A cube has a volume of 1000 cubic feet. What us the edge length of the cube?
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Given the linear equation 4y = 8x - 3, find the y-intercept
Which integer is closest to 0 on the number line? a. –7 b. –2 c. 1 d. 3
Which of the following is an equivalent form of the compound inequality −22 > −5x − 7 ≥ −3?A) −5x − 7 < −22 and −5x − 7 ≥ −3 B) −5x − 7 > −22 and −5x − 7 ≥ −3 C) −5x > −22 and −7 ≥ −3 D) −5x − 7 < −22 and −5x − 7 ≤ −3
Alex received two job offers. He is not sure whether he should take a job at the movie theater that's close to his house and pays $8.50 per hour, or if he should take the job at a grocery store that pays $9.00 per hour, but is a thirty-minute drive away. Use the PACED decision process to decide what Alex should do. Show each step.
b. are fairly small
c. make loans to businesses
d. all of the above
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The best answer to the question then is letter c.make loans to businesses.
Second equation: 3x - 9y = 30
The first equation should be multiplied by 3 and the second equation by 5.
The first equation should be multiplied by 3 and the second equation by −5.
The first equation should be multiplied by 9 and the second equation by 4.
The first equation should be multiplied by 9 and the second equation by −4.
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9(5x - 4y) = 9(28)
4(3x - 9y) = 4(30)
45x - 36y = 252 ⇒ 45x - 36y = 252
-(12x - 36y = 120)⇒ -12x + 36y = -120
33x + 0 = 132
33x = 132
x = 132/33
x = 4
5x - 4y = 28
5(4) - 4y = 28
20 - 4y = 28
-4y = 28 - 20
-4y = 8
y = 8/-4
y = -2
x = 4 ; y = -2
3x - 9y = 30
3(4) - 9(-2) = 30
12 + 18 = 30
30 = 30
Answer:
the answer is D
Step-by-step explanation:
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Answer:
0.9855 or 98.55%.
Step-by-step explanation:
The probability of each individual match being flawed is p = 0.008. The probability that a matchbox will have one or fewer matches with a flaw is the same as the probability of a matchbox having exactly one or exactly zero matches with a flaw:
The probability that a matchbox will have one or fewer matches with a flaw is 0.9855 or 98.55%.
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19 247⁄500
Improper fraction:
9747⁄500
Thank u
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Answer:
Step-by-step explanation:
Left
When a square = a linear, always expand the squared expression.
x^2 - 2x + 1 = 3x - 5 Subtract 3x from both sides
x^2 - 2x - 3x + 1 = -5
x^2 - 5x +1 = - 5 Add 5 to both sides
x^2 - 5x + 1 + 5 = -5 + 5
x^2 - 5x + 6 = 0
This factors
(x - 2)(x - 3)
So one solution is x = 2 and the other is x = 3
Second from the Left
i = sqrt(-1)
i^2 = - 1
i^4 = (i^2)(i^2)
i^4 = - 1 * -1
i^4 = 1
16(i^4) - 8(i^2) + 4
16(1) - 8(-1) + 4
16 + 8 + 4
28
Second from the Right
This one is rather long. I'll get you the equations, you can solve for a and b. Maybe not as long as I think.
12 = 8a + b
17 = 12a + b Subtract
-5 = - 4a
a = - 5/-4 = 1.25
12 = 8*1.25 + b
12 = 10 + b
b = 12 - 10
b = 2
Now they want a + b
a + b = 1.25 + 2 = 3.25
Right
One of the ways to do this is to take out the common factor. You could also expand the square and remove the brackets of (2x - 2). Both will give you the same answer. I think expansion might be easier for you to understand, but the common factor method is shorter.
(2x - 2)^2 = 4x^2 - 8x + 4
4x^2 - 8x + 4 - 2x + 2
4x^2 - 10x + 6 The problem is factoring since neither of the first two equations work.
(2x - 2)(2x - 3) This is correct.
So the answer is D