Answer:
This is a linear equation of the form y = mx + b, where m is the rate of change and b is the y-intercept, also known as the value of y when x = 0. Our independent variable is the number of miles we travel, and we will call that x. If we pay .20 per mile, and miles is "x", we represent that as .20x. The 70 is the amount we will pay per day even if we drive 0 miles. Therefore, the equation is:
y = .20x + 70.
I cannot graph this for you here.
We can choose a number of miles, say 100, and solve for our cost:
y = .20(100) + 70
y = 20 + 70
y = 90
We can expect to pay $90 if we drive 100 miles in a day.
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Step-by-step explanation:
Answer: the first one is 14 and the second one is 5
Step-by-step explanation:
A) (x, y) → (3x, 3y)
<h2>
Explanation:</h2>
When you dilate an object, you enlarge or reduce the size of it. To do this, we need a scale factor which allows us to make the object larger or smaller depending on the value of that factor. Let's call this factor as k, then it is true that:
- If k > 1, the object will be larger than the original one.
- If k < 1, the object will be smaller than the original one.
If the dilation is performed centered at the origin, then corresponding points of the original and dilated figures will be connected by straight lines, being the center of dilation the point where all the lines meet.
The only option that meets this requirement is:
A) (x, y) → (3x, 3y)
Whose scale factor is k = 3 making the dilated figure larger than the original one.
<h2>Learn more:</h2>
Dilation: brainly.com/question/10946046
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Answer:
The volume of the sphere is 288π in³
Step-by-step explanation:
To calculate the volume of a sphere we have to use the following formula:
V = volume
r = radius
V = ⁴⁄₃πr³
V = ⁴⁄₃ * π * (6in)³
V = π * ⁴⁄₃ * 216 in³
V = 288π in³
The volume of the sphere is 288π in³
Answer:
A. 15, 20, and 25
Step-by-step explanation:
Note that 3-4-5 is a pythagorean triple via following:
Dividing 15, 20, and 25 by 5 nets you the pythagorean triple 3-4-5.
