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3 years ago

5

Write an equation in slope-intercept form of the line with slope −1 that contains the point (5,−2).

1 answer:

statuscvo [17]3 years ago

5 0

Answer:

y=-x+3

Step-by-step explanation:

$y-y_{1}=m(x-x_{1})\\ y-(-2)=-(x-5)\\y+2=-(x-5)\\y+2=-x+5\\y+2-2=-x+5-2\\y=-x+3$

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F(x) = x + 4 and g(x) = 2x + 3, evaluate each expression.

Rom4ik [11]

Answer:

$15.~f(g(2))=\Large\boxed{11}\\$

$16.~g(f(2.5))=\Large\boxed{16}$

$17.~g(f(-5))=\Large\boxed{1}$

$18.~f(g(-5))=\Large\boxed{-3}$

Step-by-step explanation:

<h3>Given information</h3>

$f(x)=x+4$

$g(x)=2x+3$

<h3>Question 15. f(g(2))</h3>

<u>Substitute values into the first function</u>

$g(2)=2(2)+3$

$g(2)=4+3$

$g(2)=7$

<u>Substitute the values of the first function into the second</u>

$f(g(2))=f(7)$

$f(7)=(7)+4$

$f(7)=\Large\boxed{11}$

<h3>Question 16. g(f(2.5))</h3>

<u>Substitute values into the first function</u>

$f(2.5)=(2.5)+4$

$f(2.5)=6.5$

<u />

<u>Substitute the values of the first function into the second</u>

$g(f(2.5))=g(6.5)$

$g(6.5)=2(6.5)+3$

$g(6.5)=13+3$

$g(6.5)=\Large\boxed{16}$

<h3>Question 17. g(f(-5))</h3>

<u>Substitute values into the first function</u>

$f(-5)=(-5)+4$

$f(-5)=-1$

<u>Substitute the values of the first function into the second</u>

$g(f(-5))=g(-1)$

$g(-1)=2(-1)+3$

$g(-1)=-2+3$

$g(-1)=\Large\boxed{1}$

<h3>Question 18. f(g(-5))</h3>

<u>Substitute values into the first function</u>

$g(-5)=2(-5)+3$

$g(-5)=-10+3$

$g(-5)=-7$

<u>Substitute the values of the first function into the second</u>

$f(g(-5))=f(-7)$

$f(-7)=(-7)+4$

$f(-7)=\Large\boxed{-3}$

Hope this helps!! :)

Please let me know if you have any questions

7 0

1 year ago

-8 3/8+6 1/4 written in simplest form

natka813 [3]

Step-by-step explanation:

-8 3/8 + 6 1/4 = -2 1/8 or you can also write -17/8

<h2>hope this help you!! ;))</h2>

3 0

3 years ago

A polynomial p has zeros when I = 0.2 = -

Rainbow [258]

Answer:

p(x) = (5x - 1) (x + 3)

Step-by-step explanation:

I apologize if I couldn't answer correctly, the question was a bit hard to understand because of the formatting.

Also I didn't see my answer in the list of answer choices but here it is:

if the polynomial has zeros at 0.2 and -3 the equation would have to be:

p(x)=(x-0.2)(x+3)

This is because plugging either of those numbers into the polynomial would cause it to equal 0.

(x-0.2) can be simplified by multiplying everything in the parenthesis by 5, getting rid of all of the decimals, making the final answer:

p(x) = (5x - 1) (x + 3)

5 0

3 years ago

Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people ans

vladimir2022 [97]

Answer:

There is no following, we have data of all the people

Step-by-step explanation:

There where Sixty-five salespersons asked and the if we add all the persons that where asked it is the same. So there is no following

Fourteen people answered that they generally sell two cars; 14

nineteen generally sell three cars; 19

twelve generally sell four cars; 12

nine generally sell five cars; 9

eleven generally sell six cars 11

Adding 14+19+12+9+11=65 persons

8 0

3 years ago

Please help me Estimate 258+565 I been needing help since yesterday

wariber [46]

It could be 820 thats rounded to the nearest tenth
if its supposedto be rounded to the nearest hundred its 800

3 0

3 years ago