Move all terms to one side
4w^2 + 49 + 28w = 0
Rewrite 4w^2 + 49 + 28w in the form a^2 + 2ab + b^2, where a = 2w and b = 7
(2w)^2 + 2(2w)(7) + 7^2 = 0
Use the Square of Sum: (a + b)^2 = a^2 + 2ab + b^2
(2w + 7)^2 = 0
Take the square root of both sides
3w + 7 = 0
Subtract 7 from both sides
2w = -7
Divide both sides by 2
<u>w = -7/2</u>
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Answer:
First part: 2 miles.
Second part: 45 minutes
Third part: 8 mph.
Step-by-step explanation:
We can divide this question into 3 parts.
Begin by solving for the distance traveled after 15 minutes by creating a ratio:

Cross multiply:
20 · 15 = 150 · x
300 = 150x
300/150 = 150x/150
x = 2 miles.
2nd part: How long it took her to ride 6 miles.
Set up another ratio similar to the one used before:

Cross multiply:
20 · x = 6 · 150
20x = 900
20x/20 = 900/20
x = 45 minutes.
3rd part:
For this part, we will need to convert from minutes to hours.

Therefore, her speed is 8 mph.
A graph shows ...
... absolute minimum: 5, at x=-1 and x=1
... absolute maximum: 8, at x=2
Answer:
rational
Step-by-step explanation:
its decimal expansion terminates after 9 and it can also be represented as fraction.