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Digiron [165]
2 years ago
15

Consider the expansion of (x^2+px-3)(3x-5),where p is a constant.If the coefficient of x of the expansion is -44,find the value

of p
Mathematics
1 answer:
V125BC [204]2 years ago
4 0

Answer:

p = 7

Step-by-step explanation:

(x² + px - 3)(3x - 5)

each term in the second factor is multiplied by each term in the first factor, that is

x²(3x - 5) + px(3x - 5) - 3(3x - 5) ← distribute parenthesis

= 3x³ - 5x² + 3px² - 5px - 9x + 15 ← collect like terms

= 3x³ +x²(3p - 5) - x(5p + 9) + 15

given the coefficient of the x- term is - 44 , then

-(5p + 9) = - 44 ← - (5p + 9) is th coefficient of x in the expansion

- 5p - 9 = - 44 ( add 9 to both sides )

- 5p = - 35 ( divide both sides by - 5 )

p = 7

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Step-by-step explanation:

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3 years ago
How do I solve this problem <br> 15 = w + 4
vova2212 [387]

Answer:

w = 11

Step-by-step explanation:

<u>Step 1:  Subtract 4 from both sides</u>

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3 years ago
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A rectangular parking lot has a perimeter of 820 ft. The area of the parking lot measure SL 42,000 ft
horsena [70]

Answer:

a= 200

b = 210

Step-by-step explanation:

My assumption is, we have to find the length of sides of rectangle

Given

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from eq (1)

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=> a = 410-b   (iii)

putting the value of a in eq(ii), we get

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By putting value of b in eq(iii),

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6 0
3 years ago
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Answer:

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Step-by-step explanation:

(see images below)

Hope this helped!

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Answer:

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