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
Andreas93 [3]
3 years ago
15

If f(x) = x2 + 2x + 3, what is the average rate of change of Rx) over the interval (-4, 6]?

Mathematics
1 answer:
JulijaS [17]3 years ago
3 0

Answer:

Step-by-step explanation:

The average rate of change of a function over an interval is simply the slope over the interval because:

let \: g(x)=f'(x)\\\frac{\int\limits^b_a {g(x)} \, dx }{b-a}(the\:average\:value\:of\:g)=\frac{f(b)-f(a)}{b-a}

We have to know f(6) and f(-4)

f(x) = x^2 + 2x + 3\\f(6) = 6^2 + 2(6) + 3\\f(6) = 36 + 12 + 3\\f(6) = 51\\\\f(-4) = (-4)^2 + 2(-4) + 3\\f(-4) = 16 - 8 + 3\\f(-4) = 11\\\\\frac{f(6)-f(-4)}{6-(-4)} = \frac{51-11}{10} = \frac{40}{10} = 4

You might be interested in
Garrett is building a slide for his kids. If the ladder is 1 meter tall and he wants the bottom of the slide to be 4 meters from
TEA [102]

The slide needs to be 4.123 meters

Step-by-step explanation:

Length for the ladder- 1 mtr

Distance of the bottom of the slide from the ladder- 4 mtr

Length of the slide needed

We can view the whole set up in the form of a right-angled triangle with the base representing the slide distance from the ladder, ladder length representing altitude and slide length representing as hypotenuse (As provided in the diagram)

For right-angled triangle we know from Pythagoras theorem-

Base² + altitude²= hypotenuse ²

Substituting the values of base as 4 mtr and altitude as 1 m

(Hypotenuse)²= 17

∴ Hypotenuse (slide length) =4.123 mtr

∴ Length of the slide needed= 4.123 meters

7 0
3 years ago
Read 2 more answers
Simplify each problem and express the answer in scientific notation.
Nadya [2.5K]

Answer:

i think photomath will help you with those

Step-by-step explanation:

go to your appstore and download photomath

6 0
3 years ago
Hurry !!!! I need help​
Anna [14]

Answer:

x = 66

Step-by-step explanation:

m<5 + m<6 = 180

2x + 48 = 180

2x = 132

x = 66

4 0
2 years ago
Eight years ago the daughter age was thrice the son age​
coldgirl [10]

Answer:

what's the question here ?

8 0
3 years ago
Solve, 3x+18&gt;7, is the question​
Lelu [443]

Answer:

I hope this helps

Step-by-step explanation:

give me braineast

3 0
2 years ago
Other questions:
  • Can someone give me the answer to this please?
    8·1 answer
  • Yuri made a fruit salad with 1/3 cup blueberries,5/8 cup strawberries,and 5/6 cup apples.how much Fruit did yuri make?
    15·1 answer
  • Which linear inequality is represented by the graph?
    5·2 answers
  • From midnight to 6 am , the temperature rose 8C. at 6am, the temperature was -20c. what was the temperature at midnight?
    12·1 answer
  • Jerry was 6 years old when his mother was 30. Now she is twice his age. How old is Jerry
    5·1 answer
  • If (3,4) is reflected across the x-axis what are the new coordinates​
    12·1 answer
  • Find the value of a in the diagram of the right triangle. Round to the nearest tenth.
    11·1 answer
  • Can someone plz help me with the other half of this ? The green question mark part.
    8·2 answers
  • What is 4 1/3 divided by 4/7​
    8·2 answers
  • Callie brushes her teeth three times each day. She leaves the water running. Is it reasonable to say that she uses 2 cups of wat
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!