Answer:
Machine B
Step-by-step explanation:
Since, Machine A covers 
square feet in 
hours,
Rate at which the Machine A is covering = 
= 
= 2.5 square feet per hour
Machine B covers 
square feet in 
hours,
Rate at which the Machine B is covering = 
= 
= 
= 3.33 square feet per hour
Therefore, Rate of Machine B is greater.
Answer:
is there any mistake in your question?
Step-by-step explanation:
(15x + 33x) / 3 = 5x + 11x = 16x
Answer:
-8/9 yw
Step-by-step explanation:
just divide the numbers by each other:D
<h3>
Answer: Choice C</h3>
{x | x < -12 or x > -6}
=========================================================
Explanation:
Let's solve the first inequality for x.
(-2/3)x > 8
-2x > 8*3
-2x > 24
x < 24/(-2)
x < -12
The inequality sign flips when we divide both sides by a negative value.
Let's do the same for the second inequality.
(-2/3)x < 4
-2x < 4*3
-2x < 12
x > 12/(-2)
x > -6
The conclusion of each section is that x < -12 or x > -6 which points us to <u>choice C</u> as the final answer.
Side note: The intervals x < -12 and x > -6 do not overlap in any way. There's a gap between the two pieces. We consider these intervals to be disjoint. The number line graph is below.
The vertex is at (2, 5).
To find the vertex, we first find the axis of symmetry; this is given by
x = -b/2a
For our equation, b = -16 and a = 4:
x = -(-16)/2(4) = 16/8 = 2
We substitute this back into our equation:
y = 4(2)² - 16(2) + 21 = 4(4) - 32 + 21 = 5
Therefore the vertex is at (2, 5).
