Answer:
c.(1) Impossible c.(ll) unlikely
Using the given information we found that the equation of the parabola is:
y = (-4/9)*(x - 3)^2 + 5
And its graph is below.
<h3>
How to get the equation of the parabola?</h3>
For a parabola with vertex (h, k), the equation is:
y = a*(x - h)^2 + k
Here the vertex is (3, 5), so the equation is:
y = a*(x - 3)^2 + 5
And the y-intercept is y = 1, this means that:
1 = a*(0 - 3)^2 + 5
1 = a*9 + 5
1 - 5 = a*9
-4/9 = a
So the parabola is:
y = (-4/9)*(x - 3)^2 + 5
And its graph is below.
If you want to learn more about parabolas, you can read:
brainly.com/question/1480401
Answer: 9
<u>Step-by-step explanation:</u>
Andre has 4 x (the number of cars Peter has). Andre has 36 cars.
4P = 36
P = 9
The system of equation is y = 300 + 3x and y = 250 + 5x and the number of visits is 25
<h3>The system of equations </h3>
The given parameters are:
<u>Jim's Gym</u>
- Initial fee = $300
- Charges = $3 per visit
<u>Sally's Salon</u>
- Initial fee = $250
- Charges = $5 per visit
The equation is calculated as:
Total (y) = Initial * Charges * Number of visits (x)
So, the system of equation is
y = 300 + 3x
y = 250 + 5x
<h3>Number of visits before the plans are equal</h3>
We have:
y = 300 + 3x
y = 250 + 5x
Substitute y = 300 + 3x in y = 250 + 5x
300 + 3x = 250 + 5x
Evaluate the like terms
-2x = -50
Divide by -2
x= 25
Hence, the number of visits is 25
Read more about system of equations at
brainly.com/question/12895249
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