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Ira Lisetskai [31]
3 years ago
15

!28 POINTS! I need help quick!! The area of a rectangle is 2x^2-7x-15. Determine binomials that represent the length and the wid

th if this triangle.
Mathematics
1 answer:
Fudgin [204]3 years ago
3 0

Answer:

(2x +3  )(x-5)

one is the length and one is the width

Step-by-step explanation:

2x^2-7x-15

Factor

(2x      )(x      )

What are the factors of -15?  -1*15  and -3*5, 3*-5 , 1*-15

We need 2* one factor ± the other factor = -7

2*-5 +3 = -7

That means the -5 is on the outside and the +3 is on the inside

(2x +3  )(x-5)

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Cheddar Cheese
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Complete question :

Cheddar Cheese

$3/lb

Swiss Cheese

$5/lb

Keisha is catering a luncheon. She has $30 to spend on a mixture of Cheddar cheese and Swiss cheese. How many pounds of cheese can Keisha get if she buys only Cheddar cheese? Only Swiss cheese? A mixture of both cheeses?

What linear equation in standard form can she use to model the situation?

Answer:

10 lbs of cheddar cheese

6 lbs of Swiss cheese

$3a + $5b = $30

Step-by-step explanation:

Given that :

Cheddar cheese = $3/lb

Swiss cheese = $5/lb

Total amount budgeted for cheese = $30

How many pounds of cheese can Keisha get if she buys only Cheddar cheese?

Pounds of cheedar cheese obtainable with $30

Total budget / cost per pound of cheddar cheese

$30 / 3 = 10 pounds of cheedar cheese

Only Swiss cheese?

Pounds of cheedar cheese obtainable with $30

Total budget / cost per pound of Swiss cheese

$30 / 5 = 6 pounds of Swiss cheese

A mixture of both cheeses?

What linear equation in standard form can she use to model the situation?

Let amount of cheddar cheese she can get = a

Let amount of Swiss cheese she can get = b

Hence,

(Cost per pound of cheddar cheese * number of pounds of cheddar) + (Cost per pound of Swiss cheese * number of pounds of Swiss cheese) = total budgeted amount

(3 * a) + (5 * b) = $30

$3a + $5b = $30

4 0
3 years ago
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