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GuDViN [60]
3 years ago
15

What is the relationship between the following ordered pairs 0,6 2,5 4,4 and 6,3 keep in mind it will be a two step process

Mathematics
1 answer:
aliya0001 [1]3 years ago
5 0
Find the first rate of change...

(5-6)/(2-0)=(4-5)/(4-2)=(3-4)/6-4)=-1/2

So this equation has a constant velocity which means that it is linear and can be expressed as y=mx+b where m=slope=velocity and b=y-intercept, value of y when x=0...we saw earlier that the velocity or slope is -1/2 so:

y=-x/2+b, and we can use any point to solve for b, I'll use (6,3)

3=-6/3+b

3=-2+b

b=5

So the relationship if the function:

y=-x/2+5  or more neatly...

y=(10-x)/2
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can someone pls help me? i have no idea what to do. pls show the work steps for the questions. i will mark u as
tiny-mole [99]

Ok, so the question is based on geometric progression. Remember, the formula for calculating the nth-term of a geometric progression is: a*r^{n-1}. The a in the expression stands for the 1st term of the sequence, and r is the common ratio of the elements of the sequence. Now let's take a look at the problem.

"A ping pong ball has a 75% rebound ration". We can infer that our common ratio, r, is 75% which is 0.75.

"When you drop it from a height of k feet...", this means the first height you drop it from, a.k.a, the first term.

Now going back to the expression, the nth-term = a*r^{n-1}, we can substitute our common ration, 0.75 with r, and our 1st term, k, with a. This becomes: k * 0.75^{n-1}. This becomes our expression.

a. The highest height achieved by the ball after six bounces. Our nth-term here is 6, so let's use our expression to find the 6th term. n_{6} = 235 * 0.75^{6-1} = 235*0.75^{5} = 235*0.2373 = 55.7655ft

b. The total distance travelled by the ball when it strikes the ground for the 12th time. This involves the use of the sum of elements in the geometric progression. The formula for that is \frac{a(1 - r^{n})}{1-r}, provided that r is less than 1, which it is in this case, since 0.75 is less than one. Our nth-term here is 12, so we substitute.

\frac{235(1-0.75^{12})}{(1-0.75)} = 910.2242ft

6 0
3 years ago
Find the value of a and explain
Irina-Kira [14]

Answer:

D

Step-by-step explanation:

The triangle is an isosceles triangle which means that two sides are the same, A is the same size of the equal side so A is D.

3 0
3 years ago
Read 2 more answers
A jar contains 8 red marbles, 10 blue marbles, and 2 yellow marbles. One marble is chosen at random. The color is recorded in th
NeX [460]

Answer:

blue is more likely to be chosen because there are more of them than the other colors

Step-by-step explanation:

6 0
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Aflati 2 numere stiind ca sunt direct proporționale cu 5 și 3 și suma lor este 100
aleksandrvk [35]

Answer:

idk

Step-by-step explanation:

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3 years ago
How to find the rate of change over an interval when given a graph
inn [45]

Answer:

(y2-y1)/(x2-x1)

Step-by-step explanation:

Using two coordinates, you can just plug in the corresponding (x,y) coordinates and you will get the slope, which is the rate of change over an interval

6 0
3 years ago
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