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elena-s [515]
3 years ago
11

2 laundry company one time fee

Mathematics
1 answer:
suter [353]3 years ago
7 0

Answer:

Step-by-step explanation:

I am sorry but what is this suppose to be asking

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Use the given pair of functions to find and simplify expressions for the following functions and state the domain of each using
Tamiku [17]

Answer:

Given functions,

f(x) = 3 - x^2

g(x) = \sqrt{x}+1

Since, by the compositions of functions,

1. (g◦f)(x) = g(f(x))

=g(3-x^2)

=\sqrt{3-x^2}+1

Since, (g◦f) is defined,

If 3 - x² ≥ 0

⇒ 3 ≥ x²

⇒ -√3 ≤ x ≤ √3

Thus, Domain = [-√3, √3]

2. (f◦g)(x) = f(g(x))

=f(\sqrt{x}+1)

=3-(\sqrt{x}+1)^2

Since, (g◦f) is defined,

If  x ≥ 0

Thus, Domain = [0, ∞)

3. (f◦f)(x) = f(f(x))

=f(3-x^2)

=3-(3-x^2)^2

=3-9-x^4+6x^2

=-6+6x^2-x^4

Since, (f◦f) is a polynomial,

We know that,

A polynomial is defined for all real value of x,

Thus, Domain = (-∞, ∞)

8 0
3 years ago
Factor completely. 10x^7-10xy^10
denis23 [38]
Find common factor, in this case the common factor is 10x
So the answer would be 10x(x^6 - y^10)


4 0
3 years ago
A dilation has center (0, 0). Find the image of each point for the given scale factor.
pshichka [43]

Answer:

A. (−3,5)

Step-by-step explanation:

The rule for dilation by scale factor k is given by:

(x,y)\to (kx,ky)

The given point is P(-3,5) and the scale factor is k=1

We substitute the point and the scale factor into the rule to get:

P(-3,5)\to P'(-3\times1,5\times1)

This gives us:

P(-3,5)\to P'(-3,5)

The correct answer is A

3 0
3 years ago
In the lab, Leila has two solutions that contain alcohol and is mixing them with each other. Solution A is alcohol and Solution
torisob [31]

Answer:

300ml

Step-by-step explanation:

As values are missing in your question, the complete question is:

In the lab, Leila has two solutions that contain alcohol and is mixing them with each other. Solution A is 6% alcohol and Solution B is 20% alcohol. She uses 400 milliliters of Solution A. How many milliliters of Solution B does she use, if the resulting mixture is a 12% alcohol solution?

Considering  x=ml of 20% solution B

Therefore, 400+x=ml of resulting 12% solution

Solution A alcohol+ solution B alcohol= Alcohol solution

6% (400)+ 20%x = 12%(400+x)    ->(converting percentage into decimal)

.06*400+.2x=.12(400+x)

24+.2x=48+.12x

.08x=24

x=24/.08=300 ml

she used 300 milliliters of 20%Solution B in resulting mixture.

4 0
3 years ago
is 20% in a decimal 0.20 in fraction 20/50 54% is a 40 0.4 fraction 4/10 decimal percent 9% decimal 0.9 fraction 9/10 66% 0.66 6
Gre4nikov [31]
20% is .20/ 20/50 is 40% or .4 or 4/10/ 9% is .09 or 9/100 / 9/10 is 90% or .9/ 66% is .66 or 33/50 or 66/100/ 6/10 is 60% or 60/100 or .6/ 2% is .02 or 1/50 or 2/100. I didn't exactly understand the question, but I hope this answers your question.
7 0
3 years ago
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