Answer:
D
Step-by-step explanation:
Given
(x + 2)² + 5(x + 2) - 6 = 0
Using the substitution u = x + 2 , then the equation can be expressed as
u² + 5u - 6 = 0 → D
Answer:
Brandon pays $49.74 in total
Step-by-step explanation:
$46.49 x 1.07 = $49.74
Answer:
x ≈ 14.4
Step-by-step explanation:
using the cosine ratio in the right triangle
cos59° =
=
( multiply both sides by 28 )
28 × cos59° , then
x ≈ 14.4 ( to the nearest tenth )
Answer:
a. 3/4 inches per minute
b. -1 1/8 inches per minute
c. B is fastest; 1 1/8 is more than 3/4
Step-by-step explanation:
A <em>change</em> is a <em>difference</em>. A <em>rate of change</em> is <em>one difference divided by another</em>, usually the change in y-value divided by the change in x-value.
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<h3>a.</h3>
The change in elevation is the difference between the elevation at the end of the period (6 inches) and the elevation at the beginning of the period (3 inches). The change in time period is the difference between the end time (8 min) and the beginning time (4 min).
change in elevation per minute = (6 -3 inches)/(8 -4 min)
= (3 inches)/(4 min) = 3/4 inches/minute
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<h3>b.</h3>
Similarly, ...
change in elevation per minute = (3 -7 1/2 inches)/(18 -14 min)
= (-4 1/2 inches)/(4 min) = -1 1/8 inches/minute
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<h3>c.</h3>
We know that 3/4 is more than -1 1/8, but when we talk about the "fastest rate of change", we're generally interested in the magnitude--the value without the sign. That means we understand a rate of change of -1 1/8 inches per minute to be "faster" than a rate of change of 3/4 inches per minute.
The rate of change from Part B is fastest. 1 1/8 inches per minute is more than 3/4 inches per minute.
10x⁴ and 6w³
1) We see no the same letters in both expressions, so we will need to include all letters in the final answer. x⁴w³
2) number part
10 = 2*5
6=3*2
We need 2*3*5=30 (we need 2 only one times, because we have 2 only one time in each of the numbers).
3)The least common multiple
2*3*5x⁴w³ = 30x⁴w³
Answer is 30x⁴w³.