f(x)=−2x^2+2x−20
Find f(−8)

Answer:

f(0) = 0

f(22) = 11

f(-22) = -11

Step-by-step explanation:

Substitute the values for x.

[tex]1.)~f(0)=1/2(0)=0\\\\2.)~f(22)=1/2(22)=11\\\\3.)~f(-22)=1/2(-22)=-11[/tex]

Answer:

C

Step-by-step explanation:

Given to us:

[tex](a)\ x^2+3x-2;\ -x^2-3x+2\\\\(b)\ -y^7-10;\ -y^7+10\\\\(c)\ 6z^5+6z^5-6z^4;\ (-6z^5)-(6z^5)+6z^4;\\\\(d)\ x-1;\ -x+1\\\\(e)\ (-5x^2) + (-2x) + (-10);\ 5x^2 - 2x + 10[/tex]

Additive inverse means changing the sign of the number and adding it to the original number to get 0(zero) as our answer.

(a)

[tex]x^2+3x-2;\ -x^2-3x+2)\\x^2+3x-2 +( -x^2-3x+2)\\[/tex] on solving this we will get zero.

hence, this is an additive inverse.

(b)

[tex]-y^7-10;\ -y^7+10\\-y^7-10+( -y^7+10)[/tex]  on solving this we will not be getting zero.

hence, this is not an additive inverse.

(c)

[tex]6z^5+6z^5-6z^4;\ (-6z^5)-(6z^5)+6z^4,\\\\6z^5+6z^5-6z^4+[ (-6z^5)-(6z^5)+6z^4}[/tex]  on solving this we will get zero.

hence, this is an additive inverse.

(d)

[tex]x-1;\ -x+1\\x-1+( -x+1)[/tex]    on solving this we will get zero.

hence, this is an additive inverse.

(e)

[tex]-5x^2 + -2x -10;\ 5x^2 (- 2x) + 10\\-5x^2 + -2x -10+ 5x^2 (- 2x) + 10[/tex]  on solving this we will not be getting zero.

hence, this is not an additive inverse.

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https://brainly.com/question/13715269

Answer: 24 of 80 is 30%

Step-by-step explanation:

24 of 80 can be written as: 24/80

To find percentage, we need to find an equivalent fraction with denominator 100. multiply both numerator & denominator by 100: 24/80 x 100/100

= (24x100 / 80 ) x 1/10 = 30/100

Therefore, the answer is 30%

If you are using a calculator, simply enter 24÷80×100 which will give you 30 as the answer.

Answer:

In total she works 21 hours and for the equation its gn=g+n

Step-by-step explanation:

got the equation i just put gn but that can be replaced with 21 since g and n both represent the number of hours fawzia works

Answer:

There is 7 students in each group

Step-by-step explanation:

So it's basically easy math 42 divided by 6 equals 7 :)

Hopes This Helps :)

Answer:

48350.06

Step-by-step explanation:

nvm I'm wrong is there a way to delete answer

Use the simple interest formula:

Total = start value x( 1+ (interest rate x time In years))

Total = 48350 x (1+(0.03 x 2))

Total = 48350 x 1.06)

Total = $51,251

If the pair of points (5, 6) and (10, y) lie on a line with slope 4/5, then the value of y is 10

The slope m of the line passing through the points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is calculated as:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

For the line passing through points (5, 6) and (10, y)

[tex]x_1=5, y_1=6, x_2=10, y_2=y[/tex]

The slope, m = 4/5

Substitute these value into the slope formula and solve for y

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\\frac{4}{5}=\frac{y-6}{10-5} \\\\\frac{4}{5}=\frac{y-6}{5}[/tex]

Cross  multiply:

4(5)  =  5(y-6)

4   =  y  -  6

Collect like terms

y  =  4  +  6

y  =  10

Learn more here: https://brainly.com/question/13763238

Answer:

Step-by-step explanation:

from the given information, I would say they are all false since congruent means they are identical in form, whereas these are similar parrellelograms since potentially if you upscaled one it would be close to the other

Answer:

x-3=-x+3

2x=6

x=3 y=0

the solution is the intersection of those two lines!

Answer:

84 and 144

Step-by-step explanation:

If the two numbers are  a  and  b  and their LCM is  x  and their HCF is  y  then there is a rule that is  a×b=x×y

in this case:

a×b=x×y

a×b=(504)×(24)

a×b=12096

when finding factors of 12096 that are between 60 and 160, we can see that 84 and 144 is the best pair.

hope this helps! :D

have a miraculous day!! <3

Answer:

4x + 5y = 19 - (x + 5y = 16)

4x - x = 3x

5y - 5y = 0

19 - 16 = 3

3x = 3

x = 1

4x + 5y = 19

4(1) + 5y = 19

4 + 5y = 19

5y = 15

y = 3

Solution: (1,3)

Step-by-step explanation:

4x + 5y = 19 - (x + 5y = 16)

4x - x = 3x

5y - 5y = 0

19 - 16 = 3

3x = 3

x = 1

4x + 5y = 19

4(1) + 5y = 19

4 + 5y = 19

5y = 15

y = 3

Solution: (1,3)

Hope this helps! :)

Step-by-step explanation:

To solve both questions you will have to use the Pythagoras theorem

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

c being the hypotenuse

so to find AB we say

[tex] {ap}^{2} = {pb}^{2} + {ab}^{2} [/tex]

