Answer:
Substitute –3 for x and 5 for h in the difference quotient.
Step-by-step explanation:
The difference quotient for the function f(x) is 21x² + 21xh + 7h² + 2. Now, we know that the difference quotient equal f(x + h) - f(x) = 21x² + 21xh + 7h² + 2. The change in x is h = x₂ - x₁. So, if x changes from x = -3 to x = 2, where x₁ = -3 and x₂ = 2, h = x₂ - x₁ = 2 - (-3) = 2 + 3 = 5.
So to find the average rate of change of f(x) from x = -3 to x = 2, we substitute x = -3 and h = 5 into the difference equation f(x + h) - f(x) = 21x² + 21xh + 7h² + 2. Since, x starts at x = -3 and increases by 5 units to x = 2.
I’m pretty sure the answer is (y=sin(3x))
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You can use desmos for these kinds of questions(desmos is a graphing app)
For an exponential function the y-intercept is the "initial value" (not the common ratio).

will always be 2. if that's what you need
note that

because anything to the power of zero equals 0 (mathematically it's deciding something by itself)
Answer:
2 tons of dirt per hour
Step-by-step explanation:
helpful to know: 1/6 hours = 10 minutes
you can create a proportion to find unit rate by using (tons of dirt ÷ time)
we'll use 'd' to represent amount of dirt and use minutes
1/3÷10 = d/60
1/3÷10 = 1/3 × 1/10 = 1/30
we now have:
1/30 = d/60
we can cross-multiply to get:
30d = 60
d = 2
p → q represents the original conditional statement and the contrapositive of the original conditional statement. Then the correct options are A and E.
The missing options are given below.
<h3>What is dilation?</h3>
Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
There is no effect of dilation on the angle.
Doubling the dimensions of a rectangle increases the area by a factor of 4.
If p represents doubling the dimensions of a rectangle and q represents the area increasing by a factor of 4.
Then the true statement will be
Then the correct options are A and E.
More about the dilation link is given below.
brainly.com/question/2856466
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