Answer:
y = 10/3x + 20
Step-by-step explanation:
First, we need to find the slope of the function. We can do that by using two points and inserting them into the slope formula. It can be any two but I'll just pick (3, 30) and (6, 40).
m = y₁ - y₂ / x₁ - x₂
m = 30 - 40 / 3 - 6
m = -10/-3
m = 10/3
Now we know the slope is 10/3.
In slope-intercept form, the y-intercept is the constant at the end of the equation. The table of values tells us that the y-intercept is located at (0, 20). So the equation of the linear function is y = 10/3x + 20.
Answer:
30%
Step-by-step explanation:
Selma spent 3/10 of her allowance on a new backpack.
Hence, the percent of her allowance that she spent is calculated as:
Fraction of allowance spent on Backpack × 100
= 3/10 × 100
= 0.3/1 × 100
= 30%
Therefore, Selma spent 30% of her allowance on a new backpack.
Answer:
1296
Step-by-step explanation:
Simple interest is
I = PRT where I is the interest P is the principle, r is the rate and t is the time
I = 1350 * .08 * 12
I = 1296
Given:
The location of point S on a coordinate plane.
To find:
The ordered pair for the point S.
Solution:
A point is defined as (x,y), where, |x| is the distance between the point and y-axis, and |y| be the distance between the point and x-axis. Signs of coordinates depend on the quadrant.
From the given graph it is clear that,
Distance between S and y-axis = 3.5
Distance between S and x-axis = 5.5
Point S lies in 3rd quadrant, it means x- and y-coordinates are negative.
Therefore, the ordered pair of point S is (-3.5,-5.5).
Answer:
Step-by-step explanation:
g(f(x)) = g(f(x)) +3(-5x +5 ) +8
= -15x + 15 + 8
= -15x + 23
