Let z be any number (like x would be)
if we set z equal to 2x-6y, then we get z = 2x-6y
The system
2x-6y = 8
2x-6 = 3
turns into this new system
z = 8
z = 3
but z is a single number. It can't be both 8 and 3 at the same time. So there are no solutions
Answer:
3^2 + 112 = 22x
9 + 112 = 22x
121 = 22/22x
121/22 = x
5.5 = x
Step-by-step explanation:
Answer:
95% Confidence interval for y
= (-9.804, -5.979)
Lower limit = -9.804
Upper limit = -5.979
Step-by-step explanation:
^y= 2.097x - 0.552
x = -3.5
Standard error = 0.976
Mathematically,
Confidence Interval = (Mean) ± (Margin of error)
Mean = 2.097x - 0.552 = (2.097×-3.5) - 0.552 = - 7.8915
(note that x=-3.5)
Margin of Error is the width of the confidence interval about the mean.
It is given mathematically as,
Margin of Error = (Critical value) × (standard Error of the mean)
Critical value for 95% confidence interval = 1.960
Standard Error of the mean = 0.976
95% Confidence Interval = (Mean) ± [(Critical value) × (standard Error of the mean)]
CI = -7.8915 ± (1.960 × 0.976)
CI = -7.8915 ± 1.91296
95% CI = (-9.80446, -5.97854)
95% Confidence interval for y
= (-9.804, -5.979)
Hope this Helps!!!
Answer:
D. 
Step-by-step explanation:
We have been given an image of a scalene triangle. We are asked to find the equation that can be used to find the value of “b".
We know that perimeter of a triangle is sum of three side lengths of the triangle.
Upon adding the measure of side lengths for our given triangle, we will get:

Combining like terms we will get,

Substituting the value of perimeter and 'a' in above equation we will get:



Upon looking at our given choices, we can see that option D is the correct choice.