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Margaret [11]
3 years ago
13

Help answer and EXPLAIN STEP BY STEP

Mathematics
1 answer:
pychu [463]3 years ago
7 0

15. (-k^{3} -5k^{2} + 1) - (6k^{3}-k^{2} -2)

Step 1: Distribute the subtraction sign to all the numbers in the second set of parentheses...

(-k^{3} -5k^{2} + 1) - (6k^{3}-k^{2} -2)

-k^{3} -5k^{2} +1 - 6k^{3} +k^{2} +2

Step 2: Combine like terms (k^{2}'s go with k^{2}'s)

-k^{3} -5k^{2} + 1 - 6k^{3}+k^{2} +2

-5k^{2} +k^{2}

-4k^{2}

-k^{3} -4k^{2} + 1 - 6k^{3}+2

Step 3: Combine like terms (k^{3}'s go with k^{3}'s)

-k^{3} -4k^{2} + 1 - 6k^{3}+2

-k^{3} + (- 6k^{3})

-7k^{3}

-7k^{3} -4k^{2} + 1 +2

Step 4: Combine like terms (normal numbers go with normal numbers)

-7k^{3} -4k^{2} + 1 +2

1 + 2

3

-7k^{3} -4k^{2} + 3

You were correct!

16. 49m^2 - 84mn + 36n^2

I don't really know how to explain this one but I got: (7m-6n)(7m-6n)

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I think its A. Recession
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5 1/3-3 2/4 find the difference
Vinil7 [7]

Answer:

1 10/12

Step-by-step explanation:

Take the fractions and get them to the same bottom number, 12.  So it would be 5 4/12 -  3 6/12.

Take 1 away from 5 to get 4 and the one you pulled would be 12/12(also equal to 1).  4  16/12 - 3  6/12 would be 1  10/12

8 0
3 years ago
Find the midpoint of the line segment with the given endpoints.<br> (-4,-2) (3, 3)
sergiy2304 [10]

Answer : - 4 + 3 = - 1

- 2 + 3 = 1

By half gives - 1/2 and 1/2

So midpoint (-1/2, 1/2)

6 0
2 years ago
Dishwashers are on sale for 25% off the original price (d), which can be expressed with the function p(d) = 0.75d. Local taxes a
shutvik [7]

We are given the functions:

<span>P (d) = 0.75 d                                      ---> 1</span>

<span>C (P) = 1.14 P                                      ---> 2</span>

The problem asks us to find for the final price after discount and taxes applied; therefore we have to find the composite function of the two given functions 1 and 2. To solve for composite function of the final price of the dishwasher with the discount and taxes applied, all we have to do is to plug in the value of P (d) with variable d into the equation of C (P). That is:

C (P) = 1.14 (0.75 d)

C (P) = 0.855 d

or

<span>C [P (d)] = 0.855 d</span>

8 0
3 years ago
The radioactive element​ carbon-14 has a​ half-life of 5750 years. A scientist determined that the bones from a mastodon had los
Gnesinka [82]

The bones at the time they were​ discovered when the radioactive element​ carbon-14 has a​ half-life of total 5750 years are 10062.5-year-old.

<h3>What is half-lives?</h3>

Half lives is the time interval which is need to decay the atomic nuclei of a radioactive sample.

There is a scientist who determined that the bones from a mastodon had lost 70.3​% of their​ carbon-14.  Thus, the fraction remaining is,

f=1-(70.3/100)=1-0.703

f=1-(70.3/100)=0.297

Now the fraction remaining can be given as,

f=(1/2)ⁿ

Here, n is the half life elapsed. Put the value of fraction remaining.

0.297=(1/2)ⁿ

n=1.75

The radioactive element​ carbon-14 has a​ half-life of total 5750 years. Thus,

Years=1.75*5750

Years=10062.5

Thus, the bones at the time they were​ discovered when the radioactive element​ carbon-14 has a​ half-life of total 5750 years are 10062.5-year-old.

Learn more about the half lives here;

brainly.com/question/2320811

#SPJ1

6 0
2 years ago
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