Answer:
z = 0
Step-by-step explanation:
3 (z + 7) = 21
3z + 21 = 21
3z = 0
z = 0
Answer:
- 21
Step-by-step explanation:
The minimum value occurs at the vertex of the function
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
Given
f(x) = x² - 6x - 12
add/ subtract ( half the coefficient of the x- term)² to x² - 6x
f(x) = x² + 2(- 3)x + 9 - 9 - 12
= (x - 3)² - 21
with vertex = (3, - 21 )
The minimum is the value of k, that is minimum value = - 21
Answer:
4 or 5
Step-by-step explanation:
Answer:
s = 5.1
Step-by-step explanation:

Multiply both sides of the equation by 10

Expand

Subtract 28 from both sides

Simplify

Divide both sides of the equation by 10

Simplify

Answer:

Step-by-step explanation:
The terms of the sequence are:

We can rewrite the terms in factored form to get;

We can see that the subsequent terms are obtained by multiplying the previous term by
. This is called the common ratio.
Therefore the first term of this geometric sequence is
and the common ratio is
.
The nth term of a geometric sequence is given by:
.
Let us substitute the first term, the common ratio, and
to obtain:



