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Pepsi [2]
2 years ago
5

Find the difference of the following polynomials: (-2r4 + 3r3 - 10) and (4r4 - p3 + 2r2 + 7).

Mathematics
1 answer:
Vilka [71]2 years ago
4 0

-6 r^{4}+4 r^{3}-2 r^{2}-17 is the difference between -2 r^{4}+3 r^{3}-20 \text { and } 4 r^{4}-p^{3}+2 r^{2}+7

Step-by-step explanation:

Given equations,

-2 r^{4}+3 r^{3}-20 \text { and } 4 r^{4}-p^{3}+2 r^{2}+7

Difference of the polynomial is written as

=-2 r^{4}+3 r^{3}-20-\left(4 r^{4}-p^{3}+2 r^{2}+7\right)

Open the brackets and multiply with -1 the whole expression \left(4 r^{4}-p^{3}+2 r^{2}+7\right) becomes

=-2 r^{4}+3 r^{3}-20-4 r^{4}+p^{3}-2 r^{2}-7

=-6 r^{4}+4 r^{3}-2 r^{2}-17

This is the difference of given two polynomials is -6 r^{4}+4 r^{3}-2 r^{2}-17.

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Janet can plant nine feet of carrots in 15 minutes while her daughter Amy can plant 17 feet of carrots in half an hour.
Lena [83]

Answer:

Step-by-step explanation:

In order to find who is more efficient at planting carrots, we want to put both ratios in terms of the same amount of time.

For simplicity, lets see how many carrots each can make in 1 hour.

Janet:\\9ft \: in \: 15 \:minutes

\frac{9ft}{15min} = \frac{xft}{60min}\\x = \frac{60*9}{15} = 36

Janet can plant 36 feet of carrots in one hour

Amy:\\\frac{17ft}{30min} = \frac{xft}{60min}\\x = \frac{17*60}{30} = 34

Amy can plant 34 feet of carrots in one hour

So, Janet can plant carrots more quickly

6 0
2 years ago
Marco has a bag of 50 colored marbles.there are 12 blue marbles,18 black marbles,and 20 red marbles.what is the ratio of the num
iren2701 [21]

The answer is 2:3 because it is 12:18 simplified.

8 0
2 years ago
What is the mapping notation that will transform triangle ABC to triangle A'B'C'?
MissTica

Answer:

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6 0
2 years ago
Let sets A and B be defined as follows.
VashaNatasha [74]
<h3>Given</h3>

  • Set A: A = {-26, -25, -24, -23, - 22, - 21}
  • Set B: B ∈ {x: x is even, x ≥ 6 and x ≤ 20}

<h3>(a) </h3>

<em />

<em>Cardinality means the number of elements in the set.</em>

Cardinality of the set A:

n(A) = 6, since we can count 6 elements.

Set B has even numbers between 6 and 20, both included:

  • B = {6, 8, 10, 12, 14, 16, 18, 20}

Then its cardinality is:

  • n(B) = 8

<h3>(b) </h3>

To solve this we need to compare the elements of sets A or B with numbers given:

  • -22 ∈ A, True       ⇒  -22 is listed as element of A
  • 6 ∈ B, True          ⇒  6 is listed as element of B
  • - 21 ∉ A, False     ⇒  - 21 is listed as element of A
  • 2 ∈ B, False         ⇒  2 is not listed as element of B
5 0
2 years ago
Help me pls and be serious or I’ll hurt u
GREYUIT [131]

Answer:

-9

Step-by-step explanation:

Khan Academy huh? Well, the answer's -9.

-7 = -9 + 2

Hope that helps!

5 0
3 years ago
Read 2 more answers
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