X=12
First you would combine like terms 7+3=10
Then you would have 10 +5x =70
Subtract 10 from both sides 10-10 & 70-10
That will leave you with 5x=60
Divide 5 from both sides 5x/5 & 60/5
Answer will be x = 12
The partial fraction expansion takes the form
-6<em>x</em>/((<em>x</em> + 2) (<em>x</em> + 8)) = <em>a</em>/(<em>x</em> + 2) + <em>b</em>/(<em>x</em> + 8)
Both factors in the denominator are linear, so the numerators in the corresponding partial fractions have degree 1 - 1 = 0 and are thus constants.
Combine the fractions on the right side into one with a common denominator, then set the numerators on both sides of the equation equal to each other:
-6<em>x</em> = <em>a</em> (<em>x</em> + 8) + <em>b</em> (<em>x</em> + 2)
Expand the right side and collect terms by powers of <em>x</em> :
-6<em>x</em> = (<em>a</em> + <em>b</em>) <em>x</em> + (8<em>a</em> + 2<em>b</em>)
It follows that
<em>a</em> + <em>b</em> = -6 and 8<em>a</em> + 2<em>b</em> = 0
==> <em>a</em> = -2 and <em>b</em> = 8
So we end up with
-6<em>x</em>/((<em>x</em> + 2) (<em>x</em> + 8)) = -2/(<em>x</em> + 2) + 8/(<em>x</em> + 8)
The correct answer would be D -13
It’s 2 and easy thank you have nice hope u have fun
(C) 7/10 cup is the correct answer
Step-by-step explanation:
First of all we will calculate the 40% of grandmother's recipe then add it to the given flour in grandma's recipe
So,
The amount of flour in grandma's recipe = F_g = 1/2 cups
Calculating percentage
So Evelyn needs to add 2/10 cups more to the original quantity.
So,
Flour used by Evelyn:
Hence,
(C) 7/10 cup is the correct answer
Keywords: Percentage, Quantity
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