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Mila [183]
4 years ago
6

Solve by Describing your steps -3x + 12x =36

Mathematics
1 answer:
gladu [14]4 years ago
4 0

Answer:

x=4

Step-by-step explanation:

-3x + 12x =36

Combine like terms

(-3+12)x = 36

9x = 36

Divide each side by 9

9x/9 = 36/9

x = 4

You might be interested in
5+7 what strategy did you use doubles near doubles make 10 or my way think 5 and 7 are two apart
rusak2 [61]

Answer:

double plus two , two apart facts make ten extended strategy is used.

Step-by-step explanation:

Sum of  5 + 7 = 12  less two = 12; OR to make 10, I need to take 3 from the 5, add it to the 7 to make 10 and that leaves 2 from the 5. I add the 2 to the 10 I now have and that = 12.

8 0
3 years ago
Tiffany is filling her daugther's pool with water from a hose. She can fill the pool at a rate of 1/10 gallons/second. Create at
photoshop1234 [79]

Answer:

(2/20 gallons/sec) ( 3/30 gallons/sec) (4/40 gallons/sec)

Step-by-step explanation:

6 0
3 years ago
F(x)=6x-18 sub in f(x/3), f(x)/3
arlik [135]

These are two separate problems: in the first we will have to substitute in a new value for x into the original equation and in the second we will manipulate the preexisting equation for f(x).

To begin, we will sub in f(x/3). To do this, we will substitute each variable x in the equation (in this case there is only one) with x/3, and then simplify the resulting equation.

f(x) = 6x - 18

f(x/3) = 6(x/3) - 18

To simplify, we should distribute the 6 on the right side of the equation.

f(x/3) = 6x/3 - 18

Now, we can divide the first term on the right side to finalize our simplification.

f(x/3) = 2x -18

Secondly, we are asked to find f(x)/3. To do this, we will take our original value for f(x), and then simplify divide that entire function by 3.

f(x) = 6x - 18

f(x)/3 = (6x-18)/3

This means that we must divide each term of the binomial by 3, so we are really computing

f(x)/3 = 6x/3 - 18/3

We can simplify by dividing both of the terms.

f(x)/3 = 2x - 6

Therefore, your answer is that f(x/3) = 2x - 18, but f(x)/3 = 2x - 6. It is important to recognize that these are two similar, yet different, answers.

Hope this helps!


8 0
3 years ago
Factorise 3x^3 - 12xy^2​
igomit [66]

Answer:

we can conclude that:

3x^3\:-\:12xy^2=3x\left(x+2y\right)\left(x-2y\right)

Step-by-step explanation:

Given the expression

3x^3-12xy^2

Let us factorize the expression

3x^3-12xy^2

Apply the exponent rule: a^{b+c}=a^ba^c

3x^3\:-\:12xy^2=3xx^2-12xy^2

Rewrite 12 as 4 · 3

                     =3xx^2-4\cdot \:3xy^2

Factor out the common term 3x

                     =3x\left(x^2-4y^2\right)

\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}x^2-y^2=\left(x+y\right)\left(x-y\right)

                      =3x\left(x+2y\right)\left(x-2y\right)

Therefore, we can conclude that:

3x^3\:-\:12xy^2=3x\left(x+2y\right)\left(x-2y\right)

8 0
3 years ago
(4x-y) to the 3rd power -(4-xy-2) for x=-2 and y=3​
Scilla [17]

First of all, we can simplify the expression:

(4x-y)^3-(2-xy) = (4x-y)^3+xy-2

Substitute x=-2 and y=3 to get

(4x-y)^3+xy-2 \longrightarrow (4(-2)-3)^3+3(-2)-2\\= (-8-3)^3-6-2\\= (-11)^3-8\\=-1331-8\\=-1339

6 0
4 years ago
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