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2 years ago

Write an absolute value inequality for the graph below GRAPH ADDED. Please reply with correct answer 1/3

Mathematics

1 answer:

Mama L [17]2 years ago

3 0

The absolute value inequality for the graph is given as |x| < 4

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

The absolute value is given by:

|x - average| = distance to midpoint

From the graph:

x > -4 and x < 4

The midpoint is 0, hence Distance between -4 or 4 to midpoint (0) is 4

Average = (-4 + 4)/2 = 0

Hence:

|x - 0| = 4

|x| < 4

The absolute value inequality for the graph is given as |x| < 4

Find out more on equation at: brainly.com/question/2972832

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Look at the sample space below. {1, 2, 3, 7, 9, 10, 15, 19, 20, 21} When chosen randomly, what is the probability of picking an

maw [93]

Answer:

the probability of picking an odd number is 7/10

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3 years ago

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Logs are stacked in a pile. The bottom row has 50 logs and next to bottom row has 49 logs. Each row has one less log than the ro

Mars2501 [29]

Answer:

46 logs on the 5th row.

Step-by-step explanation:

Number of logs on the nth row is

n = 50 - (n-1)

n = 51 - n (so on the first row we have 51 - 1 = 50 logs).

So on the 5th row we have 51 - 5 = 46 logs.

8 0

3 years ago

11th grade geometry:

Aliun [14]

Answer:

<em>The perimeter is 72 units and the area is 149 square units.</em>

Step-by-step explanation:

$\triangle SBA$ has coordinates $S(15,-8),B(-2,21)$ and $A(0,0)$

Using the distance formula.........

Length of side $SB = \sqrt{(15+2)^2+(-8-21)^2}= \sqrt{17^2+(-29)^2}= \sqrt{1130}$

Length of side $BA= \sqrt{(-2)^2+(21)^2}= \sqrt{445}$

Length of side $AS =\sqrt{(15)^2+(-8)^2}=\sqrt{289}=17$

So, the perimeter of the triangle will be: $(SB+BA+AS)= \sqrt{1130}+ \sqrt{445}+17 =71.71... \approx 72$ units. <em>(Rounded to the nearest unit)</em>

The height of the triangle for the corresponding base $SB$ is 8.89 units.

<u>Formula for the Area of triangle</u>, $A= \frac{1}{2}(base\times height)$

So, the area of the $\triangle SBA$ will be: $\frac{1}{2}(\sqrt{1130}\times 8.89)= 149.42... \approx 149$ square units. <em>(Rounded to the nearest unit)</em>

3 0

3 years ago

What is (n+2) / -8=-4

Travka [436]

$\frac{n +2}{-8} =-4$ Multiply -8 on both sides

$\frac{n +2}{-8} (-8)=-4(-8)$

n + 2 = 32 Subtract 2 on both sides

n + 2 - 2 = 32 - 2

n = 30

5 0

3 years ago

The length of a log of wood is 90 in. How many cuts do you need to make to obtain

Ilia_Sergeevich [38]

The greatest number of pieces will be 12 where each piece will have a different length and the length of each piece is a whole number, in inches and the remaining piece length will be 12 in(90 - 78).

<h3>What is a sequence?</h3>

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

The total length of the wood = 90 in

We have to cut it into the greatest number of pieces, where each piece will have a different length and the length of each piece is a whole number, in inches.

We can cut it like:

1 in, 2 in, 3 in, 4 in, and so on

The above shows the arithmetic sequence,

The sum of the n natural number is given by:

$\rm S_n = \dfrac{n(n+1)}{2}$

$\rm 90 = \dfrac{n(n+1)}{2}$

After solving, we will get a quadratic equation:

n² + n -180 = 0

After solving, we will get:

n = 12.92 and n = -13.92(term can not be negative)

n = 12 (taking whole number)

Thus, the greatest number of pieces will be 12 where each piece will have a different length and the length of each piece is a whole number, in inches and the remaining piece length will be 12 in(90 - 78).

Learn more about the sequence here:

brainly.com/question/21961097

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6 0

2 years ago