is:

L = height / sin(angle)

L = 24 feet / sin(32 degrees)

L = 24/0.5299

L = 45.29 feet

Please answer this multiple choice question for 30 points and brainliest!!

Answers

Answer:

  B.  s = 0.85r

Step-by-step explanation:

The sale price is 15% off the regular price. In equation form, that is ...

  s = r - 15%×r

  s = r(1 - 0.15) = 0.85r

The equation that can be used to calculate the sale price is s = 0.85r.

Which of the following statements follows from
(x - 3)^2 = 5?


A. x^2 + 9 = 5
B. x - 3 = +- Square root of 5
C. x - 3 = +-25

Answers

Answer:

Option B.

Step-by-step explanation:

we have

[tex](x-3)^{2}=5[/tex]

take square root both sides

[tex](x-3)=(+/-)\sqrt{5}[/tex]

[tex]x=3(+/-)\sqrt{5}[/tex]

The area of a triangle is 33.6 square inches. If the height of the triangle is 4 inches, what is the length of the base? b = a0 in.

Answers

[tex]a = \frac{b \times h}{2} [/tex]

33.6 × 2 = b×h

67.2 = b×h

h=4

67.2÷4 =b

16.8=b

answer: b=16.8inches

Please help me with this!!!

Answers

Answer:

314 m³

Step-by-step explanation:

The volume (V) of a cone is calculated using the formula

V = [tex]\frac{1}{3}[/tex]πr²h

where r is the radius and h the perpendicular height

To find h use the right triangle from the vertex to the midpoint of the base and the radius.

Using Pythagoras' identity on the right triangle

where the slant height is the hypotenuse, then

h² + 5² = 13²

h² + 25 = 169 ( subtract 25 from both sides )

h² = 144 ( take the square root of both sides )

h = [tex]\sqrt{144}[/tex] = 12, hence

V = [tex]\frac{1}{3}[/tex]π × 5² × 12

   = π × 25 × 4 = 100π ≈ 314 m³

Nancy Stone has a small company and has negotiated a special rate for rental cars when she and other employees take business trips. The maximum charge is $45.00 per day plus $0.40 per mile. Discounts apply when renting for longer periods of time or during off-peak seasons. Write a linear inequality that models the total cost of the daily rental c(m) as a function of the total miles driven, m.

Answers

Answer:

c(m)<=45+0.4m

Step-by-step explanation:

A linear inequality involves a linear function. It contains one of the symbols of inequality. It exactly looks like a linear equation,with the inequality sign replacing the equality sign.

According to the statement Nancy has negotiated a special rate and the maximum charge is $45.00 per day with the addition of $ 0.40 per mile.

So,

a linear inequality that models the total cost of the daily rental as a function of the total miles driven,m is:

c(m)<=45+0.4m

Find the exact values of the indicated trigonometric functions. Write fractions in lowest terms.
Find sin B and tan B.

Answers

For this case we have that by definition of trigonometric relations of a rectangular triangle, that the sine of an angle is given by the opposite leg to the angle on the hypotenuse of the triangle. While the tangent of the same angle is given by the leg opposite the angle on the leg adjacent to the angle.

Then, according to the figure we have:

[tex]sin (B) = \frac {7} {25} = 0.28\\tg (B) = \frac {7} {24} = 0.2917[/tex]

Answer:

[tex]sin (B) = \frac {7} {25}\\tg (B) = \frac {7} {24}[/tex]

Answer:

[tex]\text{sin}(B)=\frac{7}{25}[/tex]

[tex]\text{tan}(B)=\frac{7}{24}[/tex]

Step-by-step explanation:

We have been given a right triangle. We are asked to find the [tex]\text{sin}(B)[/tex] and [tex]\text{tan}(B)[/tex] for our given triangle.

We know that sine relates opposite side of right triangle to its hypotenuse.

[tex]\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}[/tex]

We can see that AC is opposite side to angle B and  AB is hypotenuse of the given triangle.

[tex]\text{sin}(B)=\frac{AC}{AB}[/tex]

[tex]\text{sin}(B)=\frac{7}{25}[/tex]

We know that tangent relates opposite side of right triangle to its adjacent.

[tex]\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}[/tex]

We can see that AC is opposite side to angle B and  BC is adjacent side of the angle B.

