.2 converted to a fraction would be 1/5
Answer: y = - 4x + 2
Explanation:
The graph shows a linear function, which is a first degree polynomial, whose form is ax + b.
The rule or fucntion is f(x) = y = ax + b. This form is called the slope-intercept form, because the coefficient a is the slope of the line and b is the y-intercept.
The graph permits you to calculate both parameters.
1) The slope, a is defined in this way:
- a = rise / run = [change in y] / [change in x] = [y₂ -y₁] / [x₂ - x₁]
- you can use the points (0, - 2) and (-1,2):
⇒ a = [ 2 - (-2) ] / [ -1 - 0 ] = 4 / (-1) = - 4
2) b, the y-intercept, is the value of the function, y, when x = 0. In the graph you can see that this is - 2. b = - 2.
3) Substituting the values of a and b in the form y = ax + b, you the rule:
First distribute
a(b+c)=ab+ac
-2(x+4)=-2x-8
now we have
-2x-8-8=4
-2x-16=4
add 16 both sides
-2x=20
divide bot sides by -2
x=-10
3/18 = 15/90
13/15 =78/90
To rewrite it as the same denominator you have to find a number that they both go into. So 90 is the lowest number that both 18 and 15 go into. 18 x 5 is 90 and 15 x 6 is 90 so what you do to the denominator you have to do to the numerator. So then you do 3 x 5 which equals 15 and you have to do 13 x 6 which equals 78. So the equation would end up being with the two fractions 15/90 and 78/90.
A) Period 19 Years (if it started the 1st Jan 2017 & ended the 31st Dec 2035)
A=P(1+r%)^n
A=7.451(1+1.13%)^19 = 9.259 Billion
b) 14.902 = 7.451(1+1.13%)^n
You will find n≈20 year (through log)
c) to triple 22.353=7.451(1+1.13%)^n, Same logique
