Hi there! The domain of a function refers to the values that can be validly input for x. In laymen's terms, domain is the x-values that exist on a graph of the equation.
If we were to plug in y=-2x+5 into a calculator that shows an infinite graph, we would see that the line of the equation would extend both ways infinitely! This means that all real numbers can be inputs for x, because for every x value that exists there is a corresponding y value.
This means that D. All real numbers, is your answer.
Hope it helps! :)
Answer:
40x + 30y ≤ 6,550
Step-by-step explanation:
Given:
Cost of each apple bushels = $40
Cost of each corn bushels = $30
Total budget = $6,550
Find:
Inequality
Computation:
Assume;
Total number of apple bushels = x
Total number of corn bushels = y
So,
40x + 30y ≤ 6,550
Sum of two sides always greater than the third side
If c is the smallest number, then
5 + c > 7
c > 2
If c is the largest number, then
5+7>c
12>c
Adding c>2 and 12>c, you get 12>c>2 for the answer
Answer: B.The cost of rental fee only
Step-by-step explanation:
The $35 is the cost of the rental fee only. The person would then have to pay a further $15 for every hour they use the boat.
Essentially, the $35 is the fixed cost associated with the rental and the $15 is the variable cost to do so. If this were in a linear equation format it would take the form: y = 15x + 35.
The consecutive positive integers would be: x and (x+1),
We would have to solve the following equation to find these numbers:
x(x+1)-[x+(x+1)]=29
x²+x-2x-1=29
x²-x-30=0
x=[1⁺₋√(1+120)]/2
x=(1⁺₋11)/2
We have two possible solutions:
x₁=(1-11)/2=-5 then: (x+1)=-5+1=-4 This is not the solution.
x₂=(1+11)/2=6 then: (x+1)=6+1=7 This solution is right.
Answer: the numbers would be 6 and 7.