If you think your smart or at a high rank then answer 3 questions for i'll give you brainliest.

1. ronald is making hats and scarves for charity. he has enough yarn to make 5 hats and 8 scarves. it takes him 12 hours to knit a hat and 6 hours to knit a scarf; he has 20 hours to knit.

let x represent the number of hats made. let y represent the number of scarves made.

which inequalities are among the constraints for this situation?

select each correct answer.

a) y≤8

b) 12x+6y≤20

c) x≤5

d) 5x+8y≤20

e) x+y≤20

2. which ordered pairs lie on the graph of the exponential function f(x)=2^(x+4) −8?

select each correct answer.

a) (−2,−4)
b) (2, 56)
c) (8, 0)
d) (24, 1)

3. the expression 15.85(1+x) gives the total cost of a toy, where x is the sales tax written in decimal form.

what does 1 + x represent in the expression?

a) percent of original price being paid in tax
b) cost of toy
c) percent of tax
d) amount of tax

Problem 1

Choice A, Choice B, and choice C

Explanation:

x = number of hats made,

12*x = total time to knit just hats (12 hrs to do 1 hat)

y = number of scarves made

6*y = total time to knit just scarves (6 hrs to do 1 scarf)

In total, it takes 12x+6y hours to knit everything (scarves+hats) and we want this total time to be 20 or less, so this means choice B is one of the answers

Choice A and choice C are also answers because they restrict how many scarves and hats we can make. Choice A says we can make at most 8 scarves. Choice C says the max number of hats we can make is 5.

The other inequalities won't apply so they can be crossed off the list.

Problem 2

choice A and choice B

Explanation:

If you plug in x = -2 and simplify, you'll end up with f(x) = -4, so that helps confirm A is one of the answers. Choice B is the other answer because x = 2 leads to f(x) = 56

In contrast, if you plugged in x = 8, you'd end up with 4088 which is way off of the y coordinate 0 listed. The same story happens with x = 24 but the result is much much larger.

Problem 3

To be honest, I'm not sure what to make of this problem. If x is the decimal form of the sales tax, then 1+x would be the multiplier to help get the total cost. For example, if x = 0.02 then 1+x = 1+0.02 = 1.02, meaning that the final cost (after tax) is 102% of the original cost (before tax)

1+x isn't the amount of tax as that would be 15.85*x

The percent of tax would be 100*x (eg: x = 0.02 so 100*x = 100*0.02 = 2% tax rate)

The cost of the toy is given to be 15.85 so that answer is out as well.

the expected value of the random variable : 0, 1 and 2

step-by-step explanation: