Answer:
1/4
Step-by-step explanation:
We can use the slope formula to find the slope
m = (y2-y1)/(x2-x1)
= (2-0)/(4 - -4)
= (2-0)/( 4+4)
= ( 2/8)
= 1/4
Easy bruh
Answer:
631ml
Step-by-step explanation:
In order to find how much water is in the snow globe, we need to find it's volume. Volume formula for the sphere is πr²
π(3.5)² ≈ 38.5in³
To know how much water is in the sphere, we can transform 38.5in³ into milliliters.
1 cubic inch is 16,3871 ml
38.5 x 16,3871 ≈ 631ml
For this case we must simplify the following expression:

Simplifying the numerator, dividing all the terms by 4, we have:

We factor by looking for two numbers that when added together give -8 and when multiplied by 12. These are: -6 and -2

So, we have to:

Simplifying the denominator:
We rewrite -17x as -18x + x:

We factor the highest common denominator of each group:

We factor the polynomial by factoring the highest common denominator (x-6):

So, we have to:

Substituting in the original expression we have:

ANswer:

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.