Answer:
- A 2-column table with 3 rows. Column 1 is labeled number of cans with entries 5, 15, 20. Column 2 is labeled total weight (in pounds) with entries 4, 12, 16.
- On a coordinate plane, the x-axis is labeled number of cans and the y-axis is labeled total weight (in pounds. A line goes through points (5, 4) and (15, 12).
Step-by-step explanation:
<u>Statement 1</u>
If 3 cans of beans weigh 2.4 pounds
Then 1 Can will weigh (2.4 ÷ 3)=0.8 Pounds
If y is the total weight of x number of cans, then: y=0.8x
<u>Statement 2</u>
If x=5, then y=0.8(5)=4
If x=15, then y=0.8(15)=12
If x=20, then y=0.8(20)=16
Therefore the below statement applies:
A 2-column table with 3 rows. Column 1 is labeled number of cans with entries 5, 15, 20. Column 2 is labeled total weight (in pounds) with entries 4, 12, 16.
<u>Statement 3</u>
From the pair of points above, we have (5,4) and (15,12). Therefore if on a coordinate plane, the x-axis is labeled number of cans and the y-axis is labeled total weight (in pounds.) A line goes through points (5, 4) and (15, 12).
Answer:
36 cups of Chex total.
Step-by-step explanation:
Well, he will obviously be using 12 cups of pretzels, so let's set that aside. For every cup of pretzels, there are 3 cups of chex. So, multiply 3x12. That will give you how much chex you will need.
Question 1
Because the period is 2π, and the amplitude is 1obtain
f(x) = sin(x)
Because the horizontal shift is π, obtain
f(x) = sin(x - π)
Because the vertical shift is -4, obtain
f(x) = sin(x - π) - 4
Answer: 1. f(x) = sin(x - π) - 4
Question 2
The radius is 36/2 = 18 in.
1 revolution (360°) is the circumference, which is
2π(18) = 36π in
When the revolution is 62°, the distance traveled is
(62/360)*(36π) = (31/5)π in
Answer: 3. (31π)/5
Question 3.
Consider f(x) = 3cos(2x-π) - 1
f(0) = 3cos(-π) - 1 = -4
f(π/2) = 3cos(0) - 1 = 2
Rate of change = (2+4)/(π/2) = 12/π
From the graph, the rate of change of g(x) is
3/(π/2) = 6/π
Consider h(x) = sin(x) - 4
h(0) = 0 - 4 = -4
h(π/2) = 1 - 4 = -3
Rate of change = (-3+4)/(π/2) = 2/π
Therefore h(x) has the smallest rate of change
Answer: h(x)
Jackets = 3
Shirt = 6
Ties = 8
Pants = 4
Number of combination = 3 x 6 x 8 x 4 = 576
Answer: There are 576 possible combinations.
