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
A rational number can always be represented as a fraction.
5.2 = 52/10
5.5 = 55/10
A number between them would be 54/10 since 54 is between 52 and 55.
An irrational number cannot be represented as a fraction. A good example of an irrational number is the square root of a number.
sqrt(5.2^2) = 5.2 ----> 5.2^2 = 27.04
sqrt(5.5^2) = 5.5 ----> 5.5^2 = 30.25
The square root of a number between 27.04 and 30.25 will be an irrational number between 5.2 and 5.5
sqrt(28) = 5.2915...
Answer: £164.50
175 decreased by 6% = 164.5
Absolute change (actual difference):
164.5 - 175 = - 10.5
Step-by-step explanation:
175 - Percentage decrease =
175 - (6% × 175) =
175 - 6% × 175 =
(1 - 6%) × 175 =
(100% - 6%) × 175 =
94% × 175 =
94 ÷ 100 × 175 =
94 × 175 ÷ 100 =
16,450 ÷ 100 =
164.5
£164.50
Answer:
The diameter of the circle is 9.
Step-by-step explanation:
Because circumference is equal to
* d, we can backtrack and use this equation to find diameter. Let's say
is equal to 3.14.
28.26 = 3.14d
Divide both sides by 3.14.
9 = d
The diameter of the circle is 9.
1 Simplify \frac{4}{15}x
15
4
x to \frac{4x}{15}
15
4x \frac{4x}{15}=1.44
4x =1.44
2 Multiply both sides by 1515.
4x=1.44\times 15
4x=1.44×15
3 Simplify 1.44\times 151.44×15 to 21.621.6.
4x=21.6
4x=21.6
4 Divide both sides by 44.
x=\frac{21.6}{4}
x= 4
21.65 Simplify \frac{21.6}{4} 421.6 to 5.45.4.
x=5.4
x=5.4