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Stolb23 [73]
2 years ago
5

Subtract polynomials: (-4x^3+5x^2-x+3)-5(x^4-2x^3+x^2)

Mathematics
1 answer:
denis-greek [22]2 years ago
8 0

9514 1404 393

Answer:

  -5x^4 +6x^3 -x +3

Step-by-step explanation:

First, eliminate parentheses.

  (-4x^3+5x^2-x+3)-5(x^4-2x^3+x^2)

  = -4x^3 +5x^2 -x +3 -5x^4 +10x^3 -5x^2

Then collect terms.

  = -5x^4 +(-4+10)x^3 +(5 -5)x^2 -x +3

  = -5x^4 +6x^3 -x +3

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Make q the subject of the formula 2(q+p) = 1+5q. Give your answer in the form ap-b/c where a,b and c are all positive integers
musickatia [10]

Answer:

\frac{2p-1}{3}

Step-by-step explanation:

Since you want to get q only and q appears in both side of the equation. Try to isolate q to one side.

1) Expand 2(q+p)

2q + 2p = 1 + 5q

2) Move all q terms to one side

5q - 2q = 2p - 1

3q = 2p - 1

3) Divide 3 on both side (to isolate q)

q = \frac{2p-1}{3}

8 0
3 years ago
The cost of a car rental is ​$37 per day plus 20 cents per mile. You are on a daily budget of ​$95. Write and solve an inequalit
juin [17]

Answer:

0.2m+37≤95

Step-by-step explanation:

I don't understand the last part of the question, but I do know the inequality if that helps. in the inequality 0.2m+37≤ 95, m is the variable that represents the miles driven.

5 0
2 years ago
Can anyone help me find the value pls?
Oliga [24]

Answer:

80°

Step-by-step explanation:

x = 80°{being alternate angle}

5 0
3 years ago
What is 865 divided by 40
Nutka1998 [239]
21.625 is your answer to 865/40
5 0
3 years ago
Any one can help with this Venn Diagram question?.Please note that there is an another language, ignore except if you can unders
zloy xaker [14]

Answer:

(i) 30

(ii) 8

Step-by-step explanation:

Start by drawing 3 rings for the Venn diagram.  Each ring represents either Audi, BMW, or Citroën.

Next, add the information provided in the problem statement.  We know that 20 choose BMW only.  Another 20 choose Citroën only.

We know the number who choose all 3 is the same as the number that choose BMW and Citroën, but not Audi.  We'll call this number x.

Similarly, we know that the number who choose all 3 is half of those choose Audi and BMW, but not Citroën.  So we'll say that number is 2x.

We know the total number of Audi votes is 48, the total number of BMW votes is 36, and the total number of Citroën votes is 34.

Finally, we know the total number of voters is 100, including those who voted for no favorites (we'll call that number n).

We know that BMW got 36 votes, so:

20 + x + x + 2x = 36

20 + 4x = 36

4x = 16

x = 4

We know that Citroën got 34 votes, so:

20 + x + x + z = 34

20 + 4 + 4 + z = 34

28 + z = 34

z = 6

We know that Audi got 48 votes:

y + 2x + x + z = 48

y + 2(4) + 4 + 6 = 48

y + 18 = 48

y = 30

Finally, we know that the total number of voters is 100.

20 + 20 + x + x + 2x + y + z + n = 100

20 + 20 + 4 + 4 + 2(4) + 30 + 6 + n = 100

92 + n = 100

n = 8

8 0
3 years ago
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