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3 years ago

Simplify (6+5x)+(7x+3)

Mathematics

1 answer:

emmasim [6.3K]3 years ago

8 0

Answer: 12x + 9

Step-by-step explanation:

Given

(6 + 5x) + (7x + 3)

Put like terms together

=5x + 7x + 6 + 3

Combine like terms

= $\boxed {12x+9}$

Hope this helps!! :)

Please let me know if you have any questions

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How do you factor 125-x^3?

xz_007 [3.2K]

Step-by-step explanation:

We have

$125 - x {}^{3}$

First, 125 is a perfect cube because

$5 \times 5 \times 5 = 125$

and

x^3 is a perfect cube because

$x \times x \times x = x {}^{3}$

so we can use the difference of cubes identity

$( {x}^{3} - {y}^{3} ) = (x - y)( {x}^{2} + xy + {y}^{2} )$

Let say we have two perfect cubes:

64 because 8×8×8=64

and 27 because 3×3×3=27 and let subtract

$64 - 27$

we know that

$64 - 27 = 37$

but using the difference of cubes identity we should get the same thing.

Remeber cube root of 64 is 4 and cube root of 27 is 3 so we have

$(4 - 3)( {4}^{2} + 4(3) + 3 {}^{2} )$

$1(16 + 12 + 9) = 1(37) = 37$

So the difference of cubes works for real numbers. This is a good way to help remeber the identity using real numbers.

Back on to the topic,

we know that 5 is cube root of 125 and x is the cube root of x^3 so we have

$(5 - x)( {5}^{2} + 5x + {x}^{2} ) =$

$(5 - x)(25 + 5x + {x}^{2} )$

3 0

2 years ago

Read 2 more answers

2+3!! Help!! Due in an hour!!

Zanzabum

Answer:

Step-by-step explanation:

I think

6 0

3 years ago

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Fatoring Trinomials x^2+2x=-1

Musya8 [376]

Answer:

$\Huge \boxed{x=-1}$

Step-by-step explanation:

$x^2+2x=-1$

Adding 1 to both sides of the equation.

$x^2+2x+1=-1+1$

$x^2 +2x+1=0$

Factoring the left side of the equation.

$x^2 +1x+1x+1=0$

$x(x+1)+1(x+1)=0$

$(x+1)(x+1) = 0$

$(x+1)^2 =0$

Taking the square root of both sides of the equation.

$\sqrt{(x+1)^2} =\sqrt{0}$

$x+1=0$

Subtracting 1 from both sides of the equation.

$x+1-1=0-1$

$x=-1$

8 0

2 years ago

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(39-3)÷44−7² any help would be Appreciated

goldfiish [28.3K]

Answer:

-48.1818

Step-by-step explanation: then u round up to 3 singnificant figures

5 0

3 years ago

The function C=120+.20m represents the cost see in dollars of renting a car after driving miles how many miles would a customer

faust18 [17]

Customer have to drive 100 miles for cost to be equal to $140

Solution:

Given function is as follows

C = 120 + 0.20m

Where "C" represents cost in dollar of renting a car and "m" represents number of miles.

If we see the given equation, we can say that fixed cost is 120 and variable cost is 0.20m which is dependent on number of miles car is driven.

We need to calculate number of miles so that total cost that is C = $140

On substituting C = $140 in given function, we get

140 = 120 + 0.20m

On Solving above equation for m we get

140 – 120 = 0.20m

=> 20 = 0.20m

=> $m = \frac{20}{0.20} = 100 miles$

Hence customer have to drive 100 miles for cost to be equal to $140.

4 0

3 years ago