Find the distance between the points (1,0) and (0,2).

Answer:

16

Step-by-step explanation:

Given

f(x)=5x^2+9x-2

Remainder theorem states that when f(x) is divided by x-a then the remainder can be calculated by calculating f(a).

Now Using the remainder theorem to divide 5x^2+9x-2 by x+3 to find the remainder:

f(x)=5x^2+9x-2

f(-3) = 5(-3)^2 +9(-3) -2

       =5(9) - 27 -2

       = 45-29

        = 16 !

Answer:

16

Step-by-step explanation:

apexs

Answer: IM pretty sure its A

Step-by-step explanation: Thanks for being Brain member help.

Answer:

Add 225/4 to x^2 + 15x.

Step-by-step explanation:

Take the coefficient of the middle term, 15.

Now divide it by 2, 15/2.

Square that, 225/4.

Add 225/4 to x^2 + 15x.

To create a perfect square, add 225/4 in the quadratic function x²+ 15x.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

We have a quadratic function:

= x²+ 15x

To create a perfect square, add and subtract by 225/4

= x²+ 15x + 225/4 - 225/4

= x²+ 15x + 15²/2² - 225/4

= (x + 15/2)² - 225/4

Thus, to create a perfect square, add 225/4 in the quadratic function x²+ 15x.

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Answer:

a) third; from left most graph

b) fourth; right most graph

Step-by-step explanation:

Part a)

The graph is between the speed and time.

Nicole begin jogging faster and faster i.e. speed is increasing w.r.t time thus we have linear line in beginning.

Then she hits a comfortable speed and stayed at it i.e. speed remained constant for that time. Thus we have a straight line.

After that she gradually slows down,i.e speed is decreasing w.r.t time. Thus we have decreasing linear line.

So the graph shape is linear line with increasing slope-a constant straight line-linear line with decreasing slope

which is the third; from left most graph in option

Part b)

The graph is between Distance to campus and time.

As Dale is hiking towards campus, distance should decrease w.r.t time.

In beginning, he is hiking at constant speed towards campus thus the distance towards the campus is decreasing w.r.t time. We get a decreasing linear line.

*Note: here constant speed is not important, instead hiking towards i.e. the direction is important because of the campus distance covered

Then he sees a snake and turn and runs the other way. Thus now the distance towards the campus is increasing. And we get increasing linear line.

*Note running other way is important because of the campus distance covered

After that, he sits for a while i.e he stops and so the distance towards campus also become constant w.r.t time. we get a straight line on the graph.

So the graph shape is linear line with decreasing slope-linear line with increasing slope-a constant straight line

which is the right-most graph in option !

No, the number 15.24 is not a repeating decimal.

No, the number 15.24 is not an example of a repeating decimal.

A repeating decimal is a number whose decimal representation goes on forever and repeats a block of one or more digits. For example, the number 0.3333... is a repeating decimal because the digit 3 repeats infinitely.

In the case of 15.24, the decimal representation terminates after two decimal places.

This is because it has a fixed and finite decimal representation. The digits "15" represent the whole number part, and the "24" represents the fractional part. Since there is no repeating pattern of digits after the decimal point, 15.24 is classified as a terminating decimal, not a repeating one.

Therefore, it is not a repeating decimal.

Answer:

(D). The number that is 7 to the right of 2 on the number line​

Step-by-step explanation:

It could also be the number that is 2 to the right of 7 on the number line. When numbers are added, the distances of each to the origin are laid end-to-end from the origin to the right on the number line.

2+7 can mean that the distance 2 is added to the distance 7, or vice versa. (The commutative property of addition says order does not matter.)

Answer: D is right, not lying

Step-by-step explanation:

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :  

                    4*x-12-(6*x-18)=0

Step-by-step explanation:

Pull out like factors :

  -2x + 6  =   -2 • (x - 3)

Hello there!

Start by removing the parenthesis combining like terms.

(4x + 12) - (6x - 18)

4x + 12 - 6x - 18

4x - 6x + 12 - 18

Next, simplify.

-2x + 12 - 18

-2x - 6

This is the final answer and it cannot be simplified any further, I hope this was helpful!

