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3 years ago

NEED HELP ASAP i need to simplify (f+g)(x) if f(x) = x+4 and g(x) = 3x^2-8

Mathematics

1 answer:

kogti [31]3 years ago

5 0

We can also think of this problem as f(x) + g(x). Therefore, all we need to do is add the two functions together.

x + 4 + 3x^2 - 8 || Write it out!

3x^2 + x + 4 - 8 || Rearrange in order of decreasing exponents. No need to combine and rearrange all at once!

3x^2 + x - 4 || Combine like terms!

Hope this helps!! :)

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A company manufactures three types of cabinets. It makes 110 cabinets each week. In the first week, the sum of the number of typ

miss Akunina [59]

Answer:

In the first week, the number of type-1 cabinets produced was 15,
the number of type-2 cabinets produced was 30,
the number of type-3 cabinets produced was 65.

Step-by-step explanation:

If we let a, b, c represent the numbers of type-1, type-2, and type-3 cabinets produced in the first week, respectively, we can write three equations in these unknowns:

a + b + c = 110 . . . . . total cabinets for the first week
a + 2b - c = 10 . . . . relationship of quantities in the first week
3a +0b +c = 110 . . . . total cabinets in the second week

It can be convenient to let a machine solver find the solution to this set of equations. Most graphing calculators can handle it, along with several web sites.

Solving by hand, we can subtract the second equation from twice the first. This gives ...

2(a +b +c) -(a +2b -c) - 2(110) -(10)

a +3c = 210 . . . . simplify

Subtracting this from 3 times the third equation gives ...

3(3a +c) -(a +3c) = 3(110) -(210)

8a = 120 . . . . . simplify

a = 15 . . . . . . . divide by 8

Using this in the third equation of the original set, we have ...

3·15 +c = 110

c = 65 . . . . . . subtract 45

Then, in the first equation, we get ...

15 + b + 65 = 110

b = 30 . . . . . . . subtract 80

The solution is (type-1, type-2, type-3) = (15, 30, 65) for the first week.

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4 years ago

Read 2 more answers

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Natalija [7]

6.6+4.5= 11.1 miles

Erica's house is 11.1 miles away from her friend's house.

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3 years ago

25 employees and each employee serve 150 cust per day, estimate how many cuts all employees serve in 30 days?

Makovka662 [10]

Each employee serves 112,500 customers per month. You can find this by multiplying the 3 values (25, 150, and 30). You multiply them to account for each employee with individual customers on different days.

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3 years ago

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21 = -2p - 5 what number does p represent?

svetoff [14.1K]

Answer: P represents -13

Step-by-step explanation:

Since a negative x negative + positive, we know that p has to be a negative.

For me, I added both 21 and -5 (though I made it into a positive), and got 26.

What number times -2 is positive 26?

So, you divide 26/-2, which then becomes -13.

Thus, p=-13 :)

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3 years ago

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grandymaker [24]

Answer:

Step-by-step explanation:

multiply the ratio by 24/5 and you have

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14.4:24

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