Answer:
(a) The y-intercepts of both functions are the same, 0. However, the rate of change for the school library is 0.25, while the rate of change for the city library is 0.35.
(b) The 3-day late fee at the school library is $0.75 and the 3-day late fee at the city library is $1.05.
Step-by-step explanation:
The functions represented in the question are linear, which means that they have a consistent rate of change over time. In this example, it means that for every day, the late fee charged by each library is the same. At the school library, the rate of change is 0.25, which means for each day the book is late, the school charges a fee of $0.25. At the city library, the table shows that for each day the book is late, the city charges a fee of $0.35. So, the city library is more expensive. Y-intercept refers to the initial cost, or how much do the libraries charge if the book is not late, or turned in on time. In this case, neither library charges a fee for books turned in on time, so both would have a y-intercept of 0.
Answer:
W = 4
Step-by-step explanation:
The nice thing about algebra is that you can look for any variable in an equation as long as you have the number for the other variables.
1. Write our the equation. V = l w h
2. Put in as many numbers as you can. 60 = 5 w 3
3. Isolate the variable. To do that perform the mathematical opposite to the target on both sides. So to get rid of five, we have to divide it on both sides of the equal sign.
60/5 = w 3
12/3 = w
4 = w
The width is 4cm
6x-2(x+1)>0
6x-2x+2>0
4x+2>0
4x+2-2>-2
4x<1/2
The magnitude can be found by using the PythaGORAS THEOREM:-
PQ = √[ (-3 - (-5))^2 + (4 - 2)^2 ]
Answer:
45
Step-by-step explanation:
Let us assume the Bags of oranges be x
Now the cost price is 2500x
Sale price N = 90,000
Loss =20%
As we know that
Cost price= selling price × 100/ 100-percentage loss
= 90,000 × 100/ 100- 20
= 90,000 × 100 /80
Cost price= 112,500
Now
The Number of bags of oranges is
= 112,500 ÷ 2500
= 45
