(x - 12)(x + 4) = 9
x² + 4x - 12x - 48 = 9
x² - 8x - 48 = 9 |add 48 to both sides
x² - 8x = 57
x² - 2x · 4 = 57 |add 4² to both sides
x² - 2x · 4 + 4² = 57 + 4² |use (a - b)² = a² - 2ab + b²
(x - 4)² = 57 + 16
(x - 4)² = 73 ⇔ x - 4 = √73 or x - 4 = -√73 |add 4 to both sides
x = 4 + √73 or x = 4 - √73
Answer:
A
Step-by-step explanation:
To answer this, we need to see what happens to the curves on the given interval
For f(x), we have that there is a decrease as we are moving from a higher positive value of y to a lower positive value of y over the specified interval
For g(x), we can see that we are moving from a lower positive y value to a higher positive y value
What this mean is that the first option is correct
Answer:
Step-by-step explanation:
diameter = 8 cm
radius = 8/2 = 4 cm
Area of circle = πr²
= 3.14*4*4 = 50.24 cm²
the answer is $7
Step-by-step explanation:
70 divided by 14 is 5.
cost would be $5 per person before discount of $2
$5 plus $2 equal $7
p= $7
Answer: x= -3.25
Step-by-step explanation:
R=4x+6y 11=4x+6(4) 11=4x+ 24 11-24=4x -13=4x -13/4=x x=-3.25
11=4(-3.25)+ 6(4) 11= -13+24