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ladessa [460]
3 years ago
12

Kira is solving the equation 3(2x + 5) - (5x - 2) = 42. Her steps are shown below.

Mathematics
1 answer:
stich3 [128]3 years ago
6 0

Answer:

D)2

the minus sign outside the bracket when multiplied by a negative number in the bracket is equal to a positive number

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If f(x)=x+7 and g(x)= 1 divided by x-13, what is the domain of (f•g)(x)?
andrew11 [14]
<h2>Hello!</h2>

The answer is:

The domain of the function is all the real numbers except the number 13:

Domain: (-∞,13)∪(13,∞)

<h2>Why?</h2>

This is a composite function problem. To solve it, we need to remember how to composite a function. Composing a function consists of evaluating a function into another function.

Composite function is equal to:

f(g(x))=(f\circ} g)(x)

So, the given functions are:

f(x)=x+7\\\\g(x)=\frac{1}{x-13}

Then, composing the functions, we have:

f(g(x))=\frac{1}{x-13}+7\\

Therefore, we must remember that the domain are all those possible inputs where the function can exists, most of the functions can exists along the real numbers with no rectrictions, however, for this case, there is a restriction that must be applied to the resultant composite function.

If we evaluate "x" equal to 13, the denominator will tend to 0, and create an indetermination since there is no result in the real numbers for a real number divided by 0.

So, the domain of the function is all the real numbers except the number 13:

Domain: (-∞,13)∪(13,∞)

Have a nice day!

5 0
3 years ago
Are the square root of 5/4 and the square root of 3/4 irrational or rational?
natka813 [3]
Well i bevel that you r cool an dcan answer it by your self <span />
5 0
3 years ago
-61=8- 1/3(12w+42)-w W=?
motikmotik
W=11 hope this helps

7 0
3 years ago
Diane needs 165 pieces of candy to hand out to guests at a party she is hosting. Each bag of candy contains 20 pieces. She has 2
Debora [2.8K]
20x + 25 = 165

x represents the number of bags. You can solve the equation to make sure the answer is 7.

20x + 25 = 165

Subtract 25 from both sides.

20x = 140

Divide 20 off of both sides.

x = 7
5 0
3 years ago
A couple ordered 3 appetizers and desserts, what is the probability that they might set pastries, and the Shrimp Scampi?​
Solnce55 [7]
1/6 due to 3 appitiezers and 3 desserts 1/6
3 0
3 years ago
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