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Lemur [1.5K]
3 years ago
10

Solve by factoring and list only the positive solution: 2x2 - 5x = 88

Mathematics
1 answer:
Semmy [17]3 years ago
8 0
It has to be noted that there are several ways to factor the item. One of these is shown below. 

The general form of a quadratic equation is,
            Ax² + Bx + C = 0

where A and B are numerical coefficients and C is the constant. If we are to express the given equation in this form, 
        2x² - 5x - 88 = 0

The sum of the roots, x₁ and x₂ is -B/A and the product is equal to C/A.

Sum: x₁ + x₂ = -(-5/2) = 5/2
 Product: x₁x₂ = -88/2 = -44

The values of x₁ and x₂ are 8 and -11/2.

The factors are (x - 8) and (x + 11/2)

<em>ANSWERS: 8 and -11/2. </em>
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A) Because the 80 is by itself that would be the start up fee.

B) We are told x is the number of months. Since the X is being multiplied by 30, we know that would be the total monthly cost. This is being added to the 80, which does not have an exponent, so we know this is a single cost, which would be the start up fee.

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D) I used the same format as the first equation, which meant replacing the start up cost from the original one ( 80) with the start up of the new one (20). Then I changed the monthly cost from the original one (30) with the monthly cost of the new one (35).

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Answer: y=4x

Step-by-step explanation:

We will make use of the slope intercept form to solve this question:

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