Answer: D: [0, ∞)
R: [0, ∞)
Step-by-step explanation:
f(x) = 1.5x
- x is the number of bottles
Domain is the x-values. The least amount of bottles you can buy is 0 and the most you can buy is infinite <em>(technically you can only buy the amount you can afford and the amount the store has to sell but for mathematical purposes you can buy an infinite amount)</em>
So, the domain (D) is x = 0 to ∞ → D: [0, ∞)
Range is the y-values. The least and most amounts are based on the domain. Since the smallest x-value is 0, input that value into the equation to solve for f(x). Similarly, input the greatest x-value to solve for f(x).
f(x) = 1.5(0)
= 0
f(x) = 1.5(∞)
= ∞
So, the range (R) is f(x) = 0 to ∞ → R: [0, ∞)
Answer:
6 weeks
Step-by-step explanation:
You need to write an equation for each.
For Andre, he has 100 dollars, and every week gets 5 dollars more. You add the 5 dollars, and Since you don't know how many weeks it has been, use a variable.
For Elena, she has 10 dollars, and gets 20 each week.
Now that you know that it has been 4 weeks, you can plug in 4 for the variable for weeks.
Andrew:100+5(4)=100+20+120
Elena: 10+20(4)=10+80=90
Andrew has more money in this time.
To find when they have the same amount, equal their expressions to each other. This means that they will have the same amount (because they are equalled) and you can solve to find the variable, which means the weeks that they are equal at.
Bring the like terms to each side by canceling them out. Since you have positive 10, then subtract 10 to each side. You have 5w, so subtract 5w to each side.
100+5w=10+20w
90+5w=20w
90=15w
90 divided by 15=6
w=6
The answer would be D and E
Explanation: the number line shows any number less than 16, the filled in circle also means including 16. So it becomes any number 16 or less. So in both of the scenarios the max number of either students or dollars has to be 16.
Hope this helps
A possible answer could be 9
Answer:
<u>Rs. 72</u>
Step-by-step explanation:
We have 2 values here,
- Perimeter of the rectangle = 360 cm
- Breadth of the rectangle (b) = 60 cm.
Firstly, we must find the length of the rectangle (l).
So, according to the formula,
Perimeter = 2 (b + l)
360 = 2 (60 + l)
360 = 120 + 2l
360 - 120 = 2l
240 = 2l
120 cm = l
Now, we need to find the area of the rectangular wall & then convert it from cm² to m² as the cost of painting is given in m².
So,
Area = lb
Area = 120 × 60
Area = 7,200 cm²
Let's convert it to m² now,
7200/1000
= 7.2 m²
Given, cost of painting per m² = Rs. 10
So, the cost of painting the wall is,
10 × 7.2
= <u>Rs. 72</u>
<u>________________________________</u>
Hope it helps!
