Answer:
Part 1) The rate of change is 
Part 2) The initial value is 
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to

where
m is the slope or rate of change
b is the y-intercept or initial value
step 1
Find the slope or rate of change
The formula to calculate the slope between two points is equal to

we have the points
(5,12)and (2,6)
substitute the values in the formula



therefore
The rate of change is 
step 2
Find the initial value
we have


substitute in the equation 

solve for b

---> initial value
The linear equation is equal to

The y-intercept or initial value is 2
Answer:
a. 4/7
e. 3/4
Step-by-step explanation:
For each part of the question, count the dots that meet the first requirement, and count the dots that meet the "fraction of ..." requirement. The desired fraction is the ratio of these numbers. In the answers above, we have reduced the fractions to lowest terms, but the question does not seem to require that.
__
a. The desired fraction is ...
(dots in the triangle)/(all dots) = 16/28 = 4/7
__
e. (dots in the rectangle not in the circle)/(dots in the rectangle) = 9/12 = 3/4
Answer:
The simplest form of the fraction
is
.
i.e.

Step-by-step explanation:
Here are some simple observations regarding how to reduce a fraction into simpler terms:
- A fraction is reduced to lowest or simplest terms by finding an equivalent fraction in which the numerator and denominator are as small as possible.
- In order to reduce a fraction to lowest or simplest terms, divide the numerator and denominator by their (GCF). Note that (GCF) is also called Greatest Common Factor .
So, lets take a sample fraction and reduce into simpler terms.
Considering the fraction





so



Therefore, the simplest form of the fraction
is
.
i.e.

Answer:
345700
Step-by-step explanation:
79600+145700+120400=345700
Answer:
B
Step-by-step explanation:
find the area of the rectangle and then find the area of the semi circle, then add the 2 together