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aev [14]
3 years ago
10

Help I need the answer as soon as possible

Mathematics
1 answer:
pav-90 [236]3 years ago
3 0

Answer:

D.

Step-by-step explanation:

First, you multiply 18 1/4 with 10 1/2 and you get 191 5/8. Then you multiply 191 5/8 with 12 3/4 and you get D. 2443 7/32

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Given that the expression 2x^3 + mx^2 + nx + c leaves the same remainder when divided by x -2 or by x+1 I prove that m+n =-6
Alla [95]

Given:

The expression is:

2x^3+mx^2+nx+c

It leaves the same remainder when divided by x -2 or by x+1.

To prove:

m+n=-6

Solution:

Remainder theorem: If a polynomial P(x) is divided by (x-c), thent he remainder is P(c).

Let the given polynomial is:

P(x)=2x^3+mx^2+nx+c

It leaves the same remainder when divided by x -2 or by x+1. By using remainder theorem, we can say that

P(2)=P(-1)              ...(i)

Substituting x=-1 in the given polynomial.

P(-1)=2(-1)^3+m(-1)^2+n(-1)+c

P(-1)=-2+m-n+c

Substituting x=2 in the given polynomial.

P(2)=2(2)^3+m(2)^2+n(2)+c

P(2)=2(8)+m(4)+2n+c

P(2)=16+4m+2n+c

Now, substitute the values of P(2) and P(-1) in (i), we get

16+4m+2n+c=-2+m-n+c

16+4m+2n+c+2-m+n-c=0

18+3m+3n=0

3m+3n=-18

Divide both sides by 3.

\dfrac{3m+3n}{3}=\dfrac{-18}{3}

m+n=-6

Hence proved.

7 0
3 years ago
HURRY PLEASE <br><br> What is the solution of the system 4x+3y=6 2x+2y=5
jolli1 [7]
The first given equation is:
4x + 3y = 6
which can be rewritten as:
2(2x) + 3y = 6 .............> equation I

The second given equation is:
2x + 2y = 5
which can be rewritten as:
2x = 5 - 2y ........> equation II

Substitute with equation II in equation I to get the value of y as follows:
2(5-2y) + 3y = 6
10 - 4y + 3y = 6
-y = 6-10 = -4
y = 4

Substitute with the y in equation II to get x as follows:
2x = 5 - 2y
2x = 5 - 2(4)
2x = 5 - 8 = -3
x = -3/2

From the above calculations:
x = -3/2
y = 4
7 0
3 years ago
Read 2 more answers
In the equation y = -2x, if x is doubled, what happens to y? stays the same doubles quadruples unknown, since a value for x is n
OLEGan [10]
In an equation like that, y would double into 2y. But just keep in mind that what happens to one side must happen to another.
3 0
3 years ago
Help please! I need an explanation.
Yakvenalex [24]

Answer:

A

Step-by-step explanation:

5 0
3 years ago
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Count by fives from 135 to 175 write these numbers and describe the pattern
Maru [420]
135 140 140 150 155 160 165 170 175
in this pattern you are adding 5 multiple times
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3 years ago
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