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dedylja [7]
3 years ago
8

Solve the following inequality. |-2x + 1| < 13Please help!!!!

Mathematics
1 answer:
earnstyle [38]3 years ago
3 0

Answer:

x>−6 and x<7

Step-by-step explanation:

Let's solve your inequality step-by-step.

|−2x+1|<13

Solve Absolute Value.

|−2x+1|<13

We know−2x+1<13and−2x+1>−13

−2x+1<13(Condition 1)

−2x+1−1<13−1(Subtract 1 from both sides)

−2x<12

−2x

−2

<

12

−2

(Divide both sides by -2)

x>−6

−2x+1>−13(Condition 2)

−2x+1−1>−13−1(Subtract 1 from both sides)

−2x>−14

−2x

−2

>

−14

−2

(Divide both sides by -2)

x<7

Answer:

x>−6 and x<7

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LenaWriter [7]
To compare fractions , you need to have same denominator.

Just multiply the Numerator and denominator of the fraction by  required number so as to get the common denominator.

for example, In this case , the common denominator is 12.
the first fraction is converted as shown, 5/3=5*4/3*4=20/12
similarly, you can convert others.
Once you have common denominator, just compare numerators.
4 0
4 years ago
Which of the following formulas, when evaluated using rational values for the variables, will result in an irrational number?
Lerok [7]

Answer:

a) The formula for the area of a circle  

Step-by-step explanation:

The formula for the area of a circle is  

A = πr²

π is an irrational number and, no matter what value you use for r, the area will be an irrational number,

b) is wrong. A = ½(a + b)h.  

c) is wrong. A = ½bh.

d) is wrong. A = bh.

All measurements are rational numbers, so the areas will be rational numbers.

8 0
3 years ago
Find the volume of the figure. Round your answer to the nearest tenth if necessary
Stella [2.4K]
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8 0
3 years ago
How much fabric is required to cover x buttons in the shape of a circle whose radius is 3x ?
Leviafan [203]

Radius of 1 button = r = 3x

Fabric required to cover 1 button = Area of the circle

= \pi r^{2}

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Total number of buttons = x

Fabric required to cover 1 button = 9\pi x^{2}  

Fabric required to cover x buttons = x(9\pi x^{2} )

=9\pi x^{3}

Hence, fabric required to cover x buttons =9\pi x^{3}  sq. units


3 0
3 years ago
This set of points is on the graph of a function.
Liula [17]

If (a, b) is on the graph of a function f(x), then (b, a) is on the graph of the inverse.

We have points on the graph of a function: {(-3, 9), (-1, 1), (0, 0), (2, 4)}.

The points on the graph of the inverse: {(9, -3), (1, -1), (0, 0), (4, 2)}.

<h3>Answer: (4, 2), (0, 0), (1, -1).</h3>
7 0
3 years ago
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