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ratelena [41]
3 years ago
9

Take a look at the figure. What are the coordinates of the point labeled B in the graph shown?

Mathematics
2 answers:
Sliva [168]3 years ago
8 0
The answer is d. This is an easy question.
elixir [45]3 years ago
7 0
The answer to this is D. (-2, -3).
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I’m Really lost if I could get a answer it would be greatly appreciated
Nataly [62]
<h3>Answers:</h3>

f(g(x)) = \sqrt{x^2+5}+5\\\\g(f(x)) = x+30+10\sqrt{x-1}

================================================

Work Shown:

Part 1

f(x) = \sqrt{x-1}+5\\\\f(g(x)) = \sqrt{g(x)-1}+5\\\\f(g(x)) = \sqrt{x^2+6-1}+5\\\\f(g(x)) = \sqrt{x^2+5}+5\\\\

Notice how I replaced every x with g(x) in step 2. Then I plugged in g(x) = x^2+6 and simplified.

------------------

Part 2

g(x) = x^2+6\\\\g(f(x)) = \left(f(x)\right)^2+6\\\\g(f(x)) = \left(\sqrt{x-1}+5\right)^2+6\\\\g(f(x)) = \left(\sqrt{x-1}\right)^2+2*5*\sqrt{x-1}+\left(5\right)^2+6\\\\g(f(x)) = x-1+10\sqrt{x-1}+25+6\\\\g(f(x)) = x+30+10\sqrt{x-1}\\\\

In step 4, I used the rule (a+b)^2 = a^2+2ab+b^2

In this case, a = sqrt(x-1) and b = 5.

You could also use the box method as a visual way to expand out \left(\sqrt{x-1}+5\right)^2

6 0
3 years ago
Together leslie and elena have 5.25 dollars elena has 0.25 more than leslie. how much each have
olya-2409 [2.1K]
Leslie has 2.50
elena has 2.75

5.25-.25 (for the amount that they don’t have equal) =5
5/2 (split equal between two people) =2.50
2.50+.25 (the amount elena has more than leslie) =2.75
5 0
3 years ago
On a recent quiz, the class mean was 70 with a standard deviation of 2.1. Calculate the z-score (to 4 decimal places) for a pers
Igoryamba
The equation to find a z score is (x- mean)/(standard deviation)

So, in this case the equation would be
(76-70)/(2.1)

For,
X=76
Mean=70
Standard Deviation= 2.1

After solving we find that the z score equals 2.85714

or

2.8571

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3 years ago
A crew is painting the stripes for a new parking lot. Each of the lines that show the side of a parking space is parallel to the
sleet_krkn [62]
D
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4 0
2 years ago
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