No, having the greater rate of change does not mean a function will necessarily reach an output with the smallest input. It also depends on the initial values of the functions. If Jeremy's aunt lives closer to school, Jeremy's rate of change is smaller, but he could still get to school before Amy.
We are asked to solve the formula

for

. Starting off, we can divide both sides by

, so we are left with only the variable

on the right-hand side. Next, we need to multiply the reciprocoal of

, which is

to both sides. This gives us

, which, when simplified, gives us

. Hope this helped and have a phenomenal day!
ANSWER:
A. Positive
STEP BY STEP EXP:
since the line is rising, (going up to the right), it would be positive. Here’s a reference.
Positive: rising (going up to the right)
Negative: falling (going down to the left)
Zero: horizontal line (going straight left to right)
Undefined: vertical line (going straight up and down)
hope this helped!!
Answer:
3x³ - 14x² - 7x + d = (x + 1)(ax² + bx + c)
--------------------------
(x + 1)(ax² + bx + c)
= ax³ + bx² + cx + ax² + bx + c
= ax³ + (a + b)x² + (b + c)x + c
--------------------------
ax³ + (a + b)x² + (b + c)x + c = 3x³ - 14x² - 7x + d
=> a = 3
a + b = -14
b + c = -7
c = d
=> a = 3, b = -17, c = 10, d = 10
Answer: $70
EXPLANATION
Given, for a 4 inch wide crown molding:
8 ft length costs $14
Cost of 40 ft length = ?
8 ft length costs $14
To find the cost of 1 ft length,
Divide through by 8
8ft/8 length costs $14/8
1ft costs $1.75
Now, to find the cost of 40 ft length
1ft costs $1.75
1 ft x 40 would cost $1.75
40 ft would cost $70
Therefore, it would cost $70 to buy 40 ft of crown molding