Answer:
B false
Step-by-step explanation:
The Theorem states that for a right triangle,
a^2 + b^2 = c^2
where c is the hypotenuse and a and b are the two shorter sides.
So does our given lengths work? Let's see:
16^2+30^2=35^2
256+900=1225
1156=1225
1156≠1225
And as we can see, the two sides do not equal each other, so this means the sides do not make a right triangle.
You multiply 9 times nine 6 times. ~9*9*9*9*9*9~
Given:
f(x) = 70n - 400 : equation for monthly profit.
n = number of students enrolled in the guitar class.
70 refers to the amount charged per student.
400 is the fixed expense made by the instructor.
For the instructor to have a profit, the product of 70n must be more than 400.
400/70 = 5.7 or 6
There must be at least 6 students enrolled in class for the instructor to generate profit.
f(x) = 70(6) - 400 = 420 - 400 = 20
1000 = 70n - 400
1000 + 400 = 70n
1400 = 70n
1400/70 = n
20 = n
There must be 20 students enrolled in class for the instructor to earn 1000 in profit.
1000 = 70(20) - 400
1000 = 1400 - 400
1000 = 1000
The parent function is ...
... f(x) = |x|
This is the absolute value function, equal x when x ≥ 0, and equal to -x when x < 0. Its graph has the shape of a V with the vertex at the origin and "legs" of slope ±1.
The function g(x) is the same function with 2 added. The addition of 2 moves every value of f(x) up 2 units, so translates the whole graph upward by 2 units.
