Answer:
Rate of change is most commonly defined as "the change in y over the change in x", or "how much does y change when x is changed by 1 unit".
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
I think it is I'm not sure but I hope it is
(B) f(t) = 4(t − 1)2 + 3; the minimum height of the roller coaster is 1 meter from the ground
(C) f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 2 meters from the ground
(D) f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 1 meter from the ground
The function is a parabola, and the problem asks to transform the equation into f(t)=a(x-h)2 + k
Given f(t) = 4t2 -8t +7
= (4t2 - 8t + 4) + 7 - 4
=4 (t2 - 2t + 1) + 3
= 4 (t-1) 2 +3
This removes C and D from the viable choices.
Differentiating the f(t),
f’(t) = 8t – 8, the maximum/minimum value occurs at f’(t) = 0
0 = 8t – 8
t = 1
determining if maximum or minimum, f”(t) > 0 if minimum, f”(t) < 0 maximum
f”(t) = 8 > 0, therefore minimum
f(1) =4(1)^2 – 8(1) +7
= 3
Therefore, minimum height is 3.
Answer:
T= 4 s (second option).
Answer:
C5 because there's going to be 5 triangles when you do it hope I helped
Step-by-step explanation:
When writing an equation in slope-intercept form, there will be need for slope and y- intercept.
When any equation is represented in the y = mx +c form, it is called the slope intercept form of the equation.
Here m is slope and c is constant.
To writing the slope intercept form of the equation,
There will be requirement of slope,
and y intercept, it will be in form of (0, a), here a will be value of y coordinate.
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Answer:
slope, m
y-intercept
Step-by-step explanation:
Answer:
m ≠ 0
Step-by-step explanation:
The product of the fraction is 8/25. Option C is correct
To multiply these fractions, you can follow these steps:
Multiply the numerators (top numbers) together.
Multiply the denominators (bottom numbers) together.
Here's how it's done:
(4/9) x (1 & 4/5) x (2/5)
Step 1: Multiply the numerators:
(4/9) x (9/5) x (2/5)
Step 2: Multiply the denominators:
(4/9) x (9/5) x (2/5) = (4 x 9 x 2)/(9 x 5 x 5)
Now, calculate the result:
(4 x 9 x 2)/(9 x 5 x 5) = 72/225
To simplify the fraction, find the greatest common divisor (GCD) of 72 and 225, which is 9:
(72 ÷ 9)/(225 ÷ 9) = 8/25
Hence the product of the fraction is 8/25
Learn more on fraction here: brainly.com/question/11562149
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