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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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y =  - 6x + 16
distribute the -3 and the square into the first equation
y =  - 3x ^{2}  + 12x - 8
y =  - 6x + 16
multiply the second equation by 2
y =  - 3x ^{2}  + 12x - 8
y =  - 12x + 32
add the equations together
y =  - 3x ^{2}  + 24
factor out -3
y =  - 3(x ^{2}  - 8)
factor inside parenthesis
y =  - 3(x +  \sqrt{8} )( x -  \sqrt{8})
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y =  - 3(x + 2 \sqrt{2} )(x - 2  \sqrt{2} )

8 0
3 years ago
Help - algebra 1!!!!!!!!!!!
dimaraw [331]

Answer:

7.4*10^-5, 7300000

Step-by-step explanation:

1 There are 4 zeros in 1

round up .0000742 to .000074

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2 7.3*10^6= 73 is first, 6 places after 7 so 5 zeros (6 is in a place)

4 0
3 years ago
While performing a piece of music, Tommy strikes the cymbals every 7 beats and the triangle is every 12 beats. If he just struck
Semmy [17]

Answer:

84

Step-by-step explanation:

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LCM of 7, 12=84

Therefore, the number of beats will pass before he again strikes them at the same time is 84

5 0
2 years ago
Please help! this is hard for me!
weqwewe [10]

Answer:

$12.31

Step-by-step explanation:

Think of the original rate of pay as being 100%.

If your rate is increasing by 7%, it will now be 107% of the original rate (since 100% + 7% = 107%)

To find 107% of $11.50, convert 107% into a decimal

⇒ 107% = 107/100 = 1.07

then multiply this by the original rate to get the new increased rate:

⇒ $11.50 × 1.07 = $12.305

Rounding this to the nearest hundred = $12.31

Alternatively, you can find 7% of $11.50 and then add this to $11.50.

⇒ 7% = 7/100 = 0.07

Therefore, 7% of $11.50 = 0.07 × $11.50 = $0.805

Add this to the original rate:

$11.50 + $0.805 = $12.305

Rounding this to the nearest hundred = $12.31

8 0
2 years ago
Create a system of equations to represent the word problem. Then solve using the linear combination/elimination method. Show all
Leno4ka [110]

Answer:

Solution given:

model A printers [a] prints=80books per day

model B printers [b] prints=55books per day

total no of printers =9

no of model A printers be x

and

no of model B printers be [9-x]

According to the question;

ax+(9-x)b=670 books

substituting value of a and b; we get

80x+(9-x)55=670

80x-55x+495=670

25x=670-495=175

x=\frac{175}{25}=7

So;

no of model A printers =x=<u>7</u>

no of model B printers =9-x=9-7=<u>2</u>

<u>is</u><u> </u><u>your</u><u> </u><u>answer</u><u>.</u>

8 0
2 years ago
Read 2 more answers
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