The given set is {-1,0,1,2,3,4,5}
(notice the -2 and 6 are excluded)
the subset which contain positive factors of 5 is {1,5}
so the complement set would be
{-1,0,2,3,4) which matches with b)
If you formulate the question into a word equation it comes out:
2 grams fiber = .08 <span>× DRV
</span>↑ ↑ ↑ <span>↑</span> <span>↑
2 g fiber is 8% of the daily recommended value.
Now solve for DRV to find the daily recommended value:
2 g fiber/.08 = DRV
DRV = 25 g fiber</span>
Use proportions for all of them, for #1 use the proportion 12/30 = 9/a based on corresponding sides and then cross multiply. a=22.5 For #2 use the proportion y/35 = 64/40 based on corresponding sides and then cross multiply, y=56 For #3 use the proportion 42/? = 54/36 and then cross multiply, ?=28
Answer:
D. The rate of change for function B is greater than the rate of change for function A
Step-by-step explanation:
Function a has a slope (aka rate of change) of 3/3
I know this because we start at (-3, 0) then finish at (0, 3)
We added 3 to both the x value and the y value.
3/3 = 1, so we have a rate of change of 1 for function A
Now that we know this, we can write the equation out into slope intercept form.
We can get y = x + 3
The equation for function B is y = 5x + 5
The slope for function B is greater, therefore the rate of change for function B is greater than the rate of change for function A
56÷2=28
28-1=27
so the smaller number is 27
