I guess A i don't know hope the answer is correct
a. 3h = -12 + 5s
b. Speed = 51. 6 miles per hour
c. Height = 76 feet
<h3>How to determine the value</h3>
Given the function;
5s - 3h = 12
Where;
- s is the speed in miles per hour
- h is the height in feet
a. To solve for 3h
We have;
- 3h = 12 - 5s
3h = -12 + 5s
b. If the height is 82 feet , then
5s - 3(82) = 12
5s - 246 = 12
collect like terms
5s = 12 + 246
5s = 258
Make 's' the subject
s = 258/ 5
s = 51. 6 miles per hour
c. If the speed is 48 miles per hour, we have;
5(48) - 3h = 12
240 - 3h = 12
collect like terms
-3h = 12 - 240
-3h = -228
Make 'h' the subject
h = -228/ -3
h = 76 feet
Thus, the speed and height are 51. 6 miles per hour and 76 feet respectively.
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Answer:
Answer is D hope this helps :)
Step-by-step explanation:
a. Factorize the denominator:

Then we're looking for
such that


If
, then
; if
, then
. So we have

as required.
b. Same setup as in (a):

We want to find
such that

Quick aside: for the second term, since the denominator has degree 2, we should be looking for another constant
such that the numerator of the second term is
. We always want the polynomial in the numerator to have degree 1 less than the degree of the denominator. But we would end up determining
anyway.

If
, then
; if
, then
. Expanding everything on the right then gives

which tells us
and
; in both cases, we get
. Then

as required.
Answer:
i think it is b but im not 100 percent sure