All categories

2 years ago

Consider these functions:

Mathematics

1 answer:

Lana71 [14]2 years ago

7 0

Answer:

Answer is 12

Step-by-step explanation:

f(g(-2))

=f((-2)^2+2)

=f(6)

=-1/2×6^2+5×6

=12

You might be interested in

Which of the following is the equation of a line in slope-intercept form for a

Arada [10]

The slope intercept formula is:

y = mx + b

m is the slope

b is the y-intercept

In this case the slope is...

The y-intercept is...

(0, -4)

Plug these numbers in for m and b respectively:

y = 1x + (-4)

y = x - 4

Hope this helped!

~Just a girl in love with Shawn Mendes

7 0

3 years ago

Read 2 more answers

Let f(x)=7x-13. Find f^-1(x).

vitfil [10]

Ok but allow my humble self to use $y$ instead of $f(x)$ .

We have,

$y=7x-13$

If you wanna know what the inverse is swap the values of x and y,

$x=7y-13$

And now solve for y,

$x+13=7y\implies\boxed{y=f^{-1}(x)=\frac{x+13}{7}}$ .

Hope this helps.

5 0

3 years ago

Read 2 more answers

Simplify the expression 6(-5n + 7)

Hunter-Best [27]

6(-5n+7)=0

We simplify the equation to the form, which is simple to understand

6(-5n+7)=0

Reorder the terms in parentheses

+(-30n+42)=0

Remove unnecessary parentheses

-30n+42=0

We move all terms containing n to the left and all other terms to the right.

-30n=0-42

We simplify left and right side of the equation.

-30n=-42

We divide both sides of the equation by -30 to get n.

n=1.4

Hope this helps!

7 0

3 years ago

Read 2 more answers

Which inequality has –12 in its solution set? A B C D

Feliz [49]

Answer:

Step-by-step explanation:

solve each inequality:

A : x+6<8 , x<-8-6 , x<-14

B: x+4≥-6 , x≥-10

C: x-3>-10 , x>-7

D:x≤-9

since -12 is on the left side of the number line then x≤ -9 would be the solution

7 0

3 years ago

Read 2 more answers

wolverine [178]

Answer:

Ivy is 6 years old and Rose is 12 years old.

Step-by-step explanation:

To solve this problem, two variables are necessary since we have two unknown variables: Ivy's age and Rose's age.

Ivy's age will be $x$

and Rose's age will be $y$

"Ivy is half as old as her sister":

$x=\frac{y}{2}$

this will be our fist equation.

"In six years, Ivy will be two-thirds as old as Rose"

in six years Ivy will have $x+6$ years, and Rose will have $y +6$ years, so for this sentence we have the equation:

$x+6=\frac{2}{3}(y+6)$

this will be our second equation.

Substituting the value of x from the first equation into the second, and solving for y(Rose):

$\frac{y}{2}+6=\frac{2}{3} (y+6)\\\frac{y+12}{2} =\frac{2}{3} (y+6)\\y+12=\frac{4}{3} (y+6)\\3(y+12)=4(y+6)\\3y+36=4y+24\\36-24=4y-3y\\12=y$

Rose is 12 years old.

and Ivy (using the fist equation):

$x=\frac{12}{2}=6$

Ivy is 6 years old.

6 0

3 years ago