The volume of the box is
.. V = (90 cm)*(45 cm)*(45 cm) = 182,250 cm³
The empty 15% of the volume is then
.. empty volume = 0.15*182,250 cm³ = 27,337.5 cm³
This will require
.. (empty volume)/(volume / bag) = 27,337.5 cm³ / (28,316 cm³/bag) ≈ 0.97 bag
to fill.
Selection A. 1 bag is appropriate.
Answer:
Here's one way to do it
Step-by-step explanation:
1. Solve the inequality for y
5x - y > -3
-y > -5x - 3
y < 5x + 3
2. Plot a few points for the "y =" line
I chose
\begin{gathered}\begin{array}{rr}\mathbf{x} & \mathbf{y} \\-2 & -7 \\-1 & -2 \\0 & 3 \\1 & 8 \\2 & 13 \\\end{array}\end{gathered}
x
−2
−1
0
1
2
y
−7
−2
3
8
13
You should get a graph like Fig 1.
3. Draw a straight line through the points
Make it a dashed line because the inequality is "<", to show that points on the line do not satisfy the inequality.
See Fig. 2.
4. Test a point to see if it satisfies the inequality
I like to use the origin,(0,0), for easy calculating.
y < 5x + 3
0 < 0 + 3
0 < 3. TRUE.
The condition is TRUE.
Shade the side of the line that contains the point (the bottom side).
And you're done (See Fig. 3).
To find an area of a triangle you do 1/2 x base x height.
Answer:
C. y = 2 (x + 3)³ − 4
Step-by-step explanation:
y = x³
Stretch vertically by 2.
y = 2x³
Shift horizontally 3 units to the left.
y = 2 (x + 3)³
Shift vertically 4 units down.
y = 2 (x + 3)³ − 4