Unless you just want to give money to the ice cream truck, for 0 items, you will pay 0.
Since the price of each item is $0.77, for one item you will pay $0.77. (Is that a surprise?)
Then for two items, you will pay $0.77 for each one, or $0.77 + 0.77 = $1.54. You can also compute this by making use of the fact that multiplication is a shortcut for repeated addition. The price can be found by $0.77×2 = $1.54 = f(2).
Similarly, for 3 items, you can add $0.77 three times: $0.77 + 0.77 + 0.77 = f(3), or you can use multiplication: $0.77×3 = $2.31 = f(3).
a) Our table looks like
(x, f(x))
(0, 0)
(1, 0.77)
(2, 1.54)
(3, 2.31)
b) By now, I'm sure you have realized that to find the price of x items, you multiply 0.77 by x.
f(x) = 0.77x
The bathtub has dimensions 5 ft by 3 ft by 18 inches.
Note that 18 inches = 18/12 = 1.5 ft.
The volume of the bathtub is
V = 5*3*1.5 = 22.5 ft³
The bathtub is three-fourths (0.75) full of water. Therefore the volume of water is
0.75*22.5 = 16.875 ft³
The water is lost at the rate of 1 ft³/min.
If it takes x minutes to empty the bathtub, then
(1 ft³/min)*(x min) = (16.875 ft³)
x = 16.875 min
Answer: 16.875 minutes
The formula is y=mx+b
To get the slope or m, use this formula
(the second y minus the first y)/(the second x minus the first x)
Now set it up.
(10-7)/(2--1)
3/3=slope is 1.
y=1x+b
Insert one of the points for x and y.
i will do (-1,7)
7=1(-1)+b
7=-1+b
8=b
Insert this into the final equation:
y=1x+8
Try it out. If you're not sure, try both points. If it works, then you set it up correctly.
Answer:
1. 5/6 ≥ 2/3
2. 1/5 ≤ 2/8
3. 9/10 ≥ 6/8
4. I can't see it's out of the pic
5. 7/8 ≥ 5/10
6. 2/5 ≥ 2/6
7. 1/3 ≤ 3/8
8. I can't see it's out of the pic.
9. 8/10 ≥ 3/4
10. 3/8 ≤ 11/12
11. 2/3 ≤ 10/12
12. Can't see :(
13. 3/8 ≤ 7/8
14. 2/4 = 4/8
15. 6/8 ≥ 8/12
16. Can't see
Step-by-step explanation: All you have to do is divide the numerator by the denominator to make it into a decimal. For instance....
5/6 = approximately 0.83
I hope this helps you! It took forever....
Answer:
<u>(7,a) Where a ∈ R - {7}</u>
<u>OR</u>
<u>(-2,a) where a ∈ R - {-2}</u>
Step-by-step explanation:
The coordinates of the given line from the right to the left are:
(7,1) and (-2,1)
So, to make a right triangle, we need to make a right angle or by another words, we need to a make a perpendicular line to the given line (i.e: a vertical line parallel to the y-axis at one of the given points)
So, the third vertex must be on the line x=7 or x=-2
So, the coordinates of the third vertex is:
<u>(7,a) Where a ∈ R - {7}</u>
<u>OR</u>
<u>(-2,a) where a ∈ R - {-2}</u>