[tex]\text{tan}(B)=\frac{AC}{BC}[/tex]

[tex]\text{tan}(B)=\frac{7}{24}[/tex]

Ten thousand marbles were produced on a production line the first 100 marbles off the line were taken and tested for roundness does this sampling result in a simple random sample

Answers

Answer:

No, because each group of n items does not have an equal chance of being selected.

Step-by-step explanation:

Solve for the angle given the trig function and its value. (No Calculator)

32. tan Ѳ = -√3/3

33. cos^2 Ѳ = 1/2

34. sec Ѳ = undefined​

Answers

Answer:

  32. -30°

  33. 45° or 135°

  34. 90°

Step-by-step explanation:

The table below shows a short list of trig function values.

32. -tan(x) = tan(-x)

33. -cos(x) = cos(180°-x)

34. sec(x) = 1/cos(x). 1/0 is "undefined".

The values shown above are the ones that are in the range of the inverse trig functions: arctan (-90°, 90°), arccos [0°, 180°], arcsec [0°, 90°)∪(90°, 180°].

[tex]32.\quad tan\theta=-\dfrac{\sqrt3}{3}\\\\.\qquad \dfrac{sin\theta}{cos\theta}=-\dfrac{\sqrt3}{3}\\\\\text{Since there is no "3" on the Unit Circle, un-rationalize the denominator:}\\.\qquad \dfrac{sin\theta}{cos\theta}=-\dfrac{\sqrt3}{3}\bigg(\dfrac{\sqrt3}{\sqrt3}\bigg)\implies \dfrac{sin\theta}{cos\theta}=-\dfrac{3}{3\sqrt3}=-\dfrac{1}{\sqrt3}\\\\\implies sin\theta =\pm\dfrac{1}{2}\quad and \quad cos\theta = \pm\dfrac{\sqrt3}{2}\quad and \text{ coordinate is in Quadrant 2 or 4}[/tex]

[tex]\text{Look on the Unit Circle (below) for coordinates }\bigg(\dfrac{-\sqrt3}{2},\dfrac{1}{2}\bigg)\ and\ \bigg(\dfrac{\sqrt3}{2},\dfrac{-1}{2}\bigg)\\\\\bold{Answer:}\large\boxed{150^o\ and\ 330^o\implies \dfrac{5\pi}{6}\ and\ \dfrac{11\pi}{6}}[/tex]

[tex]33.\quad cos^2\theta=\dfrac{1}{2}\\\\\\.\qquad \sqrt{cos^2\theta}=\sqrt{\dfrac{1}{2}}\\\\\\.\qquad cos\theta=\pm\dfrac{1}{\sqrt2}\\\\\\\text{Rationalize the denominator:}\\.\qquad cos\theta=\pm\dfrac{1}{\sqrt2}\bigg(\dfrac{\sqrt2}{\sqrt2}\bigg)\implies cos\theta=\pm\dfrac{\sqrt2}{2}\\\\\\\text{Look on the Unit Circle to find when }cos\theta=\dfrac{\sqrt2}{2}\ and\ \dfrac{-\sqrt2}{2}[/tex]

[tex]\bold{Answer:}\large\boxed{45^o, 135^o, 225^o, 315^o\implies \dfrac{\pi}{4}, \dfrac{3\pi}{4}, \dfrac{5\pi}{4}, \dfrac{7\pi}{4}}[/tex]

[tex]34.\quad sec\theta=\text{unde fined}\implies sec\theta=\dfrac{1}{0}\\\\\\.\qquad \dfrac{1}{cos\theta}=\dfrac{1}{0}\implies cos\theta=0\\\\\\\text{Look on the Unit Circle to find when }cos\theta=0\\\\\bold{Answer:}\large\boxed{90^o\ and\ 270^o\implies\dfrac{\pi}{2}\ and\ \dfrac{3\pi}{2}}[/tex]

A farmer has 300 ft of fencing with which to enclose a rectangular pen next to a barn. The barn itself will be used as one of the sides of enclosed area. What is the maximum area that can be enclosed by fencing?

Answers

11125 ft2. I hope i got it right

If the temperature changes from 64 degrees to 72 degrees, what is the percent increase in temperature

Answers

Answer:

8% difference I think.

Step-by-step explanation:

72 - 64 = 8.

