The solution is actually pretty simple. All you have to do is plug the numbers in corresponding the letters like a with a b with b and calculate
7). 6(6)+(5)^2-(3)^2=52
And you do the same thing with 8) you get 180
First, solve 10x + y = -20 for y: y = -20 - 10x
Next, substitute -20 -10x for y in the second equation:
-20 - 10x = 2x^2 - 4x - 16.
Rearranging, 2x^2 + 6x + 4 = 0
Simplifying, x^2 + 3x + 2 = 0
The roots of this poly eqn are -1 and -2. Therefore, x = -1 and x = -2.
One by one, subst. these x-values into y = -20 - 10x to find the corresponding y-values.
Your answers should look like this: (-1, y) and (-2, y) (different values for y).
Answer:
7th week
Step-by-step explanation:
Let us represent the number of weeks as x
Jill begins the summer with $500 in her savings account. Each week, she withdraws $20.
$500 - $20× x
500 - 20x
Her brother, Sam,starts the summer with $150 in his account. He adds $30 to his account each week.
$150 + $30 × x
150 + 30x
At what week will both Jill and Sam have the same amount in their account?
We solve this be Equating both Equations together
Jill = Sam
500 - 20x = 150 + 30x
Collect like terms
500 - 150 = 30x + 20x
350 = 50x
Divide both sides by 50
50x/50 = 350/50
x = 7 weeks
Therefore, at the 7 week, Jill and sam would have the same amount in their accounts
The rational expression that results into x-4/2(x+4) is<em> x²-16/2x+8 * x+4/x²+8x+16</em>
<h3>Multiplying rational expressions</h3>
Rational expressions are written in the form a/b where a and b are integers.
According to the question, we need to determine the expression that is equal to x-4/2(x+4)
From the fourth option;
x²-16/2x+8 * x+4/x²+8x+16
Factorize the quadratic part to have;
x²-16/2x+8 * x²+8x+16/x+4
(x+4)(x-4)/2(x+4) * x+4/(x+4)^2
Cancel out the common expression to have;
x-4 * 1/2(x+4)
x-4/2(x+4)
Hence the rational expression that results into x-4/2(x+4) is<em> x²-16/2x+8 * x+4/x²+8x+16</em>
Learn more rational expression here: brainly.com/question/25292194
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