Since the parabola is connecting the points, it means that the points given are on the parabola or that the points are solutions of the parabola. Thus, when we substitute the points into the function, we should end up with the correct y-value.
To find the correct choice, let's test a point. An easy point to test I believe would be (-3, 0) because we should be getting 0 as a y-value. Let's test:
We can see that Choice B is the correct function, because it produces 0 when we substitute 
. Thus, Choice B, or (x + 3)(x - 4) is the answer.
Answer:
Sharon
Step-by-step explanation:
The given parameters are;
The number of persons that rode on the small train = 5
The number of cars in the train = 5
The position Maren sat = Last car
The position Aaron sat = Directly behind Sharon
The position Darren sat = In one of the cars in front of Aaron
The position of one of the members = Between Karen and Darren
The given seating arrangement is as follows;
Maren → Aaron → Sharon → Darren → Karen
Therefore, the person who sat in the middle car is Sharon.
Answer:
Cost of each individual book = $10.5
Step-by-step explanation:
Given:
Cost of 3 book set = $24.81
Amount save = $6.69
Find:
Cost of each individual book
Computation:
Assume:
Cost of each individual book = a
Total cost = 3a
So,
Total cost = $24.81 + $6.69
Total cost = $31.5
So,
3a = $31.5
a = $10.5
Cost of each individual book = $10.5
Answer:
a = 3 b = 0
Step-by-step explanation:
(a,-2) b= -2
-2=2a -8
6=2a
3=a
(4,b) a=4
b=2(4)-8
b=8-8
b=0
5x2-3x=25
Divide each term by 5:
x^2 - 3/5x = 5
Make a trinomial square of the left side by taking the square of half of the coefficient of x.
The coefficient of x is -3, so the square would be (-3/10)^2
Add that to both sides of the equation.
Now you have:
x^2 - 3/5x + (-3/10)^2 = 5 + (-3/10)^2
Simplify both sides:
x^2 -3/5x +9/100 = 509/100
Factor the trinomial:
(x-3/10)^2 = 509/100
Solve for x, , take the square root of both sides:
x-3/10 = +/-√509 / 100
Simplify the right side:
x-3/10 = +/-√509/10
Add 3/10 to both sides:
X = +/-√509/10 + 3/10 ( this is the exact form)
You can then find the decimal answer if needed.
