The slopes of the relationships are given as follows:
6. 5.
7. 1.
<h3>What is the complete question?</h3>
The problem is incomplete, as the tables are not readable, but researching it on a search engine, we find that:
- For item 6, we have points (2,8) and (6,28).
- For item 7, we have points (-6,5) and (4,10).
<h3>How to find the slope of a line given two points?</h3>
Given two points in the format (x,y), the slope of the line is given by change in y divided by change in x.
Hence, the slopes for each problem are given as follows:
6. m = (28 - 8)/(6 - 2) = 20/4 = 5.
7. m = (10 - 5)/(4 - (-6)) = 10/10 = 1.
More can be learned about the slope of a line at brainly.com/question/24808124
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Answer:
40
Step-by-step explanation:
We have an original price p
We mark them up by 50%
p + p*50%
Changing to decimal form
p+.50p = 1.5p
The new price is 60 dollars
1.5p = 60
Divide each side by 1.5
1.5p/1.5 = 60/1.5
p =40
The original price is 40
Answer:
x = π/3, x = 5π/3, x = 4π/3
Step-by-step explanation:
Let's split the given equation (2cosx-1)(2sinx+√3 ) = 0 into two parts, and solve each separately. These parts would be 2cos(x) - 1 = 0, and 2sin(x) + √3 = 0.
Remember that the general solutions for cos(x) = 1/2 are x = π/3 + 2πn and x = 5π/3 + 2πn. In this case we are given the interval 0 ≤ x ≤2π, and therefore x = π/3, and x = 5π/3.
Similarly:
The general solutions for sin(x) = - √3/2 are x = 4π/3 + 2πn and x = 5π/3 + 2πn. Therefore x = 4π/3 and x = 5π/3 in this case.
So we have x = π/3, x = 5π/3, and x = 4π/3 as our solutions.
4/3
explanation : just write it in fraction form