To make AB the subject of the formula, we take PB over. Therefore:

[tex] {ab}^{2} = {ap}^{2} - {pb}^{2} [/tex]

now we just substitute

[tex] {ab}^{2} = {13}^{2} - {5}^{2} [/tex]

[tex] {ab}^{2} = 169 - 25[/tex]

[tex] {ab}^{2} = 144[/tex]

square root both sides of the equation

[tex]ab = 12[/tex]

We then use the same formula to find AQ(which is a hypotenuse)

[tex] {aq}^{2} = {ab}^{2} + {bq}^{2} [/tex]

[tex] {aq}^{2} = {12}^{2} + {9}^{2} [/tex]

[tex] {aq}^{2} = 144 + 81[/tex]

[tex] {aq}^{2} = 225[/tex]

square root both sides

[tex]aq = 15[/tex]

Answer:

(-1,1)

Step-by-step explanation:

To find where both lines intersect, solve for x and y with substitution.

Equation 1.

-8x+3y=11

Equation 2.

y=3x+4

Substitute y from equation 2 into equation 1.

-8x+3(3x+4)=11

-8x+9x+12=11

x=-1

Now plug x into the second equation to solve for y.

y=3(-1)+4

y=-3+4

y=1

Both lines intersect at (-1,1)

Answer:

  (-1, 1)

Step-by-step explanation:

It's somewhat difficult to find the point of intersection when graphing these by hand, but a graphing calculator can show it easily.

The lines intersect at (-1, 1).

__

You are given an expression for y, which makes it easy to use substitution as a solution method. Using the second equation to substitute for y in the first equation, we get ...

  -8x +3(3x +4) = 11

  x +12 = 11 . . . . simplify

  x = -1 . . . . . . . subtract 12

Substituting back into the second equation, we find y to be ...

  y = 3(-1) +4 = 1

The lines intersect at (x, y) = (-1, 1).

_____

Additional comment

The slopes are 8/3 and 3. When hand-drawn lines have nearly the same slope, it is difficult to tell exactly where they intersect. Of course, a graphing calculator does not have the problem of finite line width and an apparent long region of intersection. It can pinpoint the intersection exactly.

Of course, "substitution" is not the only way this system of equations can be solved. However, for this system, it is one of the easiest when doing the solution by hand.

Answer:

50 grams

Step-by-step explanation:

You simply subtract 70 from 120, and get 50.

Answer:

40 Grams!! i got it wrong and this was the answer

Step-by-step explanation:

h(x)=3x−3, find h(3)

h(3)= 3(3)−3

= 9-3

= 6

Answer:

I think it's 25 meters.

Hope that helps. x

Answer:

I think it will be 25 meters

According to it's asymptotes, the function represented by the graph is:

[tex]y = \frac{3x + 5}{x + 1}[/tex]

The vertical asympotes of a function f(x) is the points which are outside the function domain.

In this problem, there is a vertical asymptote at x = -1, which is a zero of the denominator, hence the denominator is x + 1.

The horizontal asymptotes are the values of the function as x goes to infinity.

In this problem, they are given by:

[tex]\lim_{x \rightarrow -\infty} f(x) = -3[/tex]

[tex]\lim_{x \rightarrow \infty} f(x) = 3[/tex]

Hence, the option that satisfies it is:

[tex]y = \frac{3x + 5}{x + 1}[/tex]

To learn more about asymptotes, you can take a look at https://brainly.com/question/16948935.

Answer: The value of R is 6.

Explanation: I recommend you go to these two links for an easier understanding:

https://www.wikihow.com/Find-the-Y-Intercept

https://www.wikihow.com/Find-the-X-Intercept

Answer:

1/3 ^ 1/3 * 1/3 = (1/3)^3 = 1/27

Answer:

f(x) = x^2 is a classic example

f( 3 ) = 9 and

f( -3 ) = 9, but

f^(-1)[9] is undefined because the result can be 3 and -3

[tex] \: \: \: \: \: \: [/tex]

If a value is greater than 100% of the original value, then it is larger than the original value. For example, 150% of 6 is 6 150% = 61.5 =9> 6. -

If a value is greater than 100% of the original value, then it is larger than the original value. For example, 150% of 6 is 6 150% = 61.5 =9> 6. -If the value is less than 1% of the original value, then it is smaller than the original value. For example, 0.1% of 6 is 6 0.1% = 6 0.001 0.006 < 6.

Answer:

y = -5/6x + 6

Step-by-step explanation:

Since we have 2 points, (6,0) and (6,1), we can calculate for the slope by using the formula

Slope = m = (y2 - y1)/(x2-x1) = (1-6)/(6-0) = -5/6

Then plug in m, x(from one of the point), and y(from one of the point) to the equation y = mx + b which get us 0 = -5/6*6+b if we use the point (6,0). Now we'll get b = 6. And then plug in -5/6 for m and 6 for b into the equation y = mx + b we'll get y = -5/6x + 6

Answer:

-4y²- 16y

Step-by-step explanation:

   2y(-2y - 8)

   2y (-2y) + 2y (-8)  Distributive

      -4y² - 16y                Multiply (+)(-) = -   and (y)(y) = y²

Answer:

option C can be used.

Step-by-step explanation:

hope this helps you.