What is the exponential function (0,25) (1,50) (2,100) (3,200) (4,400)

Mathematics

1 answer:

Rina8888 [55]3 years ago

4 0

Answer:

Step-by-step explanation:

If it is exponential dividing any term by the preceding term will be a constant, the common ratio or rate. 50/25=100/50...=2 The initial value, a, (at x=0) is 25 so the general form is

y=ar^x we have a=25 and r=2 so

y=25(2^x)

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Which question represents the line through (0,0) and (2,5)?

madam [21]

Answer:

y=5/2x

Step-by-step explanation:

The line needs to go through the points (0,0) and (2,5).

With y=5/2x, there is no y-intercept, so it starts on the origin, (0,0). With the slope 5/2, you would rise 5 (y) from the origin, and run 2 (x), which gives you the point (2,5).

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2 years ago

Does anybody know how to do this or at least part of it anything would really help!!

Sunny_sXe [5.5K]

Answer:

So the given equation is h= -5t^2+40t

the first question asks when it will be 75 meters above the ground. So plug in 75 for h and find t

75= -5t^2+40t

start by dividing everything by 5

15= -x^2 + 8x

then you can add x squared to both sides and subtract 8x

x^2 - 8x + 15 =0

then you can plug it into the quadratic formula, which is a pain to type so I did it on paper.

x = 5 or 3

so it will be 75 meters above the ground at 3 seconds and 5 seconds

Rewriting the equation

ok so I accidentally already factored it when I divided everything by 5...

I believe the answer here is x^2 - 8x + 15 =0

The meaning of the x intercepts is when h=0 or the object is 0 meters above the ground (basically when it starts and when it ends)

the maximum height is greater than 75 because it gets to 75 meters 3 seconds after it is thrown, and continues going higher before it comes back to 75 two seconds later.

The object is airborne for 8 seconds because the second x intercept is at (8,0)