Answer: (-4 ,4)
Step-by-step explanation:
Answer:
first evening, 10 calls, second evening 80 calls, third evening, 20 calls.
Step-by-step explanation:
if the number of calls received during the first evening is X, then the number of calls received during the third evening is X+10 as the third evening received 10 more calls than first evening. The second evening received 4 times of third so 4X+10. Add them up together and put them equal to 110.
X+10+X+4X+40=110
6X+50=110
6X=110-50
6X=60
X=10
First evening, 10 calls,
second evening 80 calls; 4X+40, 4(10)+40=80
third evening 20 calls; X+10, (10)+10=20
Janine’s error is that she incorrectly counted the spaces that point C has shifted. Focusing on point C like Janine did, to get to point C’ you would need to shift 3 units to the left and 5 units down. This would make the new translation rule (x-3, y-5) to get from triangle ABC to triangle A’B’C’.
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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