2x-6=14 2x=20
a)x=10
-5x5=40 -5x=35
B)x=-7
12x+240=24 12x=-216
C) x=-18
Answer:
0 ≤ x ≤ 2
Step-by-step explanation:
A function show the relationship between an independent variable and a dependent variable. The independent variable (input) does not depend on other variables while the dependent variable (output) depend on other variables.
In this question, the volume of the water is the dependent variable and the time taken is the independent variable. Let y represent the volume of the water and x represent the time taken. Therefore:
y = 0.75x
The domain of the function is the set of independent variable, it can be gotten by determining x when y is minimum and maximum. Hence:
For y = 0
0 = 0.75x
x = 0/ 0.75 = 0
For y = 1.5 gallon
1.5 = 0.75x
x = 1.5/0.75 = 2
Hence, the domain = 0 ≤ x ≤ 2
Finding the volume of a cube involves multiplying with this formula.
Height * Width * Length = volume
To find what the side lengths are, we can take the cube root of 64.
∛64 = 4
Height = 4
Width = 4
Length = 4
These sides are multiplied together to get 64.
The only answer choice that makes sense is Option A.
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Answer:
C
Step-by-step explanation:
First we find the z-score.
z = (x - μ) / σ
z = (520 - 500) / 60
z = 0.33
Using a calculator or z-score table:
P(z < 0.33) = 0.6293
The probability is approximately 63%. Answer C
