Vertex form is f(x) = a(x - b)^2 + c where the vertex is (b, c) and a is some constant.
So for the first part we have f(x) = a(x + 6)^2 - 1
for root -9:- a( -9+6)^2 - 1 = 0
9a - 1 = 0 , a = 1/9
The other 3 are derived in the same way.
so required equation is f(x) = (1/9)(x + 6)^2 - 1
Answer:
y +1 = 4/3( x-9)
Step-by-step explanation:
Point slope form of an equation is
y-y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on a line
y - -1 = 4/3( x-9)
y +1 = 4/3( x-9)
For this case, the first thing we must do is define variables.
We have then:
x: number of minutes
y: total cost
We write the algebraic expression that models the problem.
We have then:

Simplifying we have:

Then, by the time the cost is equal to $ 300 we have:

From here, we clear the value of x.
Answer:
an algebraic expression for the problem is:

Answer:
the x-intercepts are -5 and 2
Step-by-step explanation:

x-intercept is when y is set equal to zero
So, y = 0


Either,
x+5 = 0 <u><em> OR </em></u> x-2 = 0
x = -5 <u><em> OR </em></u> x = 2
So, the x-intercepts are -5 and 2
Okay so the problem starts you off with the fraction (1/4). Sharing equally among 3 people would mean that you'd want to divide it by three so your equation would initially look like (1/4) / 3. Having two dividing signs is confusing so what you do is change the dividing into multiplying by the reciprocal of 3 = 1/3... This would make your expression (1/4) * (1/3) and when you simplify this you should get 1/12 as the answer.