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belka [17]
3 years ago
10

What is the equation in slope – intercept form? 7x + 2y = 14

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
4 0

7x+2y = 14

7x-7x +2y = 14-7x  [subtracting 7x from both sides]

2y/2 = -7x/2 + 14/2

y = -7x/2 + 7 (Slope-intercept form).

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2/5 or 0.4

Step-by-step explanation:

y2-y1/ x2-x1

y2=2, y1=0

x2=5, x1=0

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What is equivalent to (3 - 2x) (4x - 7)​
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-8x^2+26x-21

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All the boxes in a certain warehouse were arranged in stacks of 12 boxes each, with no boxes left over. After 60 additional boxe
AveGali [126]

Answer:

(1) There were fewer than 110 boxes in the warehouse before the 60 additional boxes arrived. (2) There were fewer than 120 boxes in the warehouse after the 60 additional boxes arrived.

Step-by-step explanation:

Given that all the boxes in a certain warehouse were arranged in stacks of 12 boxes each, with no boxes left over.

This implies that boxes are in multiples of 12

i.e. 12, or 24, or 36 or....

Let us say this as 12m for m an integer

Now additional boxes arrived =60

Total number of boxes now = 12m+60

This when arranged in stacks of 14,nothing left out

Or this is multiple of 14

12m+60 = 14n for some positive integer n.

By trial and error we find that if 60 is to be divided by 14, 24 should be added and 24 is a multiple of 12.

So we say originally 24 boxes were there now 84 boxes there.

Hence both options are right.

(1) There were fewer than 110 boxes in the warehouse before the 60 additional boxes arrived. (2) There were fewer than 120 boxes in the warehouse after the 60 additional boxes arrived.

3 0
3 years ago
Child Health and Development Studies (CHDS) has been collecting data about expectant mothers in Oakland, CA since 1959. One of t
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Answer:

<em>A.) There is a 3.4% chance that a random sample of 50 expectant mothers will have a mean age of 26.5 years old or greater if the mean age for a first time mother is 26 years old.</em>

Step-by-step explanation:

The mean age for a first time mother is assumed 26 years old (null hypothesis) and <em>p-value</em> of the sample mean (26.5 years ) is found as 0.034.

This is the probability of having first time mother mean age 26.5 or greater <em>under the assumption of null hypothesis. </em>

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