Answer:
And the real value for this case is y=14. The residual is defined as:
Replacing we got:
And the best answer would be:
-2
Step-by-step explanation:
For this case we know that the best fit line for the relationship between x and y is given by:
And we know that an individual in the dataset has a score of 10 on the x-variable and a score of 14 on the y-variable. So then we can find the estimated value like this:
And the real value for this case is y=14. The residual is defined as:
Replacing we got:
And the best answer would be:
-2
Answer:
x = -1 and x = 5
Step-by-step explanation:
<em>What are the solutions of the equation (x – 3)² + 2(x – 3) -8 = 0? Use u substitution to solve.</em>
<em />
(x – 3)² + 2(x – 3) -8 = 0 -------------------------------------------------------(1)
To solve this problem, we will follow the steps below;
let u = x-3
we will replace x-3 by u in the given equation:
(x – 3)² + 2(x – 3) -8 = 0
u² + 2u -8 = 0 ----------------------------------------------------------- --------------(2)
We will now solve the above quadratic equation
find two numbers such that its product gives -8 and its sum gives 2
The two numbers are 4 and -2
That is; 4×-2 = -8 and 4+(-2) = 2
we will replace 2u by (4u -2u) in equation (2)
u² + 2u -8 = 0
u² + 4u - 2u -8 = 0
u(u+4) -2(u+4) = 0
(u+4)(u-2) = 0
Either u + 4 = 0
u = -4
or
u-2 = 0
u = 2
Either u = -4 or u = 2
But u = x-3
x = u +3
when u = -4
x = u + 3
x = -4 + 3
x=-1
when u = 2
x = u + 3
x = 2 + 3
x=5
Therefore, x = -1 and x =5
x
Answer:
Basically, the measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles. It's significance for solving angles of a triangle is the measure of angle D is equivalent to the sums of A & B.
Step-by-step explanation:
Answer:
2,
Step-by-step explanation:
The vertex is the very highest or very lowest point. X coordinates are listed first, then Y.
Answer:
r = 3x + 1
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( r is the radius )
Here
πr² = π(9x² + 6x + 1) ← divide both sides by π
r² = 9x² + 6x + 1 ← perfect square
r² = (3x + 1)² , thus
r = 3x + 1
