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Ivenika [448]
3 years ago
9

Can someone explain it to me?

Mathematics
1 answer:
marta [7]3 years ago
7 0
Top row: 0, 45, 90, 135, 180, 225, 270, 315, 360, 405, 450, 495, 540

Bottom row: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
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The table below shows values for functions f(x) = g(x) <br> What are the solutions to f(x) = g(x)?
MakcuM [25]
The solutions to f(x) = g(x) are where the x-values for which the output f(x) is equal to the output of g(x).

What I mean by this is for instance, you input 7 into f(x) and g(x) and you get the same answer, then 7 is a solution.

Here, we are looking in columns two and three to see which rows are equal. It looks like when you input 0 into both f(x) and g(x), you get 2, and when you input 1 into both f(x) and g(x), you get 3. Therefore, (0,2) and (1,3) are your solutions.

8 0
3 years ago
The deck of a bridge is suspended 275 feet above a river. If a pebble falls off the side of the bridge, the height, in feet, of
Ivenika [448]

Answer:

Our equation for the height is:

y(t) = 275 - 16*t^2.

a) To find the average velocity between two times, t1 and t2, (where t2 > t1) the equation is:

AV = \frac{y(t2) - y(t1)}{t2 - t1}

Then:

i) t1 = 4s, t2 = 4s + 0.1s = 4.1s

The average velocity is:

AV = \frac{(275 - 16*4.1^2) - (275 - 16*4^2)}{4.1 - 4} = \frac{16(4^2 - 4.1^2)}{0.1} = -129.6

And the units will be ft/s, so the average speed is:

-129.6 ft/s

The minus sign is because te pebble is falling down.

ii)  t1 = 4s, t2 = 4s + 0.05s = 4.05s

The average velocity is:

AV = \frac{(275 - 16*4.05^2) - (275 - 16*4^2)}{4.05 - 4} = \frac{16(4^2 - 4.05^2)}{0.05} = -128.8

So the average speed is -128.9 ft/s

iii)  t1 = 4s, t2 = 4s + 0.01s = 4.01s

The average speed is:

AV = \frac{(275 - 16*4.01^2) - (275 - 16*4^2)}{4.01 - 4} = \frac{16(4^2 - 4.01^2)}{0.01} = -128.16

The average speed is -128.16 ft/s.

b) The instantaneous velocity of the pebble after 4 seconds can be obtained by looking at the velocity equation, that is the derivative of the height equation.

v(t) = dy(t)/dt.

v(t) = -2*16*t + 0

Then the velocity at t = 4s is:

v(4s) = -32*4 = -128

The instantaneous velocity at t = 4s is -128 ft/s.

3 0
3 years ago
Nine friends are going to share 5 pounds of ice pop sticks equally. What fraction does each friend get?
gavmur [86]
D divide 5 from 9 to get d
3 0
3 years ago
Delany wants to find out the way her friends are spending their summer vacation. She surveys a large number of students at a mov
lara [203]
1. D. because if the students she surveyed had just left the movie theatre, meaning they were there to watch a movie, hence the conclusion that they like watching movies can be drawn. 2. D. because the same reason as number 1, the reporter only surveyed people that had shopped there, meaning that the people liked Forever 21 merchandise.
6 0
3 years ago
GIVING BRAINLIEST FOR BEST ANSWER!
umka21 [38]

Answer:

C

Step-by-step explanation:

5 * 3/4

5/1 * 3/4

15/4

7 0
2 years ago
Read 2 more answers
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