The temperature increase from 64 degrees to 72 degrees represents a 12.5% increase. You calculate this by dividing the difference in temperature by the original temperature and then multiplying by 100.

To calculate the percent increase in temperature from 64 degrees to 72 degrees, you subtract the original temperature from the new temperature and divide by the original temperature. Then, multiply the result by 100 to get the percentage.

Here is the calculation:

Percent Increase = ((New Temperature - Original Temperature) / Original Temperature) × 100

Percent Increase = ((72 - 64) / 64) × 100

Percent Increase = (8 / 64) × 100

Percent Increase = 0.125 × 100

Percent Increase = 12.5%

Therefore, the temperature has increased by 12.5%.

1. In a closet, Jeremy has 5 blue uniform shirts and 5 red uniform shirts for school. Jeremy says that selecting a blue uniform shirt is equally as likely as selecting a red uniform shirt, so the probability of selecting a blue shirt is 50/50. What is wrong with Jeremy's statement? Justify your answer.

Answers

Answer:

Step-by-step explanation:

Let's calculate the probability of selecting a blue shirt from a total of 10 shirts:

It's 5/10, or 0.5, which stems from there being 5 blue shirts among the 10 Jeremy owns.  50/50 is not a standard way of expressing probability; 0.5 is proper.

Which property of real numbers is shown below? 3 + ((-5) + 6) = (3 + (-5)) + 6

Answers

Answer:

  the associative property

Step-by-step explanation:

The associative property of addition lets you move the parentheses without changing the order of the operands.

Please help! ASAP ty!

Answers

Answer:0.1

Step-by-step explanation:

Enter the explicit rule for the geometric sequence.

15, 3, 3/5, 3/25, …

Answers

Answer:

an = 15 (1/5)^(n-1)

Step-by-step explanation:

In a geometric series, each term is multiplied by a common ratio to get the next term.  Such that:

an = a₁ (r)^(n-1)

Here, the first term, a₁, is 15.  The common ratio, r, is 1/5, because each term is divided by 5 to get the next term.  So:

an = 15 (1/5)^(n-1)

Your answer is correct, well done!

I think this is an example of it

A cylinder has an elliptical base with major semiaxis length of 6 cm and minor semiaxis length of 4 cm. its altitude is 7.5 cm. find the volume of the cylinder. (hint: volume of the cylinder = area. of base × altitude.) volume (to the nearest tenth) = a0 cm 3.

Answers

Answer:

180π cm³

Step-by-step explanation:

The formula for the area of an ellipse with major axis a and minor axis b is

A = π·a·b.

Here, that area is A = π(6 cm)(4 cm) = 24π cm².

Multiplying this base area by the altitude, 7.5 cm, results in the volume:

V = (24 cm²)·π·(7.5 cm) = 180π cm³

Answer:

565,5 cm³

Step-by-step explanation:

To calculate the volume of a cylinder we have to found the area of the base and multiply by the altitude of the cylinder. As the base is elliptical, the area is given by:

[tex]A = a*b*\pi[/tex], where a is the major axis and b the minor axis. Thus:

[tex]A=6*4*\pi =75.39 cm^2[/tex]

And,

[tex]V = A*h = 75.39*7.5 = 565.48 cm^3[/tex].

Rounding to the nearest tenth: 565.5 cm³

PLEASE HELP ASAP 40 PTS + BRAINLIEST TO RIGHT/BEST ANSWER

Zoom in a bit, the answers are a tad glitched ):

Answers

Answer:

see explanation

Step-by-step explanation:

Using the coefficients of the polynomial and evaluating for h = - 3

- 3 | 1   - 4   - 9   36

      ↓   - 3   21   - 36

      -------------------------

       1   - 7   12   0 ← remainder

Since remainder is 0 then (x + 3) is a factor, so

y = (x + 3)(x² - 7x + 12)

To factor the quadratic

Consider the factors of the constant term (+ 12) which sum to give the coefficient of the x- term (- 7)

The factors are - 4 and - 3, since

- 4 × - 3 = + 12 and - 4 - 3 = - 7, then

x² - 7x + 12 = (x - 4)(x - 3), and

y = (x + 3)(x - 4)(x - 3)

A recent poll taken by the national ice cream industry shows that 32% of the population names vanilla as its favorite ice cream flavor. A sample of 200 people shows that only 20% of those polled names vanilla as their favorite ice cream flavor.

