Answer:
Given the function in the question
f(x) = |x-3| + 2
a) state the name of the function
Absolute value function
since it is similar to f(x) = |x|
b) identify the independent and dependent variable
x = independent variable (input variable)
f(x) or y = dependent variable (output variable)
The variable which we assign the value we call the independent variable, and the other variable is the dependent variable, since it value depends on the independent variable.
c) identify the rule
A function is an equation that has only one answer for y for every x.
d) evaluate the function
given x = -5
f(-5) = |-5 - 3| + 2
= |-8| + 2
= 8 +2
= 10
Answer:
Please read the answers below.
Step-by-step explanation:
Let's calculate the four means between 100 and 135, this way:
1. Arithmetic mean:
(100 + 135)/2 = 117.5
2. Weighted mean:
We will assign equal weight to both numbers : 5
(100 * 5 + 135 * 5)/10 = (500 + 675)/10 = 1,175/10 = 117.5
3. Geometric mean:
√100 * 135 = √13,500 = 116.2 (Rounding to the next tenth)
4. Harmonic mean:
2/(1/100 + 1/135) = 2/(0.01 + 0.0074) = 114.9 (Rounding to the next tenth)
Answer:
Alex will pay $3,662
Step-by-step explanation:
To find the total cost, we can make an equation modeling y=mx+b, with y being the total cost, m being the monthly charges, x being the amount of time it takes, and b being the 10% down payment.
After plugging in the numbers to the equation, we get y=276(12)+350.
Now all that is left is to solve the equation as follows:
y=3,312+350
y=3,662
Slope = m = y2-y1/x2-x1
= 5-(-3)/4-(-2)
m=8/6
m=4/3
so eq of line we select any of one point . i select (4,5)
y - y1 = m(x-x1)
y- 5 = 4/3 (x-4)
3y -15 = 4x-16
4x-3y = 1
Answer:
option a 75°
Step-by-step explanation:
45°+60°+third angle=180°[by angle sum property]
105°+third angle=180°
third angle =180°-105°
third angle=75°
