y intercept = 1/2
<u>Step-by-step explanation:</u>
Step 1:
Formula y=mx+b in Slope Intercept form( whereas m= slope of the given equation, b= y intercept)
Step 2:
Comparing the given equation y = -3x + 1/2
we get m=-3(Slope) and y-intercept b=1/2
Answer:
About 376.99 cubic inches
Step-by-step explanation:
Cylinder has a volume of:

Where
V is the volume
r is the radius
h is the height
We need to find the volume of the cylinder, then multiply that answer by 3/4 to get the solution to this problem. First, the full volume of the cylinder.
Given
r = 4
h = 10
So,

Now, we multiply by 3/4:

Mary should be vase to 376.99 cubic inches
ANSWER
D. As the x-values increase, the y-values would decrease
EXPLANATION
The given function is

The slope of this function is

Since the slope is negative, there is a negative or an inverse relationship between x and y.
As the values of x increases, the values of y decreases.
Also, as the values of x decreases, the values of y increases.
The first option is not true because as x is becoming bigger and bigger negatively, y will become positive.
For instance, when


This implies that,

Options B is obviously not true because the function has a negative relationship between x and y.
Option C is also false because, x can be positive since it is the independent variable.
See graph
Therefore, the correct answer is option D.
Answer:
x = 1.71
Step-by-step explanation:
![x^3-20=-15\\x^3=-15+20\\x^3=5\\\sqrt[3]{x^3} =\sqrt[3]{5} \\x=1.71](https://tex.z-dn.net/?f=x%5E3-20%3D-15%5C%5Cx%5E3%3D-15%2B20%5C%5Cx%5E3%3D5%5C%5C%5Csqrt%5B3%5D%7Bx%5E3%7D%20%3D%5Csqrt%5B3%5D%7B5%7D%20%5C%5Cx%3D1.71)
One ton = 2000 lbs
Therefore, 1.5 tons = 3000 lbs
3000-300=2700lbs