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mars1129 [50]
3 years ago
5

Functions f(x) and g(x) are defined below. Determine where f(x) = g(x) by graphing.

Mathematics
1 answer:
Reika [66]3 years ago
8 0

Answer:

Option D. x = 4

Step-by-step explanation:

we have

f(x)=\frac{1}{x-3}+1

g(x)=2\sqrt{x-3}

we know that

The solution of the system

f(x)=g(x)

is the x-coordinate of the intersection point both graphs

using a graphing tool

The intersection point is (4,2)

see the attached figure

therefore

The solution is x=4

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Henry has 15 lawns mowed out of a total of 60 lawns. What percent of the lawns does Henry still have to mow?
Ksju [112]

Answer: He still has to mow 45 lawns, or 75% of the lawns before he is finished.

3 0
3 years ago
at a charity casino event, a woman begins playing a slot machine with $10 in quarters in her coin bucket. she plays 15 quarters
irina [24]

Answer:

265 quarters ($66.25)

Step-by-step explanation:

10$ in quarters is 250 quarters.

you subtract the 15 from winning (=235), then add 50 for the jackpot (=285). Subtract another 20 for her final plays (=265).

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2 years ago
Brian has reduced his cholesterol level by 8% after his last check up. If his original level was 200, what is his cholesterol le
s2008m [1.1K]

Answer:

B. 184

Step-by-step explanation:

A proportion is an easy way to solve this:

\frac{100\%}{200}  =  \frac{92\%}{x}  \\ 100x = 92(200) \\ x = 92(2) \\ x = 184

6 0
3 years ago
The 200 meter race times at a state track meet are normally distributed with a mean of 13.56 seconds and a standard deviation of
BaLLatris [955]

Answer:

A. 0.4880

Step-by-step explanation:

First, find the z-score:

z = (x − μ) / σ

z = (13.5 − 13.56) / 2.24

z = -0.03

Using a z-score table:

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8 0
3 years ago
Read 2 more answers
(5p-9)(5p-9) find each square
Iteru [2.4K]

Answer:

The square would be 25p^2 - 90p + 81

Step-by-step explanation:

To get this, use the FOIL method. In this, we multiply the first, outer, inner and last pairings.

First - Multiply the first number in each parenthesis.

5p * 5p = 25p^2

Outer - Multiply the outside numbers in each parenthesis.

5p * -9 = -45p

Inner - Multiply the inner numbers in each parenthesis.

-9 * 5p = -45p

Last = Multiply the last numbers in each parenthesis

-9 * -9 = 81

Now take all of those numbers and add together. Then simplify.

25p^2 - 45p - 45p + 81

25p^2 - 90p + 81

6 0
3 years ago
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