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Scrat [10]
2 years ago
14

The graph below shows the distance in miles, m, hiked from a camp in h hours.

Mathematics
2 answers:
Artist 52 [7]2 years ago
6 0

Answer:

Option 1) is correct

Step-by-step explanation:

Given: The graph shows the distance in miles, m, hiked from a camp in h hours.

To find: hourly interval that had the greatest rate of change

Solution:

Rate of change between two points refers to the vertical change divided by the horizontal change.

For hour 0 to hour 1:

rate of change = \frac{2-0}{1-0}=2

For hour 2 to hour 3:

rate of change = \frac{4.5-3.5}{3-2}=1

For hour 1 to hour 2:

rate of change = \frac{3.5-2}{2-1}=1.5

For hour 3 to hour 4:

rate of change = \frac{5-4.5}{4-3}=0.5

So, rate of change is greatest in interval: hour 0 to hour 1

Dominik [7]2 years ago
6 0

Answer:

1. 2 and 3

2.150

3. continued its journey

Step-by-step explanation:

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2 years ago
What value does ​f(x,y) = (x + 2y)/(x -2y) approach as​ (x,y) approaches​ (0,0) along the​ x-axis?
WARRIOR [948]

Answer:

B. ​f(x,y) has no limit and does not approach infinity or minus infinity as​ (x,y) approaches​ (0,0) along the​ x-axis.

Step-by-step explanation:

Given the function

​f(x,y) = (x + 2y)/(x -2y)

We can apply

y = mx

then

lim (x,y) → (0, 0)  f(x,y) = lim (x,mx) → (0, 0)  f(x, mx)

⇒  lim (x → 0) (x + 2mx)/(x -2mx) = lim (x → 0) x(1+2m)/(x*(1-2m)) = (1+2m)/(1-2m)

If

y = x²

then

lim (x,y) → (0, 0)  f(x,y) = lim (x → 0)  f(x)

⇒  lim (x → 0) (x + 2x²)/(x -2x²) = (1 + 4(0))/(1 - 4(0)) = 1

If

y = x³

then

lim (x,y) → (0, 0)  f(x,y) = lim (x → 0)  f(x)

⇒  lim (x → 0) (x + 2x³)/(x -2x³) = (1 + 6(0)²)/(1 - 6(0)²) = 1

We applied L'Hopital's rule to solve the limits.

Then, we can say that ​f(x,y) has no limit since the limits obtained are different.

4 0
3 years ago
63% of 300 is what number ​
PolarNik [594]

Answer:

189

Step-by-step explanation:

You take 63% make it a decimal by dividing it by 100 and then you multiply it with 300. 300*.63=189.

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3 years ago
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