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Darya [45]
2 years ago
10

How do I solve 5(x - 3) - 6(x - 2) ≤ 8

Mathematics
2 answers:
bulgar [2K]2 years ago
8 0

Answer:

<u>x ≥ -11</u>

Step-by-step explanation:

<u>Distribution of the terms</u>

  • 5(x - 3) - 6(x - 2) ≤ 8
  • 5x - 15 - 6x + 12 ≤ 8

<u>Combine like terms</u>

  • 5x - 15 - 6x + 12 ≤ 8
  • -x - 3 ≤ 8

<u>Add 3 on each side.</u>

  • -x - 3 + 3 ≤ 8 + 3
  • -x ≤ 11

<u>Divide by -1 (change sign)</u>

  • -x/-1 ≤ 11/-1
  • <u>x ≥ -11</u>
ANTONII [103]2 years ago
7 0
Do whatever is in the ( ) first
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DESPERATELY NEED HELP
In-s [12.5K]

Remark

You must use the sin law to find this.


\dfrac{Sin(75)}{22} = \dfrac{Sin(x)}{12}

Multiply through by 12

12 * \dfrac{Sin(75)}{22} = \dfrac{Sin(x)}{12} *12


\dfrac{12*sin(75)}{22} = \text{sin(x)}

0.5269 = sin(x)


Now you have to use the inverse of the sine function.

Use your calculator for that

2nd F

sin-1

(0.5269)

= 31.79 degrees. <<<<<< Answer.


There sometimes is a second answer. I don't think there is in this case.


3 0
3 years ago
the height of a bookshelf is 6 ft. the width if the bookself is 2 ft. How many times the width of the book self is the height of
choli [55]
The answer is 3 hope this helps
6 0
3 years ago
Read 2 more answers
write an equation: Great Uncle Wilbert splits his inheritance equally between his five nieces and nephews. Unfortunately each of
Vaselesa [24]
I think it would be 1225000 because:

$7,500 each to the govt each comes out to $37,500 total given 
237,500 each to the kids comes out to 41,187,500 total given 
so adding both totals, you get $1,225,000 total money in Great Uncle Wilbert's inheritance

apparently he was rich xD

<span>
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6 0
3 years ago
Given the function f(x) = -0.5|2x + 2| + 1, for what<br> values of x is f(x) = 6?
Licemer1 [7]

Answer:

<em>No values of x can make f(x)=6</em>

Step-by-step explanation:

Equation with Absolute Value

The absolute value of a number is always positive. That condition must be met when solving equations. Any condition that goes against the rule, must be discarded and not part of the solution.

The function provided in the question is:

f(x) = -0.5|2x + 2| + 1

We need to find the value(s) of x that make:

f(x)=6

It needs to solve the equation:

-0.5|2x + 2| + 1=6

Subtracting 1:

-0.5|2x + 2| =6-1=5

Dividing by -0.5:

|2x + 2| =5/(-0.5)=-10

We reach to this equation to solve:

|2x + 2| =-10

As stated above, the absolute value is always positive, and the equation forces the absolute value to be negative. There is no possible value of x that makes the absolute value negative, thus:

No values of x can make f(x)=6

6 0
3 years ago
in the classroom there are 60 student among them the ratio of boys and girls is 2:3 find the number of boys and girl​
ra1l [238]

Answer:

boys = 24 \\ girls = 36

Step-by-step explanation:

2 : 3 \\ 2 + 3 = 5 \\  \\  \frac{60}{5}  = 12 \\  \\  \: boys \:  \:  \:  : girls\\ \:  2 \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \:  \: :  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: 3 \\ 12 \times 2 : 12 \times 3 \\  \:  \: 24 \:  \:  \:  \:  \:  \:  \:  \:  :  \:  \:  \: 36

6 0
3 years ago
Read 2 more answers
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