3x+22.5 = 69.75
-22.5 -22.5
3x = 47.25
/3 /3
x = 15.75
The price of each shirt before tax is $15.75
Answer:
see explanation
Step-by-step explanation:
Sum the 3 consecutive integers and equate to 36
x + x + 2 + x + 4 = 36
3x + 6 = 36 ( subtract 6 from both sides )
3x = 30 ( divide both sides by 3 )
x = 10
The 3 consecutive integers are
10, 10 + 2, 10 + 4, that is
10, 12, 14
Write the function as
f(x) = x² + 6x - 4
Note that
x² + 6x = (x + 3)² - 9
Therefore
f(x) = (x 3)² - 9 - 4
= (x + 3)² - 13
The vertex is at (-3, -13)., and the curve opens upward.
The axis of symmetry is x = -3.
Answer:
The vertex of the function is (-3, 13).
The graph increases over the interval (-3, -∞)