It will take
100
songs for the monthly price of Napster to cost the same as iTunes.
Function:
f(x) = x² + 3
The domain is the maximum and minimum values of x that can be put into a function to yield another value. In this case, the domain is negative infinity to positive infinity
D = (∞,-∞)
The minimum value of the function is when x is 0
The minimum value is 3
The maximum value is ∞
Therefore, the range is [3 , ∞)
For the function's inverse, the original domain will become the range and the original range will become the domain.
Technically speaking, because the way you have the question written, in words the equation would be said as y equals one-thirds multiplied by the absolute value of x, then minus two. Properly saying as y equals two less that the product of one-third and the absolute value of x.
The absolute value is the distance away from 0 therefor the value would alway equal as a positive value. EX1: |21| = 21 EX2: |-21| = 21
even if you considered -2 within y=1/3|x|-2 as -2 being negative two instead of minus two, then it would be the same meaning in the case that you have written out in a mathematical equation format, but really because -2 comes after 1/3|x| and -2 is not in parenthesis then it would make more since to say minus two.
Answer:
(2,-1)
divide both sides of the first equation by 2 to get y by itself. this gets you y=x/2-2
then plug that into the other equation:
4x+3(x/2-2)=5
SImplify that to get:
4x+3x/2-6=5
Add 6 to both sides:
4x+3x/2=11
give 4x a denominator of 2 as well:
8x/2+3x/2=11
add them:
11x/2=11
multiply both sides by 2/11 to get:
x=22/11 which simplifies to x=2
plug x into first equation:
2y=(2)-4
simplify:
2y=-2
divide both sides by 2 to get:
y=-2/2 which is the same as -1
x=2
y=-1
answer: (2,-1)
I hope this helps
Answer:
C
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
y = (x + 7)² - 9 ← is in vertex form
with h = - 7 and k = - 9
vertex = (- 7, - 9 )