Answer:
y = (x + 8)² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square
add/subtract (half the coefficient of the x- term )² to x² + 16x
y = x² + 2(8)x + 64 - 64 + 70
= (x + 8)² + 6 ← in vertex form
Answer:x = 1
Step-by-step explanation:
3x + x/4 = x + 3/4
Subtract x from each side
2x + x/4 = 3/4
Times each side by 4
The 4 beneath the x cancels out
3/4 x 4 = 3
2x + x = 3
3x = 3
Divide each side by 3
x = 1
Answer:
6 ≤ x ≤ 12
Step-by-step explanation:
Instead of solving the area as 1.5*4x, you would do 6*x (multiply 1.5 by 4 and divide 4x by 4).
Then, you can just use division to find the answer.
36/6=6
72/6=12
And since 36≤A≤72, the area can be any number between 36 and 72, so x can be any number between 6 and 12.
The machines represent equivalent expressions.
The output produced by both machines is 372
The equation represented on machine A is:
The equation represented on machine B is:
Where: x and y represent the inputs and the outputs, respectively
When the outputs are the same, it means:
So, we have:
Open brackets
Collect like terms
Divide both sides by 2
Substitute 39 for x in
Hence, the output produced by both machines is 372
Read more about equivalent expressions at:
brainly.com/question/15715866
