Answer:
C. The x-coordinate of the vertex must be 6
Step-by-step explanation:
The parabola intercepts the x-axis when y = 0.
Therefore, if the quadratic equation has the points (2, 0) and (10, 0) then the x-intercepts or "zeros" are x = 2 and x = 10.
The x-coordinate of the vertex is the midpoint of the zeros.
Therefore, the solution is option C.
<u>Additional Information</u>
The leading coefficient of a quadratic tells us if the parabola opens upwards or downwards:
- Positive leading coefficient = parabola opens upwards
- Negative leading coefficient = parabola opens downwards
We have not been given this information and so therefore cannot determine the way in which it opens.
As we do not know the way in which way the parabola opens, we cannot determine if the parabola will have a negative or positive y-intercept.
We have not been given the full quadratic equation, and so we cannot determine if the parabola is wider (or narrower) than the parent function.
2s+3<15
-3<15-3
2s<12
2 < 2
s<6
A. The expression has two factors.
The two factors of the expression 7(2x+5) are 7 and (2x+5).
Hope this helps.
Answer:
32768
Step-by-step explanation:
Each question has 2 options.
On a true/false test with one question, there are 2¹, or 2 possible answers
On a test with 2 questions, there are 2², or 4 possible answers.
On a test with 3 questions, there are 2³, or 8 possible answers.
So, 2¹⁵ = 32768 possible ways.
The system of equations that Sam can use is given by:
A 13b + 4t =327.50, 6b + 2t = 142.96
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable b: Cost of a bush.
- Variable t: Cost of a tree.
The first order was for 13 bushes and 4 trees, and totaled $327.50, hence:
13b + 4t = 327.50.
The second order was for 6 bushes and 2 trees, and totaled $142.96, hence:
6b + 2t = 142.96.
Which means that option A is correct.
More can be learned about a system of equations at brainly.com/question/24342899
