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mojhsa [17]
2 years ago
13

Which is a simplified form of the expression 2(2j + 3) – 3j? A. -j + 3 B. 2j + 3 C. j + 6 D. -j + 6

Mathematics
1 answer:
arlik [135]2 years ago
6 0

Answer:

C. j + 6

Step-by-step explanation:

2(2j + 3) - 3j

multiply each term in the parentheses by 2

2 x 2j + 2 x 3

calculate the product

4j + 6 -3j

collect like terms by subtracting their coefficients

(4 - 3)j

then subtract the numbers

1j

when the term has a coefficient of 1, it doesn't have to be written

j

then plug in the other number and that's your answer

j + 6

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Do all perpendicular lines have negative reciprocal slopes?
inna [77]

Not necessarily, the more correct definition is opposite reciprocal slopes.

The example used is how horizontal and vertical lines are parallel. Horizontal lines have a slope of 0, also written as 0/1. However, vertical lines have an undefined slope, which isn't necessarily negative. It has a slope of 1/0, which is undefined. In this case, the reciprocal isn't negative.

In all other cases (1 and -1, 2 and -1/2, etc.) yes, the perpendicular pairs are negative and reciprocal.

6 0
2 years ago
What is the recipricol of 1000​
Mrac [35]

The reciprocal of a number x is 1/x.

Let x = 1000

The reciprocal is 1/1000.

7 0
3 years ago
Read 2 more answers
A growth-mindset researcher plans to take an SRS of 200 teenagers from the population of teenagers in North America to see what
Sonbull [250]

Answer:

The mean of the sampling distribution of p is 0.75 and the standard deviation is 0.0306.

Step-by-step explanation:

Central Limit Theorem:

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

75% of teenagers in North America are pursuing a goal they have set for themselves.

This means that p = 0.75

Sample of 200.

This means that n = 200.

What are the mean and standard deviation of the sampling distribution of p?

By the Central Limit Theorem

Mean \mu = p = 0.75

Standard deviation s = \sqrt{\frac{0.75*0.25}{200}} = 0.0306

The mean of the sampling distribution of p is 0.75 and the standard deviation is 0.0306.

4 0
3 years ago
Write the fraction 7/10 as a sum of fraction three different ways
LUCKY_DIMON [66]
A . 2/10 + 5/10= 7/10
B. 3/10 + 4/10= 7/10
C. 6/10 + 1/10 =7/10
4 0
3 years ago
I need help. this is due in less than 10 min and i have no clue how to solve. any tips appreciated
babymother [125]

Answers:

  • a) x = 9
  • b) arc JK = 68
  • c) arc MJ = 112
  • d) arc LMK = 248

================================

Explanation:

Arcs JK and KL form a semicircle, so they add to 180 degrees

(arcJK) + (arcKL) = 180

(5x+23) + (17x-41) = 180

22x-18 = 180

22x = 180+18

22x = 198

x = 198/22

x = 9

Then you'll use this x value to find arc JK and arc KL

arc JK = 5x+23 = 5*9+23 = 68

arc KL = 17x - 41 = 17*9-41 = 112

Since central angles MNJ and KNL are vertical angles, this means minor arcs MJ and KL are congruent arcs. So arc MJ is also 112 degrees

Arc LMK is basically nearly everything of the full circle, but we exclude out the portion from L to K (the shorter distance)

arc LMK = (full circle) - (measure of minor arc LK)

arc LMK = 360 - 112

arc LMK = 248

8 0
3 years ago
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