Answer:
x = -2
x=-12
Step-by-step explanation:
5 | x+7| +14 = 39
Subtract 14 from each side
5 | x+7| +14-14 = 39-14
5 | x+7| = 25
Divide each side by 5
5 | x+7| /5 = 25/5
| x+7| = 5
Make two equations, one positive and one negative
x+7 =5 x+7 = -5
Subtract 7 from each side
x+7-7 = 5-7 x+7-7 = -5-7
x = -2 x=-12
Answer:
B. Larger sample size and lower confidence level
Step-by-step explanation:
The margin of error of a confidence interval is given by the following formula:
In which 
is the standard deviation of the population and n is the size of the sample.
z is related to the confidence level. The higher the confidence level, the higher the value of Z.
So, the margin of error is direct proportion to the confidence level and inverse proportional to the sample size.
We want to decrease the margin of error.
So the correct answer is:
B. Larger sample size and lower confidence level
Answer:
y-intercept is (0,30); x-intercept is (52.5,0).
Step-by-step explanation:
Note that as x increases by 7 from -35 to -28, y decreases by 4 from 18 to 14. Thus, the slope of this line is
m = rise / run = -4/7.
Let's find the equation of the line. Start with the slope-intercept form:
y = mx + b. Use the slope m = -4/7 and the point (-28, 14) to find b:
14 = -(4/7)(28) + b, or
14 = -16 + b. Then b = 30, and the equation of the line in slope-intercept form is y = (-4/7)x + 30. The y-intercept is (0, 30).
Find the x-intercept by setting y=0 and solving the resulting equation for x:
y = (-4/7)x + 30 becomes (4/7)x = 30, and x = (7/4)(30) = 214, or 52.5.
The x-intercept is thus (52.5, 0).
Hope this helps with your questions :)
Answer:
<u>The correct answer is A. 3,120.</u>
Step-by-step explanation:
Let's solve the expression for x = -5 and y = 25, this way:
(5|x| - y³)/x
Replacing x and y, we have:
(5 * 5 - 25³)/-5 (Absolute value of -5 is 5 in the numerator but we keep it without changes in the denominator)
(25 - 15,625)/-5
-15,600/-5
3,120
<u>The correct answer is A. 3,120.</u>
