(8x 2 −15x)−(x 2 −27x)=ax 2 +bxleft parenthesis, 8, x, squared, minus, 15, x, right parenthesis, minus, left parenthesis, x, squ
quester [9]
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
Answer:
The answer to the first one is y
=
4/7
x
−
13
/7
The second one is already in standard form
Step-by-step explanation:
Answer:
$80, $48
Step-by-step explanation:
The original price was x.
The price is reduced by 40%. The markdown is 40% of x, or 0.4x.
The actual dollar amount of the markdown is $32.
That means that 0.4x must equal $32.
We set up an equation and solve for x, the original price.
0.4x = 32
Divide both sides by 0.4
x = 32/0.4
x = 80
The original price is $80.
The markdown is $32.
$80 - $32 = $48
The marked down price is $48.
Answer: $80, $48
Convert all fractions to have the same denominator.
To convert, we must find the least common multiple of the two denominators of the fractions:
Multiples of 4: {4,8,12,16,20}
Multiples of 5: {5,10,15,20}
The least common multiple of 4 and 5 is 20.
Multiply the fractions by a number that will result in the denominator being 20:


The equation should now look like this:

Subtract both sides by 8/20 to get w by itself:


The value of w is 7/20.