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4 years ago

Solve: –3x – 24 ≤ –36 what is x equal to?

Mathematics

2 answers:

Kay [80]4 years ago

6 0

Answer:

X <= 4

Step-by-step explanation:

-3x - 24<= -36

Make -3x the subject, by carrying -24 to the other side

Note: Moving -24 to the other side changes to + 24

-3x <= -36 + 24

-3x <= - 12

Minus cancels minus

3x <= 12

Divide both sides by 3,to get the value of x

3x/3 <= 12/3

x <= 12/3

x <= 4

Therefore, x equals to 4

e-lub [12.9K]4 years ago

6 0

Answer:

x ≥ 4

Step-by-step explanation:

To solve this inequality, we are going to follow the steps below;

first add 24 to both-side of the inequality

–3x – 24 ≤ –36

-3x - 24 + 24 ≤ -36 + 24

-24 + 24 will give us zero, hence our inequality becomes;

-3x ≤ -12

Divide both-side of the inequality by -3.

You should note that whenever you are dividing both-side of inequality by a negative sign, the inequality sign will change, if it is "≤" it becomes"≥" and if it is "≥" it becomes "≤".

-3x/-3 ≤ -12/-3

x ≥ 4

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chubhunter [2.5K]

Answer:

1. x=1

2. x=7

Step-by-step explanation:

1. -8(1+4x)+7x=-25-8x

-8-32x+7x=-25-8x

8x-32x+7x=-25+8

-17x=-25+8

-17x=-17

$\frac{-17x}{-17} =\frac{-17}{-17} \\x=1$

2. -5+6(x-7)=-40+5x

-5+6x-42=-40+5x

-47+6x=-40+5x

x=47-40

x=7

5 0

3 years ago

If a + b = c and b = 5, then a + 5 = c is known as the ________ property. Question 18 options: A) substitution B) symmetric C) t

Anna007 [38]

Answer:

Substitution

Step-by-step explanation:

We know that B equals five, and that a + b = c. This means that if we substitute 5 for b, the equation will still be true. Hope this helps!

8 0

3 years ago

Read 2 more answers

Graph the equation<br> g(x)=1/5x^2-2x-1

Svetradugi [14.3K]

Answer:

Step-by-step explanation:

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3 years ago

Please help me complete 5 and 6

Rina8888 [55]

1. Parenthesis:
(15)8 - 4 + 2 + 1
Multiply:
120 - 4 + 2 + 1
Subtract:
116 + 2 + 1
Add:
119, the answer is A.
2. 8 x 15 = 120
120 / 2 = 60
6 x 15 = 90
90 + 60 = 150
The answer is A.
Hope this helps!

8 0

3 years ago

The revenue equation (in hundreds of millions of dollars) for barley production in a certain country is approximated by R(x) = 0

STatiana [176]

Answer:

The marginal-revenue equation is $R'(x)=0.1226x+1.1584$ .

The marginal revenue for the production of 200,000,000 bushels is $R'(x)=1.4036$ .

The marginal revenue for the production of 650,000,000 bushels is $R'(x)=9.1274$ .

Step-by-step explanation:

The derivative $R'(x)$ of the revenue function is called the marginal revenue function and is the rate of change of revenue with respect to the number of units sold.

We know the revenue function, $R(x) = 0.0613x^{2} +1.1584x+2.4813$ . Therefore, the marginal revenue function is

$R'(x)=\frac{d}{dx}R(x) = \frac{d}{dx}(0.0613x^{2} +1.1584x+2.4813)\\\\=\frac{d}{dx}\left(0.0613x^2\right)+\frac{d}{dx}\left(1.1584x\right)+\frac{d}{dx}\left(2.4813\right)\\\\R'(x)=0.1226x+1.1584$

To find the marginal revenue for the production of:

200,000,000 bushels we use x = 2, since x is in units of hundreds of million of dollars.

$R'(x)=0.1226\cdot \:2+1.1584\\\\R'(x)=0.2452+1.1584\\\\R'(x)=1.4036$

650,000,000 bushels we use x = 65, since x is in units of hundreds of million of dollars.

$R'(x)=0.1226\cdot \:65+1.1584\\\\R'(x)=7.969+1.1584\\\\R'(x)=9.1274$

3 0

3 years ago