5(x - 6) + 4 = 7x - 4
5x - 30 + 4 = 7x - 4
5x - 26 = 7x - 4
5x - 26 + 4 = 7x
5x - 22 = 7x
-22 = 7x - 5x
-22 = 2x
-22 / 2 = x
-11 = x
x = -11 is the solution to the given equation
Answer:
see explanation
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
here (h, k) = (- 6, - 1), thus
y = a(x + 6)² - 1
To find a substitute one of the roots into the equation
Using (- 3, 0), then
0 = a(- 3 +6)² - 1
0 = 9a - 1 ( add 1 to both sides )
1 = 9a ( divide both sides by 9 )
a =
, thus
y =
(x + 6)² - 1 ← in vertex form
Expand factor and simplify
y =
(x² + 12x + 36) - 1 ← distribute
y =
x² +
x + 4 - 1
=
x² +
x + 3 ← in standard form
Answer:
12 months
Step-by-step explanation:
2150-350=1800
1800÷150=12
Answer:
x=1
Step-by-step explanation:
Isolate the variable usually by dividing it by factors that don't contain the variable.
Hope this helps.