Answer:
Graph C
Step-by-step explanation:
First, we need to find the bottom of the parabola (or the top, left, or right). In this case, it is x=3, therefore meaning y=-25. The only one that has (3,-25), so Graph C.
Answer:
x = - 5, x = 2
Step-by-step explanation:
Using the rules of logarithms
log x - log y = log (
)
x = n ⇔ x = 
note that log x = 
x
Given
log (x² + 3x) - log10 = 0, then
log(
) = 0, thus
= 
= 1 ( multiply both sides by 10 )
x² + 3x = 10 ( subtract 10 from both sides )
x² + 3x - 10 = 0 ← in standard form
(x + 5)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x - 2 = 0 ⇒ x = 2
Solution is x = - 5, x = 2
A 4 hours
This is because if you create the equation using $75 which is the starting fee and then $30 for every hour of playing music.
Equation: 75+30h<200
You subtract 75 from 200 and the divide that number by 200 you will get a decimal but you look at your answer choices and choose the closest number to your answer.
In quadrant 2, x is negative which means x < 0. Also, in quadrant 2, y is positive so y > 0.
An example point that is located in quadrant 2 is the point (-5, 8). Note how the first coordinate is -5 so x = -5 which is negative. Furthermore, the second coordinate is 8 meaning that y = 8 which is positive.
Quadrant 2 is the quadrant on the upper left-hand side of the four quadrants on the xy coordinate system.
