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3 years ago

Use a negative factor to factor the expression - 7a+49b - 35

Mathematics

1 answer:

Helen [10]3 years ago

6 0

Answer:

using a negative facto to factor the expression will be:

- 7a+49b - 35 = -7(a-7b+5)

Step-by-step explanation:

Given the expression

- 7a+49b - 35

Rewrite -35 as 5 · 7

Rewrite 49 as 7 · 7

= -7a + 7 · 7b - 5 · 7

as -7 is the common factor, so factoring out

= -7(a-7b+5)

Thus, using a negative facto to factor the expression will be:

- 7a+49b - 35 = -7(a-7b+5)

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What is the mean absolute deviation of the data set?

lana [24]

15 + 16 + 15 + 8 + 6 = 60 divided by 5 = 12
Answer is D

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3 years ago

Which value for x makes the sentence true?<br><br> 2.45 + x = 3.64

Scrat [10]

Answer:

1.19

Step-by-step explanation:

You're trying to figure out what x is here.

So you'll want to isolate the x. That means, get it alone.

Since both sides are equivalent, when you subtract 2.45 from the x side, you also subtract it from the other side too.

x = 3.64 - 2.45

x = 1.19

7 0

3 years ago

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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

PLEASE HELP

antiseptic1488 [7]

Answer:

The principal amount is 5000 dollars = 3, 70,000 rupees (5000 dollars x 74 Rupees)

Rate = 2.5%

Time = 1 year

Now, on putting the values given in the formula

S.I.= 9,250 Rupees

Now we convert it into dollars by diving 9,250 rupees by 74 rupees.

We get,

9250/74 = 125 dollars

Step-by-step explanation:

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3 years ago

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Which is a correct first step for solving this equation?<br> 2 + 7 = 2x + 5 – 4x

Mariulka [41]

Step-by-step explanation:

Bringing like terms on one side

2 + 7 - 5 = 2x - 4x

9 - 5 = - 2x

4 = - 2x

4/ - 2 = x

- 2 = x

4 0

4 years ago