Answer:
y = 3(x+1)^2 - 4
Step-by-step explanation:The general form of the equation of a quadratic function whose vertex is (h,k) and whose leading coefficient is a is:
y - k = a(x-h)^2, or
y = a(x-h)^2 - k
Substituting the coefficients of the vertex (-1, -4), we get:
y = a(x + 1)^2 - 4
Substituting the coordinates of the given point, (1,8), we get:
8 = a(1+1)^2 - 4, which simplifies to:
8 = a(2)^2 - 4, or
8 = 4a - 4. Then 4a = 12, and a = 3.
Thus, the desired equation is y = 3(x+1)^2 - 4 (answer j).
Answer:

Step-by-step explanation:
1) Convert
to improper fraction. Use this rule:
.

2) Simplify 4 * 3 to 12.

3) Simplify 12 + 1 to 13.

4) Convert
to improper fraction. Use this rule:
.

5) Simplify 1 * 3 to 3.

6) Simplify 3 + 2 to 5.

7) Join the denominators.

8) Simplify.

9) Convert to mixed fraction.

(Decimal Form: 2.666667)
Thank you,
Eddie
Answer:
See Below.
Step-by-step explanation:
We want to show that the function:

Increases for all values of <em>x</em>.
A function is increasing whenever its derivative is positive.
So, find the derivative of our function:
![\displaystyle f'(x) = \frac{d}{dx}\left[e^x - e^{-x}\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%27%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%5Be%5Ex%20-%20e%5E%7B-x%7D%5Cright%5D)
Differentiate:

Simplify:

Since eˣ is always greater than zero and e⁻ˣ is also always greater than zero, f'(x) is always positive. Hence, the original function increases for all values of <em>x.</em>
Answer:
35
Step-by-step explanation:
if 1 man is 37
and 1 man is 43
the 3rd man is 45
they add to 115
to average 40, we gotta add 35
this old mans giving u that!