Solve by factoring: x^2- 8x- 20 =0

Answer:

0i + 10j, or just 10j

Step-by-step explanation:

Vector u = <6, -4> and vector v = <12, 2>.

We are to find v - 2u, which is:

<12, 2> - 2<6, -4>.  We combine x components and y components to obtain:

<12-12, 2+8>, or <0, 10>.

In terms of i and j, that'd be 0i + 10j, or just 10j.

Answer:

v-2u=10j

Step-by-step explanation:

The component of vector v, are

u=<6,-4>

From the graph; vector u, has components.

v=<12,2>

We perform the subtraction;

v-2u=<12,2>-2<6,-4>

We multiply out the scalar to get:

v-2u=<12,2>-<12,-8>

This implies that;

v-2u=<12-12,2--8>

v-2u=<0,10>

v-2u=0i+10j

v-2u=10j

Answer: Choices 1, 3, and 5 are functions

Step-by-step explanation:

To be a function, the x value can only be used once. In choices 2 and 4, the x value is repeated; therefore they are not functions.

Answer:

Step-by-step explanation:

Arranging it in ascending order:

1, 2, 2, 3, 3, 4, 7, 7, 7, 9

Mode is most frquently occuring observation..

i.e. Here ,7 Occurs the most(thrice)

So mode= ,7

Hello There!

Mode: The number that occurs most often in a set of numbers.

Although it's optional, I like to put the numbers from least to greatest because it can be easier to see what number occurs the most.

-Least To Greatest-

1 - 2 - 2 - 3 - 3 - 4 - 7 - 7 - 7 - 9

When we look at our set of data, we can notice that the number 7 appears the most so the mode for out set of data is 7.

Mode =  7

Answer:

$50

Step-by-step explanation:

So that means 40 percent is equal to $20 do

40:20

Divided by 2

20:10

Times 5

100:50

Answer:

$50

Step-by-step explanation:

Sale on sweater = 40% .

Money saved = $20 .

Let original price be x then ,

=> 40% of x = $20

=> 40x/100 = $20

=> x = $20 *100/40

=> x = $ 50

Answer: [tex]d=11[/tex]

Step-by-step explanation:

To find the value of "d" you need to solve for "d" from the equation given

[tex]2d -5=17[/tex]

First, you have to apply the Addition property of equality and add 5 to both sides of the equation. Then:

[tex]2d -5+(5)=17+(5)\\2d=22[/tex]

And finally, you have to apply the Division property of equality and divide both sides of the equation by 2.

Therefore, you get that the value of "d" is:

[tex]\frac{2d}{2}=\frac{22}{2}\\\\d=11[/tex]

Please give Brainliest!

Answer: The value of d is 11

Step-by-step explanation:

To find the value of "d" you need to subtract five from 2d or 2•11 which would give you 17.

2d -5=17

First you would add five to each side.

2d -5 + 5=17+5

This would show you that whatever you multipy 2 by would have to equal 22.

2d=22

The only thing times 2 that equals 22 is 11, so that would have to be your answer.

Hope this helps :)

Have a blessed evening!

Answer:

g(4) = 11

Step-by-step explanation:

x = 4

4(2) + 3 = 11

Answer:

19

Step-by-step explanation:

Replace the x with four

To calculate the cost per cup of bleach, first convert the quantity from gallons to cups. A 3-gallon bottle equals 48 cups. Divide the total cost ($13.92) by the total number of cups (48) to determine the cost per cup, which is $0.29.

This problem involves finding out the unit cost or, in this case, the cost per cup of bleach. One gallon is equivalent to 16 cups, hence a 3-gallon bottle is equivalent to 48 cups.

So, if $13.92 buys you 48 cups, you can calculate the cost per cup by dividing the total cost by the number of cups.

Proceed with the following calculation: $13.92 costs /48 cups = $0.29 per cup of bleach costs.

In conclusion, each cup of bleach from this 3-gallon bottle would cost you $0.29.

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To find the price per cup of bleach from a 3-gallon bottle costing $13.92, we multiply 3 gallons by 16 cups per gallon to get 48 cups, and then divide $13.92 by 48 to find the cost per cup, which is approximately $0.29.

