1 - 2x < 11
-2x < 10
x < -5
Jack's mistake is that he was supposed to divide by -2 on both sides of the inequality, but he did not do that. By dividing by -2, he will get x < -5.
Answer:
Dan is correct
Step-by-step explanation:
From the question, we have:
Required
The average
The average hour is calculated using:
So, we have:
<em>Dan calculated the mean as 3; while Bret calculated the mean as 4.</em>
<em>Hence, we can conclude that Dan s correct</em>
Answer: = 240 mph.
Step-by-step explanation:
Let x = speed of the plane.
t= time taken
As per given, we have
[Time = distance / speed]
From (i) and (ii), we get
Hence, the speed of the plane = 240 mph.
Answer:
dh = 3 *dV / 130
Step-by-step explanation:
Given:
- volume of punch in bottle = 65 ounce
- volume of punch = v
- increase in height of punch level on dispenser = 1.5 in
Find:
- The change in height of punch in the dispenser in inches, Δh, in terms of the change in the volume of punch in the dispenser in ounces, Δv.
Solution:
We will assume a linear relationship between the increase in punch level dispenser and the increase in volume of dispenser.
h(v) = m*v + h
Where, m is change of height with respect to volume. Hence,
m = dh / dV = 1.5 / 65 = 3 / 130 in / ounce
Hence,
dh = 3 *dV / 130
Expand (x - 5)^2
(x - 5)^2 = (x - 5)(x - 5)
Multiply all the terms in the first parenthesis to all the terms in the 2nd:
x * x = x^2
x * -5 = -5x
-5 * x = -5x
-5 * -5 = 25
So we have:
x^2 - 5x - 5x + 25
Combine like terms:
x^2 - 10x + 25
Plug it back in:
y = (x - 5)^2 - 2
y = x^2 - 10x + 25 - 2
Combine like terms:
y = x^2 - 10x + 23