To determine whether this sample supports the population proportion of 0.32, a simulation of 100 trials is run, each with a sample size of 50 and a point estimate of 0.20. The minimum sample proportion from the simulation is 0.16, and the maximum sample proportion from the simulation is 0.28.

What is the margin of error of the population proportion using half the range?

Answers

Hence  margin of error for population proportion is option c which is 0.6

What is margin of error ?

MoE refers to estimated point value that tells us how much difference is there from actual value.

How to calculate?

critical value * SD of population

Given max sample proportion =0.28 and min sample proportion=0.16

Hence we can directly calculate MOE by subtracting both = 0.28=0.16=0.6

which is option no. c

Hence option c is 0.6 which is correct.

learn more about margin of error https://brainly.com/question/24289590

#SPJ2

Answer:

0.6 is the answer

Please help me please

Answers

Answer:

y = 3.4

Step-by-step explanation:

Given 2 secants and a tangent drawn to the circle from an external point then

The square of the measure of the tangent is equal to the product of the external part of the secant to the entire secant.

Using the secant with measure y + 11, then

y(y + 11) = 7²

y² + 11y = 49 ( subtract 49 from both sides )

y² + 11y - 49 = 0 ← in standard form

with a = 1, b = 11 and c = - 49

Using the quadratic formula to solve for y

y = ( - 11 ± [tex]\sqrt{11^2-4(1)(-49)}[/tex] ) / 2

  = ( - 11 ± [tex]\sqrt{121+196}[/tex] ) / 2

  = ( - 11 ± [tex]\sqrt{317}[/tex] ) / 2

y = [tex]\frac{-11-\sqrt{317} }{2}[/tex] or y = [tex]\frac{-11+\sqrt{317} }{2}[/tex]

y = - 14.4 or y = 3.4

However y > 0 ⇒ y = 3.4 ( nearest tenth )

Suppose that a typical household in the United States has an average after-tax income of $41,100. The circle graph below represents how this annual income is
(Vote it is because of rounding that the percents do not add up to 100.) How much more is spent on insurance/pensions than on health care?
Entertainment
Health Care en
5%
5%
Clothing
Housing
33%
Insurance/
Pensions
9%
Other
11%
Food
14%
Transportation
17%​

Answers

Answer:

9% + 5%

Step-by-step explanation:

Answer:

$1644.

Step-by-step explanation:

We have been a typical household in the United States has an average after-tax income of $41,100. We are asked to find how much more is spent on insurance/pensions than on health care.

We have been given that 5% is spent on health care and 9% is spent on insurance/pensions. This means that 4% (9%-5%) is more on insurance/pensions than on health care.

Now, we need to find 4% of $41,100.

[tex]\text{Amount more spent on insurance/pensions than on health care}=\frac{4}{100}\times \$41,100[/tex]

[tex]\text{Amount more spent on insurance/pensions than on health care}=4\times \$411[/tex]

[tex]\text{Amount more spent on insurance/pensions than on health care}=\$1644[/tex]

Therefore, $1644 is more spent on insurance/pensions than on health care.

Asher solved the equation below: 4x = 64 4x − 4 = 64 − 4 x = 60 Is Asher's solution correct? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation.

Answers

No. Asher figured that just subtracting 4 from 4x, which is 64, would get him the value of x. However, since 64=4x, one needs to divide 64 by the number of x's to get x's value. 64/4= 16, which is the value of x.

The method of solving the equation by asher is; Incorrect because she is supposed to divide directly and not subtract.

What is the method of solving an equation?

We are told that she wants to solve the equation;

4x = 64

Now, she decided to subtract 4 from both sides to get the value of x. That will not be correct because she is meant to divide both sides by the coefficient of x to get the value of x.

