ΔHAT is similar to ΔCAN.<br><br><br><br> What is the value of y?

Please helppp with this math question <333

Naya [18.7K]

Answer:

The average rate of change of the function $g(x)=x^2+10x+18$ over the interval $-11 \leq x\leq -1$ is -1

Step-by-step explanation:

We are given the function $g(x)=x^2+10x+18$ over the interval $-11 \leq x\leq -1$

We need to find average rate of change.

The formula used to find average rate of change is : $Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}$

We have b=-1 and a=-11

Finding g(b) = g(-1)

$g(x)=x^2+10x+18\\Putting \ x=-1\\g(-1)=(-1)^2+10(-1)+18\\g(-1)=1-10+18\\g(-1)=9$

Finding g(a) = g(-11)

$g(x)=x^2+10x+18\\Putting \ x=-11\\g(-11)=(-11)^2+10(-11)+18\\g(-1)=121-110+18\\g(-1)=29$

Finding average rate of change

$Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}\\Average \ rate \ of \ change=\frac{9-29}{-1-(-11)}\\Average \ rate \ of \ change=\frac{-10}{-1+11}\\Average \ rate \ of \ change=\frac{-10}{10}\\Average \ rate \ of \ change=-1$

So, the average rate of change of the function $g(x)=x^2+10x+18$ over the interval $-11 \leq x\leq -1$ is -1

5 0

2 years ago

Simplify each expression using the order of operations. Then, match the expression (term) on the left with its solution (definit

Ratling [72]

Step-by-step explanation:

A 55ttty65t78with city council spokeswoman said that in August

6 0

3 years ago

TechWiz Electronics makes a profit of $35 for each MP3 player sold and $18 for each DVD player sold. Last week, TechWiz sold a c

Blababa [14]

(35x+18)=126. I think this is right not for sure

4 0

3 years ago

Read 2 more answers

Last year at a certain high school, there were 125 boys on the honor roll and 80 girls on the honor roll. This year, the number

Elodia [21]

Answer:

6.8% decrease

Step-by-step explanation:

a drop of 8% means that only 92% of 125 boys remained on honor roll from last year; .92 x 125 = 115

a drop of 5% means that only 95% of 80 girls remained on honor roll from last year; .95 x 80 = 76

total number of students on honor roll last year = 125 + 80 = 205

total number of students on honor roll this year = 115 + 76 = 191

percent of change = (191 - 205) ÷ 205 = -14/205 = -.068

-.068, which represents a 6.8% decrease

3 0

2 years ago

*PLEASE HELP MEEEEEE* You throw a dart at the board shown. Your dart is equally likely to hit any point inside the square board.

yawa3891 [41]

Answer:

19.63%

Step-by-step explanation:

The probability of scoring 8 points is the probability of getting a dart into the green circle.

That probability is equivalent to the area of the circle divided by the total area of the square board.

The area of the circle according to $A=\pi*r^2$ , is $25\pi$ cm squared

The area of the whole square board is one side squared: 20 squared = 400 cm squared

The probability is therefore equal to $25\pi/400 = \pi/16=0.19634=19.63%$ %

8 0

3 years ago

ΔHAT is similar to ΔCAN. What is the value of y?