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BigorU [14]
3 years ago
7

What is the average rate of change from x = 0 to x = 4?

Mathematics
1 answer:
hammer [34]3 years ago
3 0
1) find the corresponding y values for when x = 0 and when x = 4,
when x = 0, y = 4
when x = 4, y = 4

the coordinates are (0,4) and (4,4)

2) to calculate the average rate of change, find the slope of the two points:

(0,4) (4,4)

(change in y) 4 - 4 = 0
(change in x) 4 - 0 = 4

0/4 = 0

the average rate of change is 0!
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What are the values of a and b?
ivann1987 [24]

Answer:

<h2>a = 400/21, b = 580/21</h2>

Step-by-step explanation:

Small triangles are similar. Therefore, the sides are proportional

\dfrac{a}{20}=\dfrac{20}{21}               <em>cross multiply</em>

21a=(20)(20)       <em>divide both sides by 21</em>

a=\dfrac{400}{21}

For b, we can use the Pythagorean theorem:

b^2=\left(\dfrac{400}{21}\right)^2+20^2\\\\b^2=\dfrac{160000}{441}+400\\\\b^2=\dfrac{160000}{441}+\dfrac{176400}{441}\\\\b^2=\dfrac{336400}{441}\to b=\sqrt{\dfrac{336400}{441}}\\\\b=\dfrac{\sqrt{336400}}{\sqrt{441}}\\\\b=\dfrac{580}{21}

3 0
3 years ago
A Girl Scout troop is placing markers every 16 meters along a trail. How many kilometers apart are the markers
Makovka662 [10]

Answer:

.016 kilometers

Step-by-step explanation:

A kilometer is 1000 meters.  Divide the length of the markers by 1000 (16/1000) and you get the answer of .016 kilometers.

3 0
4 years ago
Stephanie has 3 bags of soil to put in her garden. Each bag of soil will cover 125.3 ft? How many square feet will Stephanie be
vodka [1.7K]
<h3>Answer: 375.9 sq ft</h3>

This is assuming there is no overlap.

===================================

Work Shown:

1 bag = 125.3 sq ft

3*(1 bag) = 3*(125.3 sq ft)

3 bags = 375.9 sq ft

7 0
3 years ago
Help!! Please thank you
Alchen [17]
Ok so we need to set the bottom to 0 to find the vertical asympyotes. This becomes x^2 - 4 = 0. Since we're talking about asymptotes, i'll assume you can solve basic equations. Solving for x and you get x = ±2. This means the vertical asymptotes are at ±2. To solve for horizontal asymptotes you take the limit as x goes to ±∞. Either way you end up with ±∞/∞. Now this isn't 1 because they grow at different rates. You differentiate both the top and bottom(L'hopital) and you get 6x/2x which becomes 3. This means the horizontal asymptote is at y = 3.
3 0
3 years ago
Or if you drink a very strong coffee she think that it helps her get a lot of work done it does but not for long after the first
N76 [4]
45 minutes longer...maybe
6 0
3 years ago
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