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2 years ago

What is the first step when solving this equation? 5(4x – 1.5x) + 12 = 4x – 2

Mathematics

2 answers:

EleoNora [17]2 years ago

7 0

Complete the equation in the parenthesis, 4x - 1.5x

IRISSAK [1]2 years ago

5 0

Answer:

First step is "Solve the parenthesis". It means subtract 1.5x from 4x.

Step-by-step explanation:

The given equation is

$5(4x-1.5x)+12=4x-2$

We need to find the first step o solve this equation.

Step 1: Solve the parenthesis.

$5(2.5x)+12=4x-2$

Step 2: Multiply.

$12.5x+12=4x-2$

Step 3: Isolate variable terms on left side.

$12.5x-4x=-12-2$

$8.5x=-14$

Step 4. Divide both sides by 8.5.

$x=\dfrac{-14}{8.5}$

$x\approx -1.647$

Therefore, the firs step is "Solve the parenthesis".

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Why might variable expenses change a great deal at different times of year? Heating and cooling costs might vary considerably. I

Alexeev081 [22]

Answer:

Heating and cooling costs might vary considerably.

7 0

2 years ago

The midpoint of RS¯¯¯¯¯¯¯ is M. Use the given endpoint R(23, 14) and midpoint M(13, 8) to find the coordinates of the other endp

Oksanka [162]

The coordinates of other endpoint S is (3, 2)

<h3><u>Solution:</u></h3>

Given that midpoint of RS is M

Given endpoint R(23, 14) and midpoint M(13, 8)

To find: coordinates of the other endpoint S

<em><u>The formula for midpoint is given as:</u></em>

For a line containing containing two points $(x_1, y_1)$ and $(x_2, y_2)$ midpoint is given as:

$m(x, y)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$

Here in this problem,

m(x, y) = (13, 8)

$(x_1, y_1) = (23, 14)\\\\(x_2, y_2) = ?$

Substituting the given values in above formula, we get

$(13,8)=\left(\frac{23+x_{2}}{2}, \frac{14+y_{2}}{2}\right)$

Comparing both the sides we get,

$\begin{aligned}&13=\frac{23+x_{2}}{2} \text { and } 8=\frac{14+y_{2}}{2}\\\\&26=23+x_{2} \text { and } 16=14+y_{2}\\\\&x_{2}=3 \text { and } y_{2}=2\end{aligned}$

Thus the coordinates of other endpoint S is (3, 2)

8 0

3 years ago

Multiply both sides of the each equation in order to get the coefficient to be an integer.

monitta

$45= \frac{1}{2}a-3 //+3 \\ 48= \frac{1}{2} a// : \frac{1}{2} \\ 48: \frac{1}{2}=a=\ \textgreater \ 48*2=a=\ \textgreater \ a=96$
Hope that helps.Have a nice day!! ^^

5 0

2 years ago

Read 2 more answers

What is the slope of y=-4x-3y?

Keith_Richards [23]

Put the equation in y=mx+b format
Y=-4x-3y
Y+3y=-4x
4y=-4x
Y=-4/4x
Y=-x
The slope is -1
Hope this helps!

4 0

3 years ago

Expand and simplfy (2x+1)(x+3)

Nina [5.8K]

Answer:

(2x+1)(x+3)

2x(x+3)+1(x+3)

2x2+6x+x+3

2x2+7x+3 (2x2 means two x square)

if you want you can also multiply 2x+3 by x+3

like this:

(2x+1)(x+3)

x(2x+1)+3(2x+1)

2x2+x+6x+3

2x2+7x+3 (2x2 means two x square)

They will both give you the same answer.

5 0

2 years ago