Mathematics, 22.08.2019 11:30, bazsinghnagoke

You take measurements of the distance traveled by an object that is increasing its speed at a constant rate. the distance traveled as a function of time can be modeled by a quadratic function.
a. write a quadratic function that models distances of 10 ft at 1 sec, 30 ft at 2 sec, and 100 ft at 4 sec.
b. find the zeros of the function.
c. describe what each zero represents for this real-world situation.
if anyone can with even part of this, it would be greatly appreciated!

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A)

Quadratic function: s = at² + bt + c

where s = distance, t = time

when s = 10, t = 1. when s = 30, t = 2, when s = 100, t = 4

Substituting these:

s = at² + bt + c

10 = a(1)² + b*1 + c

10 = a + b + c a + b + c = 10 (a)

30 = a(2)² + b*2 + c

30 = 4a + 2b + c 4a + 2b + c = 30(b)

100 = a(4)² + b*4 + c

100 = 16a + 4b + c 16a + 4b + c = 100(c)

So we have three unknown equations:

a + b + c = 10 (a)

4a + 2b + c = 30(b)

16a + 4b + c = 100(c)

So you can input these in a function calculator.

a = 5, b = 5, c = 0

Therefore s = at² + bt + c, s = 5t² + 5t

b)

The zeros of s = 5t² + 5t, is when s = 0.

5t² + 5t = 0

5t(t + 1) = 0

5t = 0 or t + 1 = 0

t = 0/5 t = 0 - 1

t = 0 t = -1

c)

Therefore at time = 0, time = -1.

In real life time = 0 is just before timing.

At t = -1, is 1 second before timing.

answered: Guest

a) 0.25x times 3. (could be wrong on equation.)

b) 2.25 pound of dark chocolate. (can i eat all the chocolate? plz? anyway, again, could be wrong, but i hope im right. all the chocolate together should be 5.25 pounds)

have a good day!

answered: Guest

answer set (b) 0.5, 3/4 80% is in order from least to greatest.

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form. typically, the best form in which to evaluate rational numbers is in decimals. in order to convert a percent to a decimal, you would divide the given percentage by 100. you can also accomplish the conversion by moving the decimal point over two places to the left. for example, the decimal value of 80% is 80/100, or 0.8. in order to convert a fraction to a decimal, you need to divide the numerator by the denominator. for example, 3/4 is 0.75. so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.