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xxTIMURxx [149]
3 years ago
14

What is the y-intercept in the equation “y=4x-3”?

Mathematics
1 answer:
vodka [1.7K]3 years ago
7 0
The y-intercept is always the number at the end of a standard slope equation, so in your case, it’s - 3
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A ball is thrown into the air with a velocity of 34 ft/s. It's height in feet after t seconds is given by y=34t-26(t)^2. Find th
kkurt [141]

Answer:

The average velocity of the ball at the given time interval is -122.3 ft/s

Step-by-step explanation:

Given;

velocity of the ball, v = 34 ft/s

height of the ball, y = 34t - 26t²

initial time, t₀ = 3 seconds

final time, t = 3 + 0.01 = 3.01 seconds

At t = 3 s

y(3) = 34(3) - 26(3)² = -132

The average velocity of the ball in ft/s is given as;

V_{avg} = \frac{y(3.01)-y(3)}{3.01 -3}\\\\V_{avg} = \frac{34(3.01)-26(3.01)^2-y(3)}{3.01 -3}\\\\V_{avg} = \frac{-133.223-y(3)}{0.01}\\\\V_{avg} = \frac{-133.223-(-132)}{0.01}\\\\V_{avg} =\frac{-1.223}{0.01}\\\\V_{avg} = -122.3 \ ft/s

Therefore, the average velocity of the ball at the given time interval is -122.3 ft/s

8 0
3 years ago
Find the equivalent expression using the same bases (97*59)^9
irina [24]

Answer:

Exact form : 5723^9

Decimal form : 6.58587848 • 10^33

Step-by-step explanation: Evaluate.

Hope this helps you out! ☺

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