Answer:
(-4,5)
*View attached graph*
Step-by-step explanation:
y = -2x - 3
4y + x = 16
4y + x = 16
4(-2x - 3) + x = 16
-8x - 12 + x = 16
-7x - 12 = 16
+12 + 12
-7x = 28
/-7 /-7
x = -4
4y + x = 16
4y + (-4) = 16
4y - 4 = 16
+ 4 + 4
4y = 20
/4 /4
y = 5
(x,y) -> (-4,5)
Hope this helps!
Answer: 
Step-by-step explanation:
Given : Sample size : n= 36 , which is a large sample (n>30) so the test applied here is z-test.
Significance level : 
Using Standard normal table , Critical value : 
Sample mean : 
Standard deviation: 
The confidence interval for population means is given by :-
i.e.
Hence, the 95 percent confidence interval for the fill rate =
Answer:
<h2><em><u>
First box and last box.</u></em></h2>
Step-by-step explanation:
<h2><em><u>
It is the first box.</u></em></h2>
Distribute 7 to the first number
7 * -3/4 = -21/4
-21/4 = 5 -1/4
Distribute 7 to the second number
7 * -3
= -21
Put the numbers together
<h2><em><u>
5 -1/4x -21 is the answer.</u></em></h2>
<h2><em><u>
It is also the last box.</u></em></h2>
They separated the parenthesis.
So it is still 7 * -3/4
and
7*-3.
Hope this helps,
Kavitha
Answer:
the equation | 5x + 10| = -7 has no solution for x ∈ R.
Step-by-step explanation:
Given the absolute value equation
| 5x + 10| = -7
- We know that absolute value is always positive.
Reason:
The reason is that the absolute value is the distance from the number 0. Hence, it can not be less than or equal to a negative number.
Conclusion:
Therefore, we conclude that the absolute value of any number would be either 0 or positive as it can not less than or equal to a negative number.
Therefore, the equation | 5x + 10| = -7 has NO SOLUTION for x ∈ R.
