Answer:
y = 2(x + 3)² - 4
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
Using the method of completing the square
y = 2x² + 12x + 14 ← factor out 2 from the first 2 terms
= 2(x² + 6x) + 14
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² + 6x
y = 2(x² + 2(3)x + 9 - 9 ) + 14
= 2(x + 3)² - 18 + 14
= 2(x + 3)² - 4 ← in vertex form
F(x)=3x2-11
f(5)=6-11
5f=-5
5f/5=-5/5
f=-1
Answer:
The each have to place 2 subscriptions
Step-by-step explanation:
Adriana
E (earnings) = 6 + 2*x where x is the number of subscriptions
Sophie
E (earnings) = 4 + 3x
For them to earn the same amount, their right sides must be equated.
4 + 3x = 6 + 2x Subtract 2x from both sides
4 + 3x - 2x = 6+ 2x - 2x Combine
4 + x = 6 Subtract 4 from both sides
4 - 4 + x = 6 - 4
x = 2
Answer:
The required equation is 
Step-by-step explanation:
The equation of the given function can be written in the form 
, where 
is the slope and 
is the y-intercept.
The given equation has a y-intercept of 
The straight line passes through 
and 
.
We calculate the slope using the formula,
We now substitute the slope and y-intercept into the above equation of the straight line to get,
This is the same as
Answer:
<h2>x = 7</h2>
Step-by-step explanation:
The whole triangle and the small triangle are similar. Therefore the sides are in proportion.
We have the equation:
