X = 4, -9
x^2+5x-36=0
1x +5x-36=0
1x (-1x) + 5x (- -1x) -36 = 0
4x - 36 = 0
4 x - 36( - - 36) = 0
4x = -36
4x/4 = -36/4
x= -9
Answer:
Currently, Alex is 32 years old. His son is 8 years old,
Solution: denote the age of Alex’s son as ‘x’. Alex’s age is 4x
In 16 years, Alex’s age will be 4x + 16. His son’s age will be x + 16
4x + 16 = 2(x+16). solving this equation yields:
4x + 16 = 2x + 32. Grouping like terms algebraically gives: 2x = 16
Thus x = 16/2 = 8. 4(8) = 32
It must be ≤ instead of ≥.
y ≤ - 3·x + 4
Answer:
(3, 0 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c (a ≠ 0 )
Then the x- coordinate of the vertex is
= -
y = 5x² - 30x + 45 ← is in standard form
with a = 5, b = - 30 , then
= - = 3
Substitute x = 3 into the function for corresponding value of y
y = 5(3)² - 30(3) + 45 = 45 - 90 + 45 = 0
vertex = (3, 0 )