1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sindrei [870]
3 years ago
8

I dont understand even where to begin on this, please help!​

Mathematics
1 answer:
babymother [125]3 years ago
3 0

Answer:

-17

Step-by-step explanation:

The average rate of change is synonymous to the slope of a function.

We want to find the average rate of change for the function:

f(x)=-2x^2-3x-8

For the interval [3, 4]

So, we simply have to calculate the values of the function at the endpoints and then find the slope between them.

Our endpoint values are x=3 and x=4. So:

\begin{aligned} f(3)&=-2(3)^2-3(3)-8 \\ f(3)&=-18-9-8 \\ f(3)&=-35\end{aligned}

And:

\begin{aligned} f(4)&=-2(4)^2-3(4)-8 \\ f(4)&=-32-12-8 \\f(4)&=-52\end{aligned}

So, we have the two points (3, -35) and (4, -52).

Now, we can use the slope formula:

m=\frac{y_2-y_1}{x_2-x_1}

Calculate the slope:

m=\frac{-52-(-35)}{4-3}=-17/1=-17

Hence, the slope or the average rate of change for our function for the interval [3, 4] is -17.

You might be interested in
The Celsius temperature is 32 degrees. What is the Fahrenheit temperature
Aleksandr [31]

Answer:

89.6

Step-by-step explanation:

(32°C × 9/5) + 32 = 89.6°F

3 0
3 years ago
Read 2 more answers
Ginas pet pot bellied pigs is on a diet. He can have no more than 18 ounces of pig food per day. How many scoops of pig food can
professor190 [17]

Answer:

Step-by-step explanation:

Need to know how many ounces in a scoop of pig food. Is there a ratio or formula associated? Lmk.

6 0
3 years ago
Find the lateral surface area of the figure.
Brut [27]

Surface area of the cylinder = 816.4 sq. ft.

Solution:

Height of the cylinder = 21 ft

Diameter of the cylinder = 10 ft

Radius of the cylinder = 10 ÷ 2 = 5 ft

Use the value of \pi = 3.14

Surface area of the cylinder = 2 \pi r h+2 \pi r^{2}

Substitute the given values in the surface area formula, we get

Surface area of the cylinder $=2\times3.14\times 5\times 21+2 \times3.14\times 5^2

                                               =659.4+157

                                               =816.4 ft²

Hence the surface area of the cylinder is 816.4 sq. ft.

7 0
3 years ago
Read 2 more answers
Center: (-9, -3), point on circle: (-11, 2)
Vsevolod [243]

Answer:

y = -\frac{5}{2}x-\frac{51}{2}

Step-by-step explanation:

6 0
3 years ago
Find the missing value.<br> 2 cookies<br> $3.00<br> 4 cookies<br> X
sergiy2304 [10]
6 dollars because if 2 is equal to 300 dollars just double it to get 6 dollars
3 0
3 years ago
Read 2 more answers
Other questions:
  • The pth percentile is a value such that approximately a. p percent of the observations are less than the value and (100 - p) per
    11·1 answer
  • A restaurant has two different seating options: a table and a family booth. A table can seat 2 people, and a family booth can se
    11·1 answer
  • Is six hundred seventy-two thousand__0.8 is it greater than less than or equal to 5th grade mathhh
    8·1 answer
  • How many solutions would the corresponding parabola have
    11·2 answers
  • 1
    13·1 answer
  • Sale 10 % off During the sale, Susan pays $603 for a wedding cake. What was the original price?
    12·2 answers
  • Given f(x) = 4 - 3x, what is the value of f(-5)?
    9·1 answer
  • Expression
    15·1 answer
  • Find the slope intercept equation of the line
    5·2 answers
  • PLS HELP WILL MARK BRAINLIEST PLS INCLUDE SOLUTION
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!