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Eduardwww [97]
3 years ago
12

This table represents the proportional relationship between the number of boxes and the number of magnetic cubes held by the box

es.
What is the unknown value representing the unit rate?
A. 8
B. 125
C. 140
D. 156

Mathematics
1 answer:
Zinaida [17]3 years ago
3 0
Your answer would be C.
Have a good day!
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Sum of all digits in integers from one and a billion.
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2 years ago
Who had this before if so can I get help
telo118 [61]

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6 0
2 years ago
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
For to 30-60-90 triangle below, the length of side AB is 52 cm.
Jlenok [28]

Answer:

Using 60°

Let side CB be x

Cos60= x/52

Cross multiply=

x= 52cos60

x= 26 <u>cm</u>

7 0
3 years ago
Describe each Locus
eduard

Explanation:

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2. The set of points 6 in from the nearest point on a line will be a cylindrical shell 12 inches in diameter centered on the line.

If AB is a line segment, then the shell will have hollow hemispherical ends of radius 6 inches about the end points.

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