Answer:
x = 6, y =3
Step-by-step explanation:
4x-7y=3
x-7y=-15
Multiply the first equation by -1
-4x+7y=-3
Then add this to the second equation to eliminate y
-4x+7y=-3
x-7y=-15
------------------
-3x +0y = -18
-3x = -18
Divide by -3
-3x/-3 = -18/-3
x = 6
Now find y
x -7y = -15
6 -7y = -15
Subtract 6 from each side
6-7y-6 = -15-6
-7y = -21
Divide by -7
-7y/-7 = -21/-7
y =3
Answer:
AB : 
PT : 
Step-by-step explanation:
The line AB passes through A(-2,4) and B(-8,-6) points.
Therefore, the slope of the line AB will be 
(Answer)
Again line PT passes through P(3,-1) and T(8,-2) points.
Therefore, the slope of the line PT will be 
. (Answer)
Here we have applied the formula of slope of a straight line passing through the points 
and 
as given by 
.
Answer:4) t+uv
Step-by-step explanation:
Step-by-step explanation:
![{ \sqrt[3]{8} }^{ \frac{1}{4}x } = {2}^{ \frac{1}{4} x} = {8}^{ \frac{1}{3} \times \frac{1}{4}x } \\ = {8}^{ \frac{1}{12} x} \\ = { \sqrt[12]{8} }^{x}](https://tex.z-dn.net/?f=%20%7B%20%5Csqrt%5B3%5D%7B8%7D%20%7D%5E%7B%20%5Cfrac%7B1%7D%7B4%7Dx%20%7D%20%20%3D%20%20%20%20%7B2%7D%5E%7B%20%5Cfrac%7B1%7D%7B4%7D%20x%7D%20%20%3D%20%7B8%7D%5E%7B%20%20%20%5Cfrac%7B1%7D%7B3%7D%20%5Ctimes%20%5Cfrac%7B1%7D%7B4%7Dx%20%7D%20%20%20%20%5C%5C%20%20%3D%20%20%7B8%7D%5E%7B%20%5Cfrac%7B1%7D%7B12%7D%20x%7D%20%20%5C%5C%20%3D%20%20%20%7B%20%5Csqrt%5B12%5D%7B8%7D%20%7D%5E%7Bx%7D%20)
Answer:
Answer =b. Since the p-value > α, do not reject the null hypothesis.
Step-by-step explanation:
The null hypothesis is to be rejected if the p- value is less than the given significant level. In this case, the p-value is 0.418 and level of significance α=0.05; the p-value is greater than level of significance therefore we do not reject the null hypothesis.
