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hoa [83]
2 years ago
15

How many solutions does 2(2x-10)-8=-2(14-3x)

Mathematics
2 answers:
nalin [4]2 years ago
5 0
If you would like to solve the equation 2 * (2 * x - 10) - 8 = - 2 * (14 - 3 * x), you can calculate this using the following steps:

2 * (2 * x - 10) - 8 = - 2 * (14 - 3 * x)
2 * 2 * x - 2 * 10 - 8 = - 2 * 14 + 2 * 3 * x
4 * x - 20 - 8 = - 28 + 6 * x
4 * x - 6 * x = - 28 + 20 + 8
- 2 * x = 0
x = 0

The correct result would be 1 solution: x = 0.
pishuonlain [190]2 years ago
3 0
2(2x-10)-8=-2(14-3x) \\ \\ 4x - 20 - 8 = -28 + 6x \ / \ expand \\ \\ 4x - 28 = -28 + 6x \ / \ simplify \\ \\ 4x - 28 = 6x - 28 \ / \ regroup \ the \ terms \\ \\ 4x = -6x\ / \ cancel \ -28 \ out \\ \\ 4x - 6x = 0 \ / \ move \ terms \ to \ one \ side \\ \\ -2x = 0 \ / \ simplify \\ \\ x = 0 \ / \ divide \ each \ side \ by \ -2 \\ \\

So, you're answer to this problem is one solution (x = 0).
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3. One of the graphs represents
faltersainse [42]

Answer:

3x-2y=6

Step-by-step explanation:

Subtract 3x from both sides of the equation

Divide each term by −2 and simplify.

y=-3+\frac{3x}{2}

Rewrite in slope-intercept form

y=\frac{3}{2} *-3

Use the slope-intercept form to find the slope and y-intercept.

Find the values of m and  b using the form y=mx+b

m=\frac{3}{2}

b=-3

The slope of the line is the value of m, and the y-intercept is the value of b.

Slope: \frac{3}{2}

y-intercept: -3

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding  y values.

Choose 0 to substitute in for x to find the ordered pair.

(0,−3)

Choose 1 to substitute in for x to find the ordered pair.

(1,-\frac{3}{2} )

Graph the line using the slope and the y-intercept, or the points.

slope:\frac{3}{2}

y-intercept:-3

5 0
3 years ago
Can someone please help me with this problem asap
Kitty [74]
Where is the problem at? give me the url

6 0
2 years ago
10t+<img src="https://tex.z-dn.net/?f=%5Cgeq" id="TexFormula1" title="\geq" alt="\geq" align="absmiddle" class="latex-formula">1
Umnica [9.8K]

Answer:

The answer is t\geq 20.

Step-by-step explanation:

To solve the inequality, start by solving for the variable t.

To solve for the variable t, subtract 3.5t from both sides. The inequality will look like 6.5t\geq 130.

Then, divide both sides by 6.5 in order to get the variable t by itself. The inequality answer will look like t\geq  20.

3 0
2 years ago
Answer with the explanation step by step
andrey2020 [161]

Answer:

The answer is A. \frac{3(x-21)}{(x+7)(x-7)}.

Step-by-step explanation:

To find the difference of this problem, start by simplifying the denominator, which will look like \frac{3}{x+7}-\frac{42}{(x+7)(x-7)}. Next, multiply \frac{3}{x+7} by \frac{x-7}{x-7}  to create a fraction with a common denominator in order to subtract from \frac{42}{(x+7)(x-7)}. The problem will now look like \frac{3}{x+7}*\frac{x-7}{x-7}-\frac{42}{(x+7)(x-7)}.  

Then, simplify the terms in the problem by first multiplying \frac{3}{x+7} and \frac{x-7}{x-7}, which will look like \frac{3(x-7)}{(x+7)(x-7)}-\frac{42}{(x+7)(x-7)}. The next step is to combine the numerators over the common denominator, which will look like \frac{3(x-7)-42}{(x+7)(x-7)}.

Next, simplify the numerator, and to simplify the numerator start by factoring 3 out of 3(x-7)-42, which will look like \frac{3(x-7-14)}{(x+7)(x-7)}. Then, subtract 14 from -7, which will look like \frac{3(x-21)}{(x+7)(x-7)}. The final answer will be \frac{3(x-21)}{(x+7)(x-7)}.    

4 0
3 years ago
**8. At a buffet restaurant, the price for dinner for an adult is $6.95 and the price for dinner for a child is $3.95. A
qaws [65]

Answer is A

Step-by-step explanation:

3 0
3 years ago
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