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sattari [20]
3 years ago
12

Which statement is always true? A.) The absolute value of an integer is equal to the opposite of the integer B.) a positive inte

ger is greater than a negative number C.) the absolute value of an integer is greater than zero D.) An integer is greater than its opposite
Mathematics
2 answers:
8_murik_8 [283]3 years ago
6 0

Answer:

a positive integer is greater than a negative number

Step-by-step explanation:

Let us consider each option one by one:

A.) Let us consider a counter example where the integer = 2

As per option A , abs(2) = -2

But this is incorrect. So option A is invalid.

B) Any positive integer is greater than 0

Any negative number is less than 0.

So, any positive integer is greater than a negative number.

C.) Let us consider an integer 0.

abs(0) = 0

But this is not greater than 0. So this option is not always valid.

D) Let us consider an integer -2.

Its opposite is 2.

But -2 < 2

So option D is invalid.

Ahat [919]3 years ago
3 0

Answer:

the absolute value of an integer is equation to the opposite of the integer

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What is the volume of the composite figure shown below?
AVprozaik [17]

Answer:

2412 mm³

Step-by-step explanation:

In the figure attached, the composite figure is shown.

Dimension of top rectangular prism:

  • length of 13 millimeters
  • width of 12 millimeters
  • height of 12 millimeters

Volume of top rectangular prism: length*width*height = 13*12*12 = 1872 mm³

Dimension of bottom rectangular prism:

  • length of 15 millimeters
  • width of 12 millimeters
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Volume of bottom rectangular prism: length*width*height = 15*12*3 = 540 mm³

Volume of the composite figure: 1872 + 540 = 2412 mm³

7 0
2 years ago
What is the y-intercept of a line that has a slope of One-fourth and passes through point (8, 3)?
kondor19780726 [428]

Answer:

y-intercept is (0, 1)

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
BRAINLIEST TO THE PERSON THAT ANSWERS FIRST
Oksana_A [137]

Answer:

A repeating decimal can be written as a fraction using algebraic methods, so any repeating decimal is a rational number.

Marco is wrong cuz its not repeating

6 0
2 years ago
Hi- I need help please to get my HS diploma...did not graduate :(
andrew-mc [135]

The remainder from the division of the algebraic equation is -53/8.

<h3>What is the remainder of the algebraic expression?</h3>

The remainder of the algebraic expression can be determined by using the long division method.

Given that:
\mathbf{f(x) = \dfrac{x^3 - 6x^2 + 3x - 1}{2x-3}}

where:

  • The divisor = 2x -3

Using the long division method, we have:

\mathbf{= \dfrac{x^2}{2} +\dfrac{-\dfrac{9x^2}{2}+3x -1 }{2x-3}}

\mathbf{= \dfrac{x^2}{2}-\dfrac{9x}{4} +\dfrac{-\dfrac{-15x}{4}-1 }{2x-3}}

\mathbf{= \dfrac{x^2}{2}-\dfrac{9x}{4} -\dfrac{15}{8}+\dfrac{-\dfrac{53}{8} }{2x-3}}

\mathbf{= \dfrac{x^2}{2}-\dfrac{9x}{4} -\dfrac{15}{8}-\dfrac{53 }{8(2x-3)}}

Therefore, we can conclude that the remainder is -53/8.

Learn more about the division of algebraic equations here:

brainly.com/question/4541471

#SPJ1

8 0
2 years ago
It costs $60 per hour to rent a jet ski. The total cost of a jet ski rental
Anastasy [175]

Answer:

y = 60x + 20

Step-by-step explanation:

The number of hours that we ski is a variable cost where each hour costs $60. On top of that, we have a fixed cost of $20 which stays the same no matter how long we ski.

So we can use an equation to find the totla cost C given the number of hours t as follows:

C(t) = 60t + 20

We can use this equation to find the cost of a skiing session by plugging in some value for t. For example, if we ski for 3 hours:

C(3) = 60(3) + 20 = $200

The equation can also be written using x and y and mean the same thing.

7 0
3 years ago
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