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
kirill [66]
3 years ago
11

Estimate the rate of change of the graphed function over the interval -4 <_ x <_ 0

Mathematics
1 answer:
dezoksy [38]3 years ago
4 0

Answer:

  0.2071

Step-by-step explanation:

It looks like the graph is of the function ...

  y = √(x +8) -2

We know that (-4, 0) is one point on the graph. The other point of interest is at x=0, where y = √8 -2 ≈ 0.8284.

The average rate of change on the interval is then ...

  m = (0.8284 -0)/(0 -(-4)) = 0.2071

The average rate of change on the interval is about 0.2071.

_____

<em>Rougher estimate</em>

The graph goes through the points (-4, 0) and (1, 1), so has a slope of 1/5 = 0.2 on the interval [-4, 1]. We know the graph does not go through (0, 1), so the slope is not as high as 1/4 = 0.25. The curve is concave downward, so the average slope will be higher than 0.2, but we aren't sure how much higher.

A reasonable estimate of the rate of change on the interval is "a little more than 0.2, but less than 0.25."

You might be interested in
The equation 1.5r+15=2.25r1.5r+15=2.25r represents the number rr of movies you must rent to spend the same amount at each movie
Lelu [443]
1.5r+15=2.25r
Combine like terms: 1.5r+15-1.5r=2.25r-1.5r
15=0.75r
Get the unknown alone: 15/.75=.75/.75r
20=r or r=20 :)

7 0
3 years ago
Tom rolls 2 fair dice and adds the results from each.
o-na [289]

Answer:

1/6

Step-by-step explanation:

8 0
3 years ago
BRAINLIEST FOR WHOEVER SOVLES FIRST AND GIVES A GOOD REASON.
natulia [17]
X=60
That’s the answer

What I did to get it
(3x-60)=120
+60. +60
3x =180
————. = 60
3

X=60
6 0
3 years ago
PLS HELP NO LINKS PLEASE I NEED ANSWER.What is the surface area of the following triangular prism? 126 yd 2 96 yd 2 162 yd 2 90
Bumek [7]

Answer:

The answer is 96 yd 2

Step-by-step explanation:

5x7=35

4x7=28

3x7=21

then you add all of the total values together:

35+28+21+12=96

4 0
3 years ago
Read 2 more answers
The sum of 2 numbers is 10 the difference is 6 what are the numbers calculator
IgorLugansk [536]
8 & 2

8+2 = 10

8-2 = 6
3 0
3 years ago
Other questions:
  • What is the exact volume of the cylinder (radius 13 in., height 30 in.)
    12·1 answer
  • Draw a square and shade about 1/8 of it. How did you decide how much to shade?
    14·3 answers
  • Evaluate the expression for v = 9.<br> -V =
    7·1 answer
  • Two congruent squares overlap at the midpoint of their sides. If a square has a side of 24 cm, what is the area of the figure?
    14·1 answer
  • Find 3 consecutive integers such that the sum of the first and twice the second is 16 more than twice the third
    7·1 answer
  • A painter used 20 drops of red paint to make a certain shade of pink.How many drops of white paint should he add to 12 drops of
    15·1 answer
  • Danielle finds that she can use a translation and a reflection to make quadrilateral abcd fit perfectly on top of quadrilateral
    10·1 answer
  • Evaluate the polynomial 3x – 2y + 4 if x = -2, y = -4.
    6·1 answer
  • Charlie has more than 50 game coins Charlie has 8 more than 3 times as game coins as Steven if x represents the number of game c
    14·1 answer
  • Priscilla started a part time job working at an after school program.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!