-2,8 is the correct answer
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:
The slope of the perpendicular line will be 2. Remember, a perpendicular slope is the negative reciprocal.
So, we can make the equation . We need to find b, and put b in.
To find b, put in the numbers of y and x.
Solve for b:
Now replace b in the original equation with 12 and that will be the answer:
The answer is .
Exactly one activity:
246None of the activities :
1At least one activity:
74Snowboarding and Ice skating but not skiing:
5Snowboarding or ice skating but not skiing:
132.
Only skiing :
119.
The diagram is in the attachment.
Answer: x = 4.5
Step-by-step explanation:
1) Reorder the terms:
3x = -9 + 5x
2) Solving
3x = -9 + 5x
3) Solving for variable 'x'.
4) Move all terms containing x to the left, all other terms to the right.
5) Add '-5x' to each side of the equation.
3x + -5x = -9 + 5x + -5x
6) Combine like terms: 3x + -5x = -2x
-2x = -9 + 5x + -5x
7) Combine like terms: 5x + -5x = 0
-2x = -9 + 0
-2x = -9
8) Divide each side by '-2'.
x = 4.5
9) Simplifying
x = 4.5