Answer:
- 34 < x < 10
Step-by-step explanation:
Inequalities of the type | x | < a, always have a solution of the form
- a < x < a
given | x + 12 | + 5 < 27 ( subtract 5 from both sides )
| x + 12 | < 22, then
- 22 < x + 12 < 22 ( subtract 12 from all 3 intervals )
- 34 < x < 10
Answer:

Step-by-step explanation:
To write the quadratic in standard form, begin by writing it in vertex form

Where (h,k) is the vertex of the parabola.
Here the vertex is (-3,-2). Substitute and write:

To find a, substitute one point (x,y) from the parabola into the equation and solve for a. Plug in (0,7) a y-intercept of the parabola.

The vertex form of the equation is
.
To write in standard form, convert vertex form through the distributive property.

Answer:
10
Step-by-step explanation:
Given that Sasha has won 0 games in the 40 games she has played.
Let she needs to win x game in a row, so
Total game she played = 40 + x
The number of the game she won is x, which is 20% of the total game she played, so
x = 20% of (40+x)

Hence, she needs to win 10 games in a row.
Answer:

Step-by-step explanation:
The perimeter of the square base of a pyramid = 7.3 ft
The height of the pyramid, h = 6ft
The perimeter of a square is given by :
P = 4s, s is the side of square
7.3 = 4s
s = 1.825 ft
The volume of a pyramid is given by :

Here, l = b = 1.825 ft
So,

So, the volume of the pyramid is equal to
.