To calculate the price per cup of bleach when given the price per gallon, we need to know how many cups are in a gallon and then divide the total cost by the total number of cups.

First, we establish that there are 16 cups in a gallon. Since we are dealing with a 3-gallon bottle, the total number of cups will be 3 gallons times 16 cups per gallon, which equals 48 cups.

Next, we take the total cost of the 3-gallon bottle, which is $13.92, and divide it by the total number of cups, 48. Performing this division gives us the cost per cup. So, $13.92 divided by 48 cups equals approximately $0.29 per cup.

This method demonstrates how to break down bulk costs into more manageable unit prices and can be applied across various products and measurements.

x should be the subject

Answer:

x should be the subject

Step-by-step explanation:

Answer:

3x+2y=5

2y=5-3x

y=5/2-3/2x

Or you can write as:

y=2.5-1.5x

Answer: y=3/5x+5/2

Step-by-step explanation:

Answer:

[tex]16(x^{2})[/tex]

Step-by-step explanation:

we know that

[tex](4x)^{2} =(4^{2})(x^{2})=16(x^{2})[/tex]

therefore

The expression in the form [tex]k(x^{n})[/tex] is equal to

[tex]k(x^{n})=16(x^{2})[/tex]

where

k=16

n=2

Answer:

Angles in a triangles add up to 180°

Respectively 1 : 2 : 3 is going to be 1 x , 2 x and 3 x so,

1 x + 2 x + 3 x = 180°

⇒ Simplify

6 x = 180°

⇒ Divide by 6 on both sides to isolate x

x = 30°

Since the ratio was 1 x : 2 x : 3 x and x is 30°,

30 : 60 : 90

And since there is a 90° angle, it is a right - angled triangle

Answer:

Step-by-step explanation:

[tex]V_p=6\\\\\text{Calculate the volume of a cube:}\\\\V_{c}=\left(\dfrac{1}{2}\right)^3=\dfrac{1}{8}\\\\\text{Calculate how many times the volume of the prism is greater}\\\text{than the volume of the cube:}\\\\\dfrac{V_p}{V_c}=\dfrac{6}{\frac{1}{8}}=6\cdot8=48[/tex]

Answer:

138

Step-by-step explanation:

152+125=277

277-135=142

around 138

Side DF is congruent (the = and ~ symbol) to side DE

Answer:

The correct option is A) [tex]\overline{DF}\cong \overline{DE}[/tex]

Step-by-step explanation:

Consider the provided figure.

The coordinates of E is (-2,3)

The coordinates of D is (-5,1)

The coordinates of F is (-3,-2)

Now use the distance formula to find the length of line segment:

[tex]\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

The distance between (-2,3) and (-5,1) is:

[tex]\overline{DE}=\sqrt{\left(-5-\left(-2\right)\right)^2+\left(1-3\right)^2}=\sqrt{13}[/tex]

The distance between (-5,1) and (-3,-2) is:

[tex]\overline{DF}=\sqrt{\left(-3-\left(-5\right)\right)^2+\left(-2-1\right)^2}=\sqrt{13}[/tex]

The distance between (-3,-2) and (-2,3) is:

[tex]\overline{EF}=\sqrt{\left(-2-\left(-3\right)\right)^2+\left(3-\left(-2\right)\right)^2}=\sqrt{26}[/tex]

Hence the length of line segment DE and DF is same.

Thus the correct option is A) [tex]\overline{DF}\cong \overline{DE}[/tex]

Answer:

You have to scale the bigger triangle to a small one with ratio of 1.1 to 4.4,  [tex]\frac{1.1}{4.4\\}[/tex]

the ratio is 1/4

the scale factor is 0.25 , so the statement is true

The answer is:

[tex]f(3)=(\frac{1}{216})[/tex]

To find the required function f(3), we need to use the given function f(x) and evaluate "x" equal to 3 (input).

We are given the function:

[tex]f(x)=(\frac{1}{6})^{x}[/tex]

Then, evaluating "x" equal to 3, we have:

[tex]f(3)=(\frac{1}{6})^{3}[/tex]

[tex]f(3)=(\frac{1}{6})^{3}=(\frac{1}{6})*(\frac{1}{6})*(\frac{1}{6})=(\frac{1}{6*6*6})[/tex]

[tex]f(3)=(\frac{1}{6*6*6})=(\frac{1}{216})[/tex]

Hence, we have that the answer is:

[tex]f(3)=(\frac{1}{216})[/tex]

Have a nice day!

The fastest rate for larger values of x will be observed in the function  f(x)=5^x + 2.

An exponential function is one in which a term has been raised to a particular power as we can see in the options given.

The fastest rate for larger values of x will be observed in the function  f(x)=5^x + 2.

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Answer:

12.5

Step-by-step explanation:

7:56*100 =

(7*100):56 =

700:56 = 12.5

Answer: 26

Step-by-step explanation:

because...

Feet result: 0.18055555556 ft.

Calculation: 2.1666666666666665" / 12

= 0.18055555556ft

But at the end your answer is going to 26.

So 2.1666666666666665 = 26

* Hopefully this helps:)

* Mark me the brainliest:)!!

Answer:

Step-by-step explanation:

2  1/6 ft = 24 inches plus (1/6)(12 in), or 24 inches plus 2 inches, or 26 inches.

2  1/6 is ALREADY a mixed number, in feet.

Answer:

The relative maximum value is [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

The given function is

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

We differentiate to obtain;

[tex]g'(x)=-\frac{4x}{(x^2+3)^2}[/tex]

At turning points [tex]g'(x)=-\frac{4x}{(x^2+3)^2}=0[/tex]

[tex]\implies x=0[/tex]

[tex]g''(x)=\frac{16x^2}{(x^2+3)^3}- \frac{4}{(x^2+3)^2}[/tex]

We apply the second derivative test to obtain:

[tex]g''(0)=\frac{16(0)^2}{((0)^2+3)^3}- \frac{4}{((0)^2+3)^2}=-\frac{4}{9}[/tex]

Since the second derivative is negative, there is a relative maximum at x=0.

We substitute x=0 into the original function to obtain the relative maximum value.

[tex]g(0)=\frac{2}{(0)^2+3}=\frac{2}{3}[/tex]

To find the relative maximum value of g(x) = 2/(x² + 3), one should evaluate the function at x = 0, giving the relative maximum value as 2/3.

The question is asking to identify the relative maximum value of the function g(x) = 2/(x² + 3).

To find the relative maximum, we need to find the critical points by taking the derivative of g(x) and setting it to zero. However, this function does not have a simple expression where the derivative is zero.

Instead, we note that because the denominator x² + 3 is always positive and has a minimum when x = 0, the function g(x) will have a maximum value when x = 0.

Thus, the relative maximum value of g(x) is obtained by plugging x = 0 into the function: g(0) = 2/(0² + 3) = 2/3.

Answer:

8

Step-by-step explanation:

The number of positive three-digit even integers whose digits are among 9, 8, 7, 5, 3, and 1 are:

                               36

We are asked to find the number of positive three-digit even integers whose digits are among 9, 8, 7, 5, 3, and 1.

We know that a number is even if the last digit of the number is divisible by 2 i.e. even.

Hence, the only digits among the given digits which is even is: 8

Now, at the first place any of the 6 digits could come up.

( Since, the digits could be repeated)

Also, at the second palace any of the 6 digits could come up.

Hence, the total number of such numbers possible are:

                 6×6×1=36

Answer:

You got it right.

Step-by-step explanation:

Answer:

The discriminant is -23 and the equation has no real roots.

Step-by-step explanation:

Since, the discriminant of the quadratic equation [tex]ax^2+bx+c=0[/tex]

is,

[tex]D=b^2-4ac[/tex]

If D > 0, then the equation has two distinct real roots,

if D = 0, then the equation has two equal real roots,

if D < 0 then the equation has no real roots,

Here, the quadratic equation is,

[tex]x^2+3x+8=0[/tex]

Discriminant,

[tex]D=3^2-4\times 1\times 8=9-32 = -23 < 0[/tex]

Therefore, the discriminant is -23 and the equation has no real roots.

C=2πr

25.13 cm is the conference

Answer:

8π cm

Step-by-step explanation:

The diameter is 8 cm

We know the circumference is  pi times diameter

C = pi * d

C = pi *8

C = 8pi cm

We leave it in terms of pi since we want the exact value.

