Answer:
D. She can check to see if the rate of change between the first two ordered pairs is the same as the rate of change between the first and last ordered pairs.
Step-by-step explanation:
Find the rate of change between first two ordered pairs and the second two ordered pairs:
1. Points (2,4) and (3,9). Rate of change:
2. Points (3,9) and (4,16). Rate of change:
The rate of change for the linear function must the same for each two points on the graph of the function. In this case, the reate of change differs, so this function is not linear and correct option is D.
2x + 8.....factor = 2(x + 4)
The percent is 115% if put the numbers into a fraction know when finding a percent you can make the numbers you have already into a fraction so the fraction you have is 230/200 because 200 IS 230 so the number that IS is on top of the infraction so it 230/200=x/100. there is a x because you don't know what the percent is ,also the total percent you can get is a 100% so the x on top of a hundred so you do cross multiplying so 230 times 100 divided by 200 equals 115
23. J
7,220 kids drink zero.
14,060 kids drink one
5,700 kids drink two
(multiply the total amount of kids by the percent (convert percent to decimal))
When added together, you get 26,980.
24. C
5,700 kids drink two
2,660 kids drink three
1,140 kids drink four
7,220 kids drink five or more
When added together, you get 16,720 kids.
Next set up a proportion.
38,000 total 30 total kids
------------------ = --------------------
16,720 kids x
For 38,000 to get to 30, you have to divide 38,000 by 1,266.67.
This means that you also have to divide 16,720 by 1,266.67.
This gets you 13.
Zeros are the x values which make the function equal to zero. Set it up as you would for a binomial with a constant multiplier "k" to account for the y-intercept (0, -5) given.
f(x) = k(x-2)(x-3)(x-5)
Use the y-intercept (0,-5) to solve for k.
-5 = k(0-2)(0-3)(0-5)
-5 = -30k
-5/-30 = k
1/6 = k
The cubic polynomial function is then ..
f(x) = (1/6)(x-2)(x-3)(x-5)
Linear factors are the linear (line) expressions you can factor out of the polynomial. They are (x-2), (x-3) and (x-5).