4x = 64

x = 64/4

x = 16

Read more about Equations at; https://brainly.com/question/1214333

Consider the function f(x) = x2 + 2x – 15. What are the x-intercepts of the function? Left-most x-intercept: ( , 0) Right-most x-intercept: ( , 0)

Answers

Answer:

(- 5, 0) and (3, 0)

Step-by-step explanation:

Given

f(x) = x² + 2x - 15

To find the x- intercepts let f(x) = 0, that is

x² + 2x - 15 = 0 ← in standard form

(x + 5)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5 ← left x- intercept

x - 3 = 0 ⇒ x = 3 ← right x- intercept

Answer:

Left-most x-intercept: (-5, 0)

Right-most x-intercept: (3, 0)

Clarissa and her friends are playing a game by throwing sticky darts onto the board shown below.

What is the likelihood of a sticky dart landing in the green section of the board, assuming that the sticky dart lands on the board?

t is certain.
It is impossible.
It is likely.
It is unlikely.

Answers

Answer:

It is unlikely

Step-by-step explanation:

The probability of a sticky dart landing in the green section of the board, assuming that it lands on the board is possible but very unlikely.

The green section of the board has the least area compare to an other section of the board. Therefore, the dark is unlikely to land in this section.

Answer:

it is unlikey

Step-by-step explanation:

the possibility of the sticky dart landing on the green part is unlikley

Other Questions
Write a nuclear equation for the fusion of two h2 atoms to form he3 and one neutron. WILL GIVE BRAINLIEST AND 10 POINTS!!! Which of the following was a ''pull factor'' in the Great Migration?A. Better jobs in the northB Segregation in the southC. Poverty in the southD. Weather in the south I found an odd thing idk what Im doing wrong, I think i calculated it right but? Because 3.14 * 30^2 * 110 = 310860 just as 3.14 * 900 * 110 since its pi and 900 is just 30x30, but when I input the actual TT pi symbol or do pi * 900 * 110 a result of 311017am I an idiot? Who led Jackson's presidential campaign in 1828?A.) Henry ClayB.) Martin Van BurenC.) William Henry HarrisonD.) Nicholas Biddle What is the capital city of North Carolina? infer weather balanced forces must be acting on a car moving at a constant speedi Know this question is really last min but i need it by 5 min Part BWhich details support the central idea of Roosevelts speech?Select each correct answer.Supporting farms and their products will help cities stay a reasonable size.Waging war with another country will bring prosperity to the nation.Preventing banks from using peoples money foolishly will increase personal loss of finances.Creating jobs will help solve unemployment and stimulate the use of our natural resources. The center of Circle D is (0,0). The circumference of the circle passes through Point E (-7,-4).Find the length of the radius of Circle D. THIS IS SO SOS SOS SO SO SO URGENT WHOEVER ANSWERS VERY SOON IS MY LIVESAVER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Read about Carlos, and then answer the question.Carlos is writing an argumentative essay encouraging families to adopt pets.Which best supports his claim that every family needs a pet?Studies show that Yorkshire terriers shed less than other pets.Studies show children who grow up with pets learn responsibility.My favorite pets are reptiles, and I have a lizard named Spike.My opinion is that all families need pets to be happy. 12345678910The length of a rectangle is 6 inches, and the width is 5 inches. When each dimension is increased by x inches, the area triples. Which equation models this situation?A)(6x)(5x) = 60B)(6x)(5x) = 90C)(x + 6)(x + 5) = 60D)(x + 6)(x + 5) = 90 Complete the sentence to describe the similarities and differences between amylose and cellulose. Match the words to the appropriate blanks in the sentences on the right. Be certain each sentence is complete before submitting your answer. D-glucose | D-fructose | L-glucose | B-1,6-glycosidic | a-1,4-glycosidic | a-1.6-glycosidic | B-1,4-glycosidic | a branched | an unbrached | L-fructoseAmylose is _____ chain of _________ units connected by _________ bonds. Cellulose is _________ chain of _________ units connected by _________ bonds. is anyone willing to answer this question? what is the relationship between turning points of a graph and its derivative function Mike wants to redesign a box. Currently, its length is 20 cm, its width is 30 cm and its height is 40cm. he wants to keep the volume and the length unchanged and increase the height by 25 percent. What will be the new width of the box? Can someone help me with this Ill give brain Help help help math image: I need both really bad please and thank you Is the world more or less vulnerable today than in 2001? Give 1 specific reason. Valentina has a 30% chance of randomly drawing a blue marble from a bag. If she does the random drawing 50 times, how many times can she expect to get a blue marbleA-30B-5C-35D-15 Please help me out please Steam Workshop Downloader