The y-intercept of the first question is 1 and it represents the number of minutes they stretch when they don't jog.
#4) y=1/2x + 1
#5) 10 cakes, because y=9/10x+1
Explanation
For the first question: The y-intercept is easily picked from the two points that define the line. (0, 1) would have to be on the y-axis, because when we plot it, the x-coordinate is 0. This means it is the y-intercept of the line.
#4) Finding the slope of the line, we use the formula
m=(y₂-y₁)/(x₂-x₁) = (3-1)/(4-0) = 2/4 = 1/2
The y-intercept is at (0, 1), using the same justification as the first question.
This gives us the equation y = 1/2x + 1.
#5) First we find the equation of the line. To do this, find the slope:
m=(y₂-y₁)/(x₂-x₁) = (10-1)/(10-0) = 9/10
The y-intercept is at (0, 1). This makes our equation y=9/10x + 1.
Using 10 as x (x represents the number of weeks) we have
y=9/10(10) + 1
y=9/10(10/1) + 1
y=90/10 + 1
y=9+1 = 10
Answer: f(6) = (6)2 + 1 = 36 + 1 = 37
If we wanted to find and expression for f(g(x)) we could plug in g(x), which is "x - 4" into the function f(x) wherever we see an "x". So:
f(x) = x2 + 1
f(g(x)) = (x - 4)2 + 1 because g(x) is "x - 4"
Step-by-step explanation:
Highest number - lowest number = 8-3 = 5
I hope that helps and best of wishes !!
Answer:
The answer is: $471
Step-by-step explanation:
Set up two ratios and cross multiply:
8 / 100 = 37.68 / x
8x = 37.68 * 100
8x = 3768
x = 3768 / 8 = $471.00
Proof:
$471 * .08 = $37.68
Answer: 4
Step-by-step explanation:
