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Sonbull [250]
3 years ago
11

Simplify. Consider all cases. |14−(x−6)| |14−(6-x)|

Mathematics
1 answer:
S_A_V [24]3 years ago
8 0

Answer:

8+x if x > -8

8 if x = 0

-8-x if x < -8

Step-by-step explanation:

|14−(6-x)|

|14−6+x|

|8+x|

8+x if x > -8

8 if x = 0

-8-x if x < -8

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State whether the following variables have a positive correlation, negative correlation, or no correlation.
muminat

The types of correlation seen between positive correlation, negative correlation, or no correlation, in the variables is:

  • a. Height of a person and how often he or she attends religious services. - No correlation
  • (b.)Average property tax in a school district and salary of teachers - Positive correlation
  • (c.)Weight of a person and shoe size. - Positive correlation

<h3>What is the correlation between property taxes and teacher salaries?</h3>

One of the main sources of funding for school districts is the property tax charged. This means that increased property taxes will lead to more money being available for teacher salaries which might then increase. There is therefore a positive correlation between the two.

The same is true for the weight of a person and shoe size. This is because the heavier a person is, the larger their shoe size according to research.

There is however no correlation between the height of a person and their attendance of religious services.

Find out more on positive correlation at brainly.com/question/17180881

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6 0
11 months ago
The refrigerator part of a refrigerator-freezer has a volume of 27 cubic feet.
scZoUnD [109]

Answer:

324 cubic feet

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
A company's revenue function and cost function are as follows: R(x) = 0.55x and C(x) = 10 + 0.05x. What is the minimum number of
Oduvanchick [21]

Answer:

Minimum number of units sold to make profit is equal to 20

Step-by-step explanation:

Revenue earned by the company as a function of number of units sold as x:

R(x) = 0.55x

Cost for selling units as a function of number of units sold as x:

C(x) = 10 + 0.05x

<em>Net profit earned by the company = (Revenue earned by the company) - (Cost of selling units)</em>

P(x) = (0.55x) - (10 + 0.05x)

P(x) = 0.55x - 10 - 0.05x

P(x) = 0.5x - 10

To earn profit the following condition should satisfy: P(x) ≥ 0

0.5x - 10 ≥ 0

0.5x ≥ 10

x ≥ \frac{10}{0.5}

x ≥ 20

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3 years ago
Ray LC is an angle bisector of ∠JLY, m∠JLC = (6x + 1)°, and m∠JLY = (10x + 16)°.
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4x + 15 = 6x - 1
x = 8
m∠JLC = 47°
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3 years ago
Observe the sequences below. I. 3, 6, 9, 12, ... II. 3, 9, 27, 81, III. 2, 4, 8, 16, ... IV. 3, 5, 7, 9, Which of these are geom
Sholpan [36]
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