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andrey2020 [161]
3 years ago
10

What is the solution to this equation ? x + 12 +3x =18 - 2x

Mathematics
2 answers:
s344n2d4d5 [400]3 years ago
6 0

x+12+3x=18-2x

12+4x=18-2x

-12 +2x -12 +2x

_______________

6x=6

__  __

 6    6

x=1

olasank [31]3 years ago
3 0

First, you combine like terms: x+3x=4x: 12+4x=18-2x

Second, you add the 2x to each side (inverse operation): 12+6x=18

Third, you subtract 12 from 18 to cancel out the 12 (inverse operation): 6x=6

Fourth, you divide each side by 6 to find the value of x

The answer is x=1

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What is the least common multiple of 12 and 10
gtnhenbr [62]

12 = 2*2*3

10 = 5*2

LCM = 5*3*2*2

      = 15*4=60

the least common multiple is 60


4 0
4 years ago
Suppose the coefficient matrix of a linear system of four equations in four variables has a pivot in each column. Explain why th
Veseljchak [2.6K]

If the coefficient matrix has a pivot in each column, it means that it is shaped like this:

A=\left[\begin{array}{cccc}a_{1,1}&a_{1,2}&a_{1,3}&a_{1,4}\\0&a_{2,2}&a_{2,3}&a_{2,4}\\0&0&a_{3,3}&a_{3,4}\\0&0&0&a_{4,4}\end{array}\right]

So, the correspondant system

Ax = b

will look like this:

\left[\begin{array}{cccc}a_{1,1}&a_{1,2}&a_{1,3}&a_{1,4}\\0&a_{2,2}&a_{2,3}&a_{2,4}\\0&0&a_{3,3}&a_{3,4}\\0&0&0&a_{4,4}\end{array}\right]\cdot \left[\begin{array}{c}x_1\\x_2\\x_3\\x_4\end{array}\right] = \left[\begin{array}{c}b_1\\b_2\\b_3\\b_4\end{array}\right]

This turn into the following system of equations:

\begin{cases}a_{1,1}x_1+a_{1,2}x_2+a_{1,3}x_3+a_{1,4}x_4=b_1\\a_{2,2}x_2+a_{2,3}x_3+a_{2,4}x_4=b_2\\a_{3,3}x_3+a_{3,4}x_4=b_3\\a_{4,4}x_4=b_4\end{cases}

The last equation is solvable for x_4: we easily have

x_4=\dfrac{b_4}{a_{4,4}}

Once the value for x_4 is known, we can solve the third equation for x_3:

x_3 = \dfrac{b_3-a_{3,4}x_4}{a_{3,3}}

(recall that x_4 is now known)

The pattern should be clear: you can use the last equation to solve for x_4. Once it is known, the third equation involves the only variable x_3. Once

4 0
4 years ago
HELP PLEASE ASAP!!!
Bas_tet [7]
A. It's a composite function, so basically, wherever you see a p, replace it with 5t, because we are given that information. So, your answer is:
A[p(t)] = 5t \pi 2=10t \pi

B. Let's use the function we created, and just plug in 2 for t:
A[p(2)]  = 10(2) \pi
A[p(2)] = 62.83

So, your answer is (approximately) 62.83 units².
3 0
3 years ago
Read 2 more answers
What is the equation for the line?
KonstantinChe [14]

Answer:

y=4x

Step-by-step explanation:

The line goes through the points (0, 0) and (2, 8).

You can plug these in to the slope formula, and the slope is 4

Since the line intersects the y-axis at 0, the y-intersect is 0.

Using these two pieces of information, you now know that the equation is

y=4x+0, or y=4x.

Hope this helps!

8 0
3 years ago
Read 2 more answers
PLEASE HELP ME DO THIS
gladu [14]

Answer:

Perimeter = 8x

Step-by-step explanation:

If I can see correctly, the area of the squares are x². Area is just s², so we can find one side by finding the square root of x², which is x. Now that we know that x is one side, we can count the amount of sides and multiply that number by x.

There are 8 sides, so the answer is P = 8x

8 0
3 years ago
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