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eduard
3 years ago
9

Explain how you could write a quadratic function in factored form that would have a vertex with an x-coordinate of 3 and two dis

tinct roots.
Mathematics
2 answers:
KATRIN_1 [288]3 years ago
5 0
The vertex is on the axis of symmetry, so the axis of symmetry is x = 3. Find any two x-intercepts that have the equivalent distance from the axis of symmetry. Use those x-intercepts to write factors