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34kurt
3 years ago
5

If f(x)=2x+3 and g(x)=x^2, then g[f(-3)]=?

Mathematics
1 answer:
Wittaler [7]3 years ago
8 0
If f(x)=2x+3 and g(x)=x^2 then

f(g(x))=2x^2+3 then:

f(g(-3))=2(-3)^2+3

f(g(-3))=2*9+3

f(g(-3))=18+3

f(g(-3))=21
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HEEEEEEEEEEEELP <br> HEEEEEEELP
Bingel [31]

Answer:

x < 2

Step-by-step explanation:

We're going to solve this just like we would an equation, but with just one little twist. First, let's add 1/3 to both sides.

5/6x - 1/3 > 1 1/3

5/6x > 1 2/3

First, let's turn 1 2/3 into an improper fraction to make it easier to work with. Multiply the big number by the denominator, then add the numerator.

1 x 3 + 2 = 5

1 2/3 = 5/3

Now, multiply 5/3 by 2/2 to get 6 as the denominator. This works because 2/2 simplifies to 1 and therefore does not change the value of the fraction.

5 x 2 = 10

3 x 2 = 6

5/3 = 10/6

Now divide both sides by 5/6. Because they both have the same denominator, we can cancel the denominator out and just divide 5x/5 and 10/5.

5/6x > 10/6

5x > 10

x > 2

Wait! We don't have the correct answer just yet. Whenever you divide an inequality, you have to flip the inequality sign.

x < 2

Now <em>there's</em> our final answer.

4 0
3 years ago
What is 87.252 dividend by 2.2 I am not sure how to do the work
WARRIOR [948]

Answer:

39.66

Step-by-step explanation:

If the divisor is not a whole number, move decimal point to right to make it a whole number and move decimal point in dividend the same number of places.

Divide like you usually do

Put decimal point directly above decimal point in the dividend.

Check your answer.


7 0
3 years ago
Read 2 more answers
F(x) varies inversely with x and f(x) = –10 when x = 5. What is the inverse variation equation?
Andreyy89
<span>f(x) = –10
f(5)=-10
f=</span>-10 divided by 5
f=-2
3 0
3 years ago
13.) An electrician has a piece of wire that is 3 feet long (36 inches). She needs a piece that is exactly 31.05 inches to fit p
iren [92.7K]

Answer:  4.95 inches

Subtract:  36 - 31.05 = 4.95

Step-by-step explanation:

<em>Whoever created this question hasn't done much real electrical work! </em>

<em>An outlet (also known as a receptacle) usually requires about 4 to 6 inches of wire within the </em><u><em>junction box</em></u><em> to make the connections, depending on what else may be connected in the box. We don't have to measure to 0.05 of an inch. The insulation may have to be stripped precisely to 3/8, 1/2 or 5/8 inch for connections.  </em>

The electrician used 3 feet of cable between junction boxes, and had 8 ¹/₂ inches pulled through the junction box. She needed 4 inches to connect the receptacle. How much the excess did she have to cut off?

Math questions should be realistic.

3 0
3 years ago
You want to purchase a new car in 5 years and you anticipate the cost of the car to be $55,000. You are given an investment plan
Usimov [2.4K]
Wow - that is an unusual calculation.  You'll need a formula for the monthly payment of a monthly annuity, and it is located here:
http://www.1728.org/annuity3.htm  (see formula 2)
You'll find THAT page and THIS page very helpful:
http://www.1728.org/annuitym.htm


rate = rate / 1,200
rate = <span> <span> <span> 0.005166666667 </span> </span> </span>
n= number of months = 5 * 12 = 60

monthly amount = [Total] / ([(1 + rate)^(n+1) -1] / [rate]) -1

monthly amount =
55,000 / [[( 1<span>.005166666667)^</span>(61)-1] /  1<span>.005166666667] -1
</span>
monthly amount = 55,000 / [[<span><span>1.3693761617</span> -1</span>] / .005166666667]-1
monthly amount = 55,000 / [[.3693761617] / .005166666667]-1
monthly amount = 55,000 / ((<span> <span> <span> 71.4921603244)-1)
</span></span></span>monthly amount = 55,000 / (<span> <span> 70.4921603244)</span></span>
<span><span><span>monthly amount = 780.2286062293 </span> </span> </span>
OR 780.23 (rounded)

Yes, it's just that "simple". LOL


5 0
4 years ago
Read 2 more answers
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