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trapecia [35]
3 years ago
9

(8x 2 −15x)−(x 2 −27x)=ax 2 +bxleft parenthesis, 8, x, squared, minus, 15, x, right parenthesis, minus, left parenthesis, x, squ

ared, minus, 27, x, right parenthesis, equals, a, x, squared, plus, b, x If the equation above is true for all values of xxx, what is the value of b-ab−ab, minus, a ?
Mathematics
1 answer:
quester [9]3 years ago
3 0

Answer:

<h2>5</h2>

Step-by-step explanation:

Given the expression (8x² −15x)−(x² −27x) = ax² +bx, we are to determine the value of b-a. Before we determine the vwlue of b-a, we need to first calculate for the value of a and b from the given expression.

On expanding the left hand side of the expression we have;

= (8x² −15x)−(x² −27x)

Open the paranthesis

= 8x² −15x−x²+27x

collect the like terms

= 8x²−x²+27x −15x

=  7x²+12x

Comparing the resulting expression with ax²+bx

7x²+12x =  ax²+bx

7x² = ax²

a = 7

Also;

12x = bx

b =12

The value of b - a = 12 - 7

b -a = 5

Hence the value of b-a is equivalent to 5

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8 0
3 years ago
Read 2 more answers
Fifteen percent of the pigment in paint color A is black. Sixty percent of the pigment in paint color B is black. An unknown amo
Vitek1552 [10]

Answer: 0.15(40) + 0.6(x – 40) = 0.25(x)

Step-by-step explanation:

Hi, to answer this question we have to write an equation with the information given:  

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15% = 15/100 = 0.15 (decimal form)

0.15 A

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0.15 (0.40)  

0.6 (x-0.40)

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0.15(40) + 0.6(x – 40) = 0.25(x)

Feel free to ask for more if needed or if you did not understand something.

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