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laila [671]
3 years ago
9

Solve the inequality and show your solution on a number line: −4x≥−1

Mathematics
2 answers:
kiruha [24]3 years ago
6 0

<em>*To solve an inequality, it's the same as solving an equation; isolate the variable to one side.</em>

For this, all you need to do is divide both sides by -4. And since we are dividing by a <u>negative</u>, flip the inequality sign and your inequality is x\leq\frac{1}{4}

Now to graph this. Since x can be "equal to" 1/4 ( ≤ = less than or equal to), you will have a <u>closed circle on 1/4.</u> And since x can also be "less than" 1/4, <u>the arrow will be going to the left of 1/4.</u>

zubka84 [21]3 years ago
6 0

Solve:

−4x     ≥       −      1

Steps:

Solution:     x     ≤      1/4

Decimal:      x     ≤         0.25

Interval Notation:       - ∞ ,   1/4


Multiply Both sides by   -1    (Reverse the Reverse the Inequality):

( -4x) ( -  1 )     ≤       ( -1 ) ( -1 )

Simplify:

4x      ≤         1

Divide both sides by  4:

4x/4      ≤     1/4

Answer     ====>       x     ≤      1/4



Hope that helps!!!!                              : )  

Check out uploads as well!!!!

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valentinak56 [21]

Step-by-step explanation:

\huge \: 2 \sqrt{x} .4  {x}^{ -  \frac{5}{2} } \\  \\   \huge \: = 2.4 {x}^{ \frac{1}{2} }  . {x}^{ -  \frac{5}{2} } \\  \\ \huge \:   = 8 {x}^{ \frac{1}{2}  -  \frac{5}{2} }  \\  \\   \huge \: = 8 {x}^{ \frac{1 - 5}{2} }  \\  \\ \huge \:   = 8 {x}^{ -  \frac{4}{2} }  \\  \\ \huge \:   = 8. {x}^{ - 2}  \\

4 0
3 years ago
Find the sum of 5x^3-3x^2+5 and -2x^3+6x^2-5
Rasek [7]

(5x^3-3x^2+5)+(-2x^3+6x^2-5)\\\\=(5x^3-2x^3)+(-3x^2+6x^2)+(5-5)\\\\=\boxed{3x^3+3x^2}

5 0
3 years ago
Susan is looking to hire a cleaning company to clean her house every week. One cleaning company's cost can be calculated by the
kirill [66]

Answer:

<h3>A. 1 hour</h3>

Step-by-step explanation:

If one cleaning company's cost can be calculated by the expression 75 + 50x, where x is the amount of hours they spend cleaning and another cleaning company's cost can be calculated using the expression 50 + 75x, then to calculate how long each company will have to clean to cost the same amount, we will equate both expression of the company cost and solve for x as shown;

On equating:

75 + 50x,  =  75x + 50

collect like terms'

50x-75x = 50-75

-25x = -25

divide both sides by -25

-25x/-25 = -25/-25

x = 1

hence the number of hours each company will have to clean to cost the same amount is 1 hour

3 0
2 years ago
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Masja [62]

Answer:

The radius is always half of the diameter.

Step-by-step explanation:

4 0
3 years ago
Y=x^2-25 is it linear?
Svetllana [295]

Answer:

yes it is i think

7 0
2 years ago
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