Answer:

[tex]y+1=3(x+1)[/tex]

Step-by-step explanation:

step 1

Find the slope of the given line

[tex]m=(3+3)/(2-0)[/tex]

[tex]m=3[/tex]

step 2

Find the slope of the line that is  parallel to the given line

we know that

If two lines are parallel, then their slopes are the same

therefore

the slope is equal to [tex]m=3[/tex]

step 3

Find the equation in point slope form

we have

[tex]m=3[/tex]

[tex]point (-1,-1)[/tex]

The equation of the line into point slope form is equal to

[tex]y-y1=m(x-x1)[/tex]

substitute

[tex]y+1=3(x+1)[/tex] ----> equation of the line into point slope form

Answer:

50.265

Step-by-step explanation:

Answer:

reflect across the y-axis; rotate 180° counterclockwise about the origin - first choice

Answer:

Option A.

Step-by-step explanation:

The graph below shows the transformation from triangle 1 to triangle 2 as below.

1). To understand the transformation we will take a point A. Present coordinates of point A are (1, -1).

When point A is reflected across y - axis, coordinates of A' become (1, 1).

2). Now we see that triangle 2 is in 3rd quadrant having coordinates A"(-1, -1)

which reveals that A'(1, 1) has been rotated by 180° counterclockwise.

Therefore, option A. is the correct choice.

Answer:

1

Step-by-step explanation:

Factorise numerators/ denominators where possible

3x² - 4x + 1 = (x - 1)(3x - 1)

x² - 1 ← is a difference of squares and factors as

x² - 1 = (x - 1)(x + 1)

Expressing the product in factored form

[tex]\frac{(x-1)(3x-1)}{(x-1)(x+1)}[/tex] × [tex]\frac{x+1}{3x-1}[/tex]

Cancel common factors on numerator/denominator, that is

Cancel (x - 1) , (x + 1) and (3x - 1), leaving the simplified form 1

Answer: 1

Step-by-step explanation:

Answer:

C, and D are both roots of this equation

Answer:

The two values of x that are roots are:

[tex]x_{1} = \frac{-3 + \sqrt{21} }{2}[/tex]

[tex]x_{2} = \frac{-3 - \sqrt{21} }{2}[/tex]

Step-by-step explanation:

A cuadratic function has the form [tex]ax^{2} + bx +c = 0[/tex]

To calculate the roots of the cuadratic equation [tex]x^{2} + 3x -3 = 0[/tex] you have to solve the formula:

[tex]x = \frac{-b}{2a}[/tex] ±[tex]\frac{\sqrt{b^{2} -4ac} }{2a}[/tex]

In this case, a =1, b=3 and c= -3

Replacing the values of a,b and c in the formula:

[tex]x = \frac{-3}{(2)(1)}[/tex] ± [tex]\frac{\sqrt{(3)^{2} - (4)(1)(-3) } }{(2)(1)}[/tex]

Solving the mathematic operations:

x = [tex]\frac{-3}{2}[/tex] ± [tex]\frac{\sqrt{9 + 12 } }{2}[/tex]

The two roots are:

[tex]x_{1} = \frac{-3 + \sqrt{21} }{2}[/tex]

[tex]x_{2} = \frac{-3 - \sqrt{21} }{2}[/tex]

Answer:

9 Grams

Step-by-step explanation:

You would move the decimal over 3 times to the left  from the end of 9000

To convert milligrams to grams, you should know that 1 gram is equal to 1000 milligrams. This is because "milli" in milligrams means one-thousandth of a gram.
If an energy bar contains 9000 milligrams of protein, to convert this amount to grams, you divide the milligrams by 1000 (because 1000 milligrams equals 1 gram).
Here's the calculation:
\( 9000 \text{ milligrams} \div 1000 = 9 \text{ grams} \)
So, an energy bar that contains 9000 milligrams of protein has 9 grams of protein.

Jared is correct because if you substitute a random number in for x 2 for example

2+10=12

2-10 doesn’t =12

Answer:

Both Jared and Nicole are correct. You can solve for either variable and use the equivalent expression to create a one-variable equation. Then you can solve. Jared would have created a one-variable equation that can be used to solve for x, whereas Nicole would have created a one-variable equation that can be used to solve for y.

Step-by-step explanation: