Which number can each term of the equation be multiplied by to eliminate the fractions before solving? -3/4m-1/2=2+1/5mHELP ME

Answers

Answer 1

Answer: -3/4m - 1/2 = 2 + 1/5m...to eliminate the fractions, u must multiply the equation by the common denominator....which in this case is 20.
Resulting in : -15m - 10 = 40 + 4m

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What are the next 2 terms in this sequence? -5,-2,1_,_,?

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The common difference is 3 so add three to 1 and to the answer you get

If 19 more than 2 times a number is 23, what is the number?

Answers

2 is the unknown number.

Let x be the unknown number.

2x + 19 = 23
2x = 23 - 19
2x = 4
2x/2 = 4/2
x = 2

to check:
2(2) + 19 = 23
4 + 19 = 23
23 = 23

The volume of a rectangular box is (x3 - 7x2 - 9x + 63) cubic units. Determine the dimensions of the rectangular box by factoring the volume expression completely.

Answers

Hello,
well done.
As x^3-7x²-9x+63=(x-3)(x+3)(x-7) we must have x>3 and x>-3 and x>7 thus x>7

Explanations:
x^3-7x²-9x+63=x^3-9x+(-7x²+63)=x(x²-9)-7(x²-9)=(x²-9)(x-7)=(x+3)(x-3)(x-7)

Lim -> 0 sin(2x) /(x*cos(x) )

help

Answers

sin (2x) can be written like:sin (2x) = 2sin(x)cos(x)
substituting this expresion in the original one:sin(2x) /(x*cos(x) =2sin(x)cos(x)/x*cos(x)=2sinx/x
taking limits, and noticing that lim as x->0 of sinx/x=1:lim 2sinx/x=2*1=2x->0

You have 1/4 of a tank of gas and 10 dollars in your wallet. Gas is $2.50/gallon and your car holds 13 gallons. Explain how you would find out how many total gallons you will have in your car after you put in $10 worth of gas

Answers

1/4*13=3.25 gallons

2.50*4=10

3.25+4=7.25

The answer is 7.25 gallons

Could you prove this trignometry identity? It's
sin x cot x =cos x

Answers

Cotx can also be written as cosx/sinx. So sinx × cosx/sinx = cosx.

Answer:

sinx ×cosx/sinx

sinx gets cancelled

cosx

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