Answer:
B
Step-by-step explanation:
f(x) is just another way of saying y, so this function is really y=4x-5. So if you do y+3 then the y intercept will increase by 3 shifting the graph up 3 units.
Answer:
Future value, A = $642
Step-by-step explanation:
Given the following data;
Principal = $500
Interest rate = 5% = 5/100 = 0.05
Time, t = 5 years
n = 365
To find the future value, we would use the compound interest formula;
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
Substituting into the equation, we have;
Future value, A = $642
First of all, we know that it's a linear equation, which means it'll have to be y=mx+b.
Identify your points.
(0, 0) and (5, 4).
Now find the slope by doing
m = (y₂ - y₁)/(x₂ - x₁)
m = (4 - 0)/(5 - 0)
m = 4/5
So the slope is 4/5 or 0.8.
Now set the equation up. You have a point and the slope, so use the point-slope equation.
y - y₁ = m(x - x₁)
y - 4 = 4/5(x - 5)
y - 4 = 4/5x - 4
y = 4/5x
So the equation of the line is y=4/5x.
Step-by-step explanation:
=> x + 80 + 20 = 180
=> x + 100 = 180
=> x = 180 - 100
=> x = 80°
Answer:
B
Step-by-step explanation:
In order for something to have infinite solutions, both sides need to be equal to each other.
Example:
3x + 7y = 7y + 3x
That has infinite solutions
3x + 7y = 7x + 3y
That is not equal to each other because the variables are different.
Hope I helped :)
