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3 years ago

6

When solving an absolute value inequality, the fact of whether it is a "greater than/greater than or equal to" as opposed to "le

ss than/less than or equal to" will change the way you solve the problem, depending on which sign it is.
True
False

1 answer:

Alex73 [517]3 years ago

7 0

It is true hopes this helps you

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Can you pls help me thank you have a good day

expeople1 [14]

Answer:

the slope is 3/1 so if the point before your answer is (2,6) the add 3 to six and 1 to 2 and your answer is (3,9).

hope this helps

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2 years ago

Read 2 more answers

What is the inverse function of g(x)=1/x-2

kkurt [141]

Assuming it's $g(x)=\dfrac{1}{x-2}$

$y=\dfrac{1}{x-2}\\ x-2=\dfrac{1}{y}\\ x=\dfrac{1}{y}+2\\ g^{-1}(x)=\dfrac{1}{x}+2$

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3 years ago

The GCD(a, b) = 9, the LCM(a, b)=378. Find the least possible value of a+b.

denis-greek [22]

$\mathrm{gcd}(a,b)=9\implies9\mid a\text{ and }9\mid b\implies9\mid a+b$

which means there is some integer $k$ for which $a+b=9k$ .

Because $9\mid a$ and $9\mid b$ , there are integers $n_1,n_2$ such that $a=9n_1$ and $b=9n_2$ , and

$\mathrm{lcm}(a,b)=\mathrm{lcm}(9n_1,9n_2)=9\mathrm{lcm}(n_1,n_2)=378\implies\mathrm{lcm}(n_1,n_2)=42$

We have $42=2\cdot3\cdot7$ , which means there are four possible choices of $n_1,n_2$ :

1, 42
2, 21
3, 14
6, 7

which is to say there are also four corresponding choices for $a,b$ :

9, 378
18, 189
27, 126
54, 63

whose sums are:

387
207
153
117

So the least possible value of $a+b$ is 117.

6 0

3 years ago

A card is drawn from a standard deck of cards. Find P(diamond) given that the card drawn is black.

Mice21 [21]

Answer:

0%

Step-by-step explanation:

In a standard card deck, you have a total of 52 cards. Half of the card (26 cards) is black color, and a quarter(13 cards) of the card is diamond. Out of 26 black color cards, 13 of them spades and the other 13 is club. There is 0 diamond card out of 26 black color cards.

Then, the probability of diamond card if the card drawn black will be: 0/13= 0%

It is impossible to draw a diamond card since all diamond is red color.

6 0

3 years ago

A shipping service restricts the dimensions of the boxes it will ship for a certain type of service.

Mandarinka [93]

Answer:

Then the answer is option a

a. 0<x $\leq$ 10

Step-by-step explanation:

perimeter + height is less than 130 inches.

If height is 60 inches.then perimeter left is 70 inches.

If perimeter was more than 70 inches then perimeter 60 more than the height would be more than 130.

perimeter of rectangle is

It has two widths and two lengths because that's what rectangles do.

width of base "x"

Then the length is 2.5x

perimeter = 2 width + 2 length

= $2(x) + 2(2.5x)$

= 2x + 5x

= 7x

but perimeter can't be more than 70 inches.

So x can't be more than 10 inches because if x was more than 10 inches, then 7x which is perimeter would be more than 70 inches.

$2x + 2(2.5x) + 60 \leq 130$

7x + 60 ≤ 130

7x ≤ 70

x ≤ 10

Then the answer is option a

a. 0<x≤10

3 0

3 years ago