What value of x makes the equation below true 5(x − 8) + 26 = −9? A 1 B -1 C 15 D -15
1 answer:
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multiply both sides by the reciprocal
x = 85⅓
We would expect her to make about 85 business calls in a month.
Step-by-step explanation:
The equation means "3/8 of the unknown total is 32"
When we multiply 3/8 by its reciprocal, it becomes 1 and cancels on the left.
8/3 times 32 is a mixed number, so it is reasonable to round it to a whole number of calls.
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I hope I read this question correctly. The coding for the fraction made it a bit confusing.
Answer:
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Explanation:
We cannot have negative numbers under the square root, if we wanted the result to be some real number.
The stuff under the square root must be 0 or larger.
This means the x+2 must be 0 or larger.
Similarly, the 5-x must be 0 or larger. But wait, we cannot have 0 in the denominator (or else we have a division by zero error), so 5-x must be larger than 0.
5-x > 0
5-x+x > 0+x
5+0 > 0+x
5 > x
x < 5
Combine both and
to find the domain is
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Visual confirmation is shown below. I used Desmos which is a free graphing app.
- f(x) = sqrt(x+2) is in red
- g(x) = sqrt(5-x) is in blue
- h(x) = f(x)/g(x) is in green
The green curve is what we're after. It's between x = -2 and x = 5
We include -2, but exclude 5.
Take note of the closed endpoint at x = -2, and also the vertical asymptote at x = 5. The curve approaches this asymptote but never actually touches it. Think of an electric fence you can get closer to, but not actually touch.
