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svp [43]
3 years ago
7

The reciprocal of -21

Mathematics
2 answers:
Alex_Xolod [135]3 years ago
8 0
1
- -----
21

(Minus one over 21)
KatRina [158]3 years ago
8 0
1
---
-21

The reciprocal is the "flipped" version of this number. -21=-21/1. So if you flip it, it will be 1/-21, which is the answer.
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9 times the quantity of 12 less than a number x is 24. Write in an algebraic expression.
kiruha [24]

Answer:

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Step-by-step explanation:

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2 years ago
6x+4y=42 -3x+3y=-6 by elimination
creativ13 [48]

Answer:

x=5, y=2

Step-by-step explanation:

To solve this system, we need to find x and y. First, let's find x. In the first equation (6x+4y=42), subtract 4y on both sides to isolate 6x. This will result in 6x=42-4y. Divide by 6 on both sides to isolate x and get x=7-\frac{2}{3}y. Now we know what x equals. Go to the second equation ad plug this into it. So instead of -3x+3y=-6, you'll have -3(7-\frac{2}{3}y)+3y=-6. Use the distributive property to get -21+2y+3y=-6. Add 2y and 3y to get -21+5y=-6. Add 21 to both sides to isolate 5y and get 5y=15. Divide by 5 on both sides to isolate y and get y=3. Now that we know that y=3, we can plug this back into the equation that was bolded above so that we can find x, so we'll have x=7-\frac{2}{3}(3) since y=3, and we'll get x=7-\frac{6}{3}, or x=7-2, or x=5.

x=5

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6 0
3 years ago
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A line passes through the points (0, 2) and (1, 6). What is its equation in slope-intercept form?
olchik [2.2K]

Answer:

y=4x+2

Step-by-step explanation:

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4 0
3 years ago
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Anton [14]

Answer:

Michael is running for president. The proportion of voters who favor him is 0.3. A simple random sample of 100 voters is taken.

a)

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standard deviation:: sqrt(n*p*q) = sqrt(80*0.2) = 16

where q is proportion of voters who do not favor Michael. (q=0.2)

and shape of the sampling distribution is binomial distribution  which is  approximately a  bell shaped.

-------------------------

what is the probability that the number of voters in the sample who will not favor Michael will be more than 16

P(X < 16.0) = P((x - 20) / 4.0) < (16.0 - 20) / 4.0) = P(Z < -1.00) = .1587        

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5 0
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Hope this helps :)

6 0
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