A snorkeler dives for a shell on a reef. After entering the water, the diver descends 11/3 feet in one second. Write an equation that models the diver's position with respect to time.
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Answer:
f(t)=t²-12t+11
Step-by-step explanation:
1) Having an attentive reading, we can see from the picture two coordinate points (1,0) and (11,0).
These points, has coordinates for x and y. Since those y-coordinates are zero, we have x-intercepts. Or the zeros of a function, in a quadratic function. Those intercepts minus x values equals zero. These x-intercepts we'll rename it as t, for time.
2) Plugging it in and writing it as groups:
f(t) = returns in feet
t= for time
f(t) =(t-1)(t-11)
Distributing the factors multiplying (t-1) times (t-11), goes:
f(t) =t²-12t+11
x^2 -12x +11
We have the x intercepts so we can create the equation (x-1)(x-11). Multiply it and you get your answer
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Charlie got 24 more sweets than Adrian.
Work out the total amount of sweets.
Answers
Answer:
240 sweets total
Step-by-step explanation:
We know the ratio Adrian:Ben:Charlie=7:4:9. We can put one sweet as x:
- 7x+4x+9x=20x
- Charlie has 24 more sweets that Adrian– 9x-7x=2x=24
- So– x=12
- Now– 7(12)+4(12)+9(12)=20(12)=240
Check your work:
- 84:48:108
- 108-84=24
- 84+48+108=240
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y=|x|-6
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y = 5x -3
4%
6%
7%
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Answer:
About 3%
Step-by-step explanation:
3% of $167,000 is $5,010
5010 times the 20 years is 100200 add that to the 167000 and you get $267,200
The actual answer is about 2.4% but 3% is the closest.
b. 215 sections with 9 feet left over
c. 218 sections with 3 feet left over
d. 215 sections with 3 feet left over
Answers
To calculate this, divide the length of the rope (l1) by the length of the section (l2).
n - number of sections
n = l1/l2
l1 = 5,814 ft
l2 = 27 ft
n = 5,814 / 27 = 215.3 sections
215.3 sections can be written as 215 (whole) sections with 3 ft left over.