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shtirl [24]
3 years ago
9

Solve 9x – 3 > 2x + 11. Show each step of your work please.

Mathematics
2 answers:
Y_Kistochka [10]3 years ago
6 0
Let's do this step by step:
Our objective is to find out x.

First, we have to take the '-3' to the right side, and put it next to the 11. When we do this its operation reverses, so it becomes 11 + 3, which is 14.
So we have 9x > 2x + 14.
Then we do the same to the numbers with X, but this time we take the number from the right side to the left. So 2x to the left (reversed) becomes 9x-2x which is 7x.
So 7x > 14
Now let's simplify, 14/7 = 2
so x = 2
babymother [125]3 years ago
4 0
<span>9x – 3  > 2x + 11
9x - 2x > 11 +3
       7x > 14
         x > 14/7
         x > 2</span>
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Simplify the expression by combining like terms.
Tju [1.3M]

Answer:

8x + 13

Step-by-step explanation:

"Like terms" means the same kind of algebraic expression...the 6x and the 2x are "like terms" because they both have an x in them. The 9 and the 4 are both constants, which means they are plain numbers. So 6x and 2x is 8x .

9+4 is 13 just like elementary school.

So all together,

6x + 9 + 2x + 4

6x + 2x + 9 + 4

8x + 13

We can rearrange the terms because the problem has all addition in between the terms.

4 0
2 years ago
Can you help me please??
dusya [7]

Answer:

y = \frac{4}{5}x+\frac{54}{5}

Step-by-step explanation:

Equation of a line has been given as,

y=\frac{4}{5}x+\frac{3}{5}

Here, slope of the line = \frac{4}{5}

y-intercept = \frac{3}{5}

"If the two lines are parallel, there slopes will be equal"

By this property slope of the parallel line to the given line will be equal.

Therefore, slope 'm' = \frac{4}{5}

Since, slope intercept form of a line is,

y = mx + b

Therefore, equation of the parallel line will be,

y = \frac{4}{5}x+b

Since, this line passes through a point (-6, 6),

6 = \frac{4}{5}(-6)+b

6 = -\frac{24}{5}+b

b = 6+\frac{24}{5}

b = \frac{30+24}{5}

b = \frac{54}{5}

Equation of the parallel line will be,

y = \frac{4}{5}x+\frac{54}{5}

4 0
3 years ago
X+y=8 and 3x+2y=14 for soliving system
kumpel [21]
X+y=8
multiply the first equation by 3 to get rid of x
3x+3y=24
3x+2y=14
subtract equation 1 from 2
y=10
substitute to find the value of x
x+10=8
x=-2


7 0
3 years ago
PLZZZZ NEED HELP!!!!!!
jeka94
Notice the 7) 1st sequence, and the 8) second one

\bf \begin{array}{llll}&#10;term&value\\&#10;-----&-----\\&#10;1&t_1=-2(1)+5\\&#10;2&t_2=-2(2)+5\\&#10;3&t_3=-2(3)+5\\&#10;4&t_4=-2(4)+5\\&#10;5&t_5=-2(5)+5\\&#10;6&t_6=-2(6)+5\\&#10;7&t_7=-2(7)+5\\&#10;8&t_8=-2(8)+5\\&#10;9&t_9=-2(9)+5\\&#10;\end{array}\qquad \qquad &#10;\begin{array}{llll}&#10;term&value\\&#10;-----&-----\\1&t_1=2(3)^{1-1}\\2&t_2=2(3)^{2-1}\\3&t_3=2(3)^{3-1}\\\end{array}
7 0
2 years ago
Pete dad usually deposits $25 into his bank account every week.for the next weeks he wants to deposit more than the usually $25
Burka [1]

Answer:

The answer is "8(25+x)>500;x>37.50".

Step-by-step explanation:

Please find the complete question in the attached file.

 \to 8(25+x)>500\\\\\to 200 +8x>500\\\\\to 8x> 300\\\\\to x> \frac{300}{8}\\\\\to x> 37.50

That's why above given choice is correct.

3 0
2 years ago
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