A spring has an original length L inches. When a weight of x pounds is suspended from the spring, its new length y is given by the formula y = L + x k , where k is a constant, measured in pounds per inch. Solve the formula for x. Show the steps in your work. The value of k for a certain spring is 2.5. The length of the spring is found to be double its original length when a 10 pound weight is suspended from it. Write the equation for the original length of the spring and solve it. Show the steps in your work.

Answers

Answer 1

Answer: The way I figured this one out was saying that if it takes 2lbs to stretch it to 12 inches and 5lbs to stretch to 18 inches that means that 3 additional pounds = 6 inches. Therefore, each additional pound is 2 inches. We know already that with 2 lbs it was 12 inches in length and we can also say that 2 lbs = 4 inches. So subtract 4 from 12 and you end up with the answer of 8 inches.

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Identify the vertex of the quadratic function in standard form y=2x^2 -16x+31

Answers

Answer:

(4,1)

Step-by-step explanation:

The vertex of the quadratic can be found using -b/2a. The vertex is the point (-b/2a, f(-b/2a)).

To find the x coordinate of the quadratic, define its a,b, and c. The quadratic has a = 2, b=-16, and c=31. Then -b/2a is -(-16)/2(2) = 16/4 = 4.

To find the y-coordinate, input the x=4 and solve for y.

$y=2(4)^2-16(4)+31\ny=2(16)-64+31\ny=32-64+31\ny=1$

The vertex is (4,1).

Given: Two is an even integer or three is an even integer. Determine the truth value of this disjunction. Justify you answer.

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It is TRUE OR FALSE, which gives TRUE.

Which of the following is a solution for 5 - 2x ≤ -3?A. -4
B. 4
C. 1
D. -1

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Answer: B

It's X $\geq$ 4

How many ways can 4 letters from papaya be arranged

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Answer:

There would be 2 ways I would think because you can spell it with the same letters if that makes sense

A horizontal demand curve is more elastic than a vertical demand curve.A. True
B. False

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the answer is false my friend.... false

false.
the answer is false

How many terms are there in the expression 2x - 5y + 3 + x?

Answers

Answer:

There are three terms on the expression(3x, -5y, 3)

Step-by-step explanation:

The first step to solve this question is adding or subtracting all the common factors.

After that, each value that is added or subtracted is a term. So

2x - 5y + 3 + x = 3x - 5y + 3

There are three terms on the expression(3x, -5y, 3)

Hi there, it's really not 4 terms it actually 3 terms, I will explain why. If you combine the 2x with the x that would give you 3 terms, not 4 terms. So, there are 3 terms in it, you have to make sure to simplify it.

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