1 Name the shapes that are being described. a I have three sides that are all the same length. I have three equal angles. Thave
1 answer:
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Answer:
Julio travel <u>3 hours</u> by biking and <u>4 hours</u> by walking.
Step-by-step explanation:
Given:
Julio started biking to the park traveling 8 mph, after some time the bike got a flat so Julio walked the rest of the way, traveling 7 mph.
If the total trip to the park took 7 hours and it was 52 miles away.
Now, to find the time Julio travel at each speed.
The speed travelled by the bike = 8 mph.
The speed travelled by the walking = 7 mph.
Let the time Julio travel with bike be
And the time Julio travel by walking be
As, given Julio started biking to the park traveling, after some time the bike got a flat so Julio walked the rest of the way,
Thus, the total time taken:
So, the distance travelled by bike:
Speed × time
And, the distance travelled by walking:
Speed × time
Now, the total distance travelled by Julio:
Substituting the value of from equation (1) we get:
<em>Subtracting both sides by 49 we get:</em>
<em>The time Julio travelled with bike = 3 hours.</em>
Now, to get the time Julio travelled by walking by substituting the value of :
<em>The time Julio travelled by walking = 4 hours.</em>
Therefore, Julio travel 3 hours by biking and 4 hours by walking.
9514 1404 393
Answer:
(a, b, c) = (-0.425595, 11.7321, 2.16667)
f(x) = -0.425595x² +11.7321x +2.16667
f(1) ≈ 13.5
Step-by-step explanation:
A suitable tool makes short work of this. Most spreadsheets and graphing calculators will do quadratic regression. All you have to do is enter the data and make use of the appropriate built-in functions.
Desmos will do least-squares fitting of almost any function you want to use as a model. It tells you ...
a = -0.425595
b = 11.7321
c = 2.16667
so
f(x) = -0.425595x² +11.7321x +2.16667
and f(1) ≈ 13.5
_____
<em>Additional comment</em>
Note that a quadratic function doesn't model the data very well if you're trying to extrapolate to times outside the original domain.
