Last month Maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. Let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. If she hiked a total of 90 miles, which equation can be used to find the number of times Maria hiked each trail?A. x + y = 90

B. 5x – 10y = 90

C. 90 – 10y = 5x

D. 90 + 10y = 5x

Answers

Answer 1

Answer:

It's the 3rd equation (which is in a disguised form)...we have

90 - 10y = 5x add 10y to both sides

90 = 5x + 10y

This says that the nmber of tmes she hiked the 5 mile trail (x) plus the number of times she hiked the 10 mile trail (y) = 90 miles

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What is the value of f(-4) in the piecewise function f(x)= -x-5 for -5<= x <= -2; -x^2+1 for -2<=x<=2; (x-3)^2+2 for 2<=x<=4? If that makes any since

Answers

Answer:

The value for f(-4) in the piecewise function is -1

Step-by-step explanation:

As the function is defined by pieces we must choose the correct interval when replacing. In this case, the value of the function needs to be calculated in x=4.

This value of x is within the interval:

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Therefore we replaced in the corresponding expression:

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f(-4)=-(-4)-5=-1

Take into account this case is not particularly a function since, for example, in the value of x=-2 the expression can take two values corresponding to two different pieces. The obtained result is only valid in the range for -5<=x<=-2.

We first need to pick the correct piece to use. In this case, we will use f(x) = -x-5 because -5<=-4.

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f(-4) = -(-4) - 5
f(-4) = -1

2 more than the product of 4 times m Express algebraically

Answers

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The equation of a line a is given by 3y=x+12- Find line b that is parallel to line a and passes through the point (6, -8)

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