Answer:
so x + 2x+10 + 3x is 6x+10 then set it to equal 142. x = 22 quick maths and then just set this to every side
so
shortest side:
22
medium:
54
longest: 66.
hope this helped, Mark branliest!
<u>Rectangle A</u>
P = 2l + 2w
P = 2(3x + 2) + 2(2x - 1)
P = 2(3x) + 2(2) + 2(2x) - 2(1)
P = 6x + 4 + 4x - 2
P = 6x + 4x + 4 - 2
P = 10x + 2
<u>
Rectangle B</u>
P = 2l + 2w
P = 2(x + 5) + 2(5x - 1)
P = 2(x) + 2(5) + 2(5x) - 2(1)
P = 2x + 10 + 10x - 2
P = 2x + 10x + 10 - 2
P = 12x + 8
<u>Rectangle B - Rectangle A</u>
(12x + 8) - (10x + 2)
12x - 10x + 8 - 2
2x + 6
The correct answer is B.
Answer: 1) 
2) see graph
3) Choose one color from the graph
4) D: x ≥ -4
R: y ≥ 0 for 
or y ≤ 0 for 
<u>Step-by-step explanation:</u>
1) To find the inverse, swap the x's and y's and solve for y:
Given: y = x² - 4
Swap: x = y² - 4
x + 4 = y²
2) see attachment. Red and Blue combined creates the graph of the inverse.
3) Choose either the positive (red graph) or the negative (blue graph).
red graph: 
blue graph: 
4) Domain reflects the x-values of the function. The x-values for the red graph is the same as the blue graph so the answer will be the same regardless of which equation you choose.
Domain: x ≥ 0
Range reflects the y-values of the function. The y-values differ between the positive and negative inverse functions. <em>Positive is above the x-axis. Negative is below the x-axis.</em>
Range (red graph): y ≥ 0 for
Range (blue graph): y ≤ 0 for
Answer:
Correct option (B).
Step-by-step explanation:
A 95% confidence interval for a population parameter implies that there is 0.95 probability that the population parameter is contained in that interval.
Or, if 100, 95% confidence intervals are created then 95 of those intervals would contain the population parameter with probability 0.95.
In this question the 95% confidence interval was created for population proportion of all United States citizens who were optimistic about the economy.
Then this 95% confidence interval implies that if 100 such confidence intervals were created then 95 of those would consist of the true proportion of US citizens who were optimistic about the economy..
Thus, the correct option is (B).
