We have been given an equation 
. We are asked to fill in the blanks using our given equation.
The axis of symmetry will be the vertical line passing through vertex.
First of all, we will convert our given equation in standard vertex form of parabola as:
Standard vertex form of parabola: 
, where (h,k) is vertex of parabola.
Upon comparing our function with standard vertex form, we can see that vertex of parabola is at 
.
The axis of symmetry will be vertical line passing through point . The vertical line will pass through 
, therefore, the axis of symmetry is .
Since our given parabola is an upward opening parabola, so it has a minimum at . This means that parabola will intersect the x-axis at two points. Therefore, there are two real solutions for the given function.
Answer:
(3x + 5)(x - 4)
Step-by-step explanation:
Given
x(3x + 5) - 4(3x + 5) ← factor out (3x + 5) from each term
= (3x + 5)(x - 4) ← in factored form
Answer:
Step-by-step explanation:
both the length and the width of a square is the same measurement.
so if both measured to "x" then that means one side increase +7.
so one side is x + 7
and the other side decreased -4
so the other side is x - 4
area of square = length x width or just one of the sides to the power of 2
so (x+7) * (x-4) = Area
x^2 + 3x - 21 = area
Answer:
Suppose you have a fair coin: this means it has a 50% chance of landing heads up and a 50% chance of landing tails up. Suppose you flip it three times and these flips are independent. What is the probability that it lands heads up, then tails up, then heads up? So the answer is 1/8, or 12.5%.