Answer:

A) 2.5

B) 50% of the values.

Step-by-step explanation:

A)

    The range of data starts at 2.0 and ends at 4.5 (i know it's a bit hard to tell lol), by subtracting 2.0 from 4.5 you get the interquartile range, 2.5.

B)

    25% of the values are mentioned in the box plot before the median, and 25% of the values are mentioned after the median in the box plot. This together gives you a sum of 50% of the values. Another way to do it is that outside of the interquartile range is 50% of the values.

Answer:

-25%

20 characters

so the difference is 84 - 63 = 21.

if we take 84 to be the 100%, what is 21 off of it in percentage?

[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 84&100\\ 21&x \end{array}\implies \cfrac{84}{21}=\cfrac{100}{x}\implies 4=\cfrac{100}{x}\implies 4x=100 \\\\\\ x=\cfrac{100}{4}\implies x=25[/tex]

Answer:

I believe A, C, and D are Coplanar and i think B. is non-collinear.

Step-by-step explanation:

A, C and D are coplanar because they lie on the same line.

B is non-collinear, because it don't lie on the same line as A, C, and D.

Hope my answer has helped you!

Answer:

I got 15 and 1/3.

For a prime number m, the only factors of m x m would be 1, m, and [tex]m^2[/tex]

If m is a prime number, the factors of m would be 1 and m itself since prime numbers have no divisors other than 1 and themselves. When you calculate m x m which is [tex]m^2[/tex], the factors list expands slightly but remains quite simple due to the nature of prime numbers.

Those would be all the factors of [tex]m^2[/tex] when m is a prime number.

3:30

Half past means 30 min after

Hope this helped!

Liza finished studying at 3:30

Answer:

Option A. is the correct option.

Step-by-step explanation:

As per table given in this question values of the function has been given as

f(x) = -3 for x = -2

We can rewrite the function as f(-2) = -3

As we know inverse of the function means [tex]-2 = f^{-1}(-3)[/tex]

or inverse function g(-3) = -2

and the ordered pair for the inverse function will be (-3, -2)

Similarly other ordered pairs for the inverse function given will be

(3, -1), (9, 0), (15, 1), (21, 2)

Therefore, the ordered pairs will be (-3, -2), (3, -1), (9, 0), (15, 1), (21, 2)

Option A is the right option.

The mean would be the best! The mean is when you add up all of those grades and divide by the amount of exams.

If you're solving it,

504 is the total divided by 6 tests would be 84.

The answer is 84 I’m glad i could help you

Answer:

41

Step-by-step explanation:

First, set up the equation (2x+5) + (3x-2)+(3x)+(x)= 57. Add all of the sides together and solve for x. Next, plug in x to 2x+5, and you have your answer. I hope this helps

Answer:

Hello! Your answer is 71.

Step-by-step explanation:

(48+59+62+71) =240

240 ÷ 4 = 60.

The 4 is the four different points he got.

The 60 is the average percent.

HOPE THIS HELPS!

48+59+62+x / 4=60

169+x / 4=60

169+x=60×4

169+x=240

x=240-169

x=71

This is the answer

hope you understand

Answer: second one P(10,3)?

Step-by-step explanation:

Answer:

The Answer is C(10,7) Just did it on my homework

Step-by-step explanation:

Answer:

The ratio of flour to sugar is 2:1

Step-by-step explanation:

Let f = weight of a bag of flour

Let s = weight of a bag of sugar

3f+2s = 32

4f = 32

We have 2 equations and 2 unknowns, we can solve

4f=32

Divide by 4

4f/4 = 32/4

f = 8

Each bag of flour weights 8 pounds

Substitute this back into the first equation

3(8) +2s = 32

24+2s = 32

Subtract 24 from each side

24-24 +2s =32-24

2s = 8

Divide by 2

2s/2 = 8/2

s = 4 pounds

Flours weighs 8 pounds and sugar weights 4 pounds

We want the ratio of flour to sugar

Flour: sugar

8:4

We can divide each side by 4

8/4: 4/4

2:1

Answer:

Isosceles trapezoid.

Step-by-step explanation:

That would be an isosceles trapezoid. The 2 non-parallel sides are equal.

Answer:

isosceles trapezoid

rectangle

The T-shirts are $16 each while the jeans are $39 each Hope it helps

Answer:

see explanation

Step-by-step explanation:

Given the recursive formula

[tex]a_{n}[/tex] = 3[tex]a_{n-1}[/tex] + 2 and a₄ = 20

Then working in reverse

3a₃ + 2 = 20 ( subtract 2 from both sides )

3a₃ = 18 ( divide both sides by 3 )

a₃ = 6

3a₂ + 2 = 6 ( subtract 2 from both sides )

3a₂ = 4 ( divide both sides by 3 )

a₂ = [tex]\frac{4}{3}[/tex]

3a₁ + 2 = [tex]\frac{4}{3}[/tex] ( subtract 2 from both sides )

3a₁ = - [tex]\frac{2}{3}[/tex] ( divide both sides by 3 )

a₁ = - [tex]\frac{2}{9}[/tex]

Hence

a₁ = - [tex]\frac{2}{9}[/tex]

a₂ = [tex]\frac{4}{3}[/tex]

a₃ = 6

a1 = (-2/9)

a2 = 4/3

a3 = 6

Hope this helps!

Answer:

y = mx+b

Step-by-step explanation:

Answer:

y = mx +b

Step-by-step explanation:

m=slope

b=y-intercept

Answer:

Step-by-step explanation:

Multiplying both sides of this equation by 3/1 will isolate b:

(3/1)(1/3)b = (3/1)(5/4) = 15/4 or 3  3/4.

Answer:

15/4

Step-by-step explanation:

Ok so the equation we have is:

[tex]\frac{1}{3} b = \frac{5}{4}[/tex]

Now we can multiply both sides by 3

[tex]1b = 15/4[/tex]

[tex]\frac{15}{4}[/tex]

Answer: B) rate of change of f(x) > rate of change of g(x)

Step-by-step explanation:

f(x) = 2ˣ

f(2) = 2² = 4 --> (2, 4)

f(3) = 2³ = 8 --> (3, 8)

rate of change (aka slope) of f(x):

[tex]\dfrac{8-4}{3-2}=\dfrac{4}{1}=\large\boxed{4}[/tex]

g(x) = 2x (graph)

g(2) = 4

g(3) = 6

rate of change (aka slope) of g(x):

[tex]\dfrac{6-4}{3-2}=\dfrac{2}{1}=\large\boxed{2}[/tex]

Answer:

Step-by-step explanation:

a c e

is the answer

Answer:

a c e the one above me is ri

Step-by-step explanation:

If [tex]x[/tex] is the amount (gal) of the 20% solution to be used, then the mixture would have a total volume of [tex]x+4[/tex] gal. We want to end up with a 25% salt solution, so that

[tex]0.2x+0.4\cdot4=0.25(x+4)[/tex]

[tex]\implies0.2x+1.6=0.25x+1[/tex]

[tex]\implies0.6=0.05x[/tex]

[tex]\implies x=12[/tex]

Answer:

4260 square inches

Step-by-step explanation:

35.5 times 20 times 6 is 4260

Answer:

A. [tex]C=K-273[/tex]

Step-by-step explanation:

You are given the formula

[tex]K=C+273[/tex]

You have to find C in terms of K. Subtract 273 from both sides of this equation:

[tex]K-273=C+273-273\\ \\K-273=C\\ \\C=K-273[/tex]

ANSWER

C=K-273

EXPLANATION

The given formula is: K=C+273

We need to solve this formula for the variable, C.

This means that we need to isolate the variable C on one side of the equation, leaving any other terms on the other side of the equation.

We subtract 273 from both sides of the equation to obtain,

K-273=C

This is the same as

C=C-273

The equivalent expression of the expression P (z ≥ 1.7) is,

⇒ 1 - P (z ≥ - 1.7)

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

We have to given that;

The expression is,

⇒ P (z ≥ 1.7)

Now, By definition of Probability of z - score we get;

⇒ P (z ≥ 1.7) = 1 - P (z ≥ - 1.7)

Thus, The equivalent expression of the expression P (z ≥ 1.7) is,

⇒ 1 - P (z ≥ - 1.7)

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