Answer:
The correct answer is the last option (d.)
Step-by-step explanation
Answer:
Step-by-step explanation:
If we are looking for the time(s) that the ball is at a height of 15, we simply sub in a 15 for the height in the position equation and solve for t:
and
Factor this however you factor a quadratic in class to get
t = .59 seconds and t = .85 seconds.
This means that .59 seconds after the ball was thrown into the air it was 15 feet off the ground. Then the ball reached its max height, gravity took over, and began pulling it back down to earth. The ball passes the height of 15 feet again on its way down after .85 seconds.
Answers are
Choice A) function is W(n) = 4n+4
Choice C) input values for the function are natural numbers
Choice G) figure 8 has 36 white tiles
There are only three correct answers
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Explanation:
Figure 1 has 1 red tile and 8 white tiles (9 total)
Figure 2 has 4 red tiles and 12 white tiles (16 total)
Figure 3 has 9 red tiles and 16 white tiles (25 total)
Figure 4 has 16 red tiles and 20 white tiles (36 total)
Things to notice
* The pattern counts for the red tiles are perfect squares (1, 4, 9, 16)
* The total number of tiles are also perfect squares (9, 16, 25, 36)
* The number of white tiles can be counted, but its much easier to use the formula W = T - R
W = number of white tiles
T = total number of tiles
R = number of red tiles
* The pattern for the white tile counts is 8,12,16,20 so we basically add on 4 each time. The formula is W(n) = 4n+4. Plug in n = 1 and it leads to W(n) = 8 as expected. Plug in n = 2 and it leads to W = 12 etc.
The input n is the number of the figure which is a natural number. Natural numbers are {1, 2, 3, 4, ...} which are counting numbers. The function is NOT continuous. We can't plug in n = 1.5 for instance. The input does not represent the number of white tiles as that is the output.
If we plugged in n = 6, then we get
W(n) = 4n+4
W(6) = 4*6+4
W(6) = 30
so figure 6 will have 30 white tiles (not 10)
Do the same for n = 8
W(n) = 4n+4
W(8) = 4*8+4
W(8) = 36
figure 8 has 36 white tiles
Answer:
9c^2
Step-by-step explanation:
12× fraction (-5c)(-3c^5) over (20c^4)
Multiply the top of the fraction
12× fraction 15c^6 over 20c^4
divide the top number and bottom number by 5
12× fraction 3c^6 over 4c
multiply 12 with the fraction
12/1 × 3c^2/4 = 36c^2/4
divide each side by 4
36c^2/4 ÷ 4 =9c^2/1
The answer is 9c^2.
<span>A function assigns each input exactly one output... x-values don't repeat<span>A and B are both functions</span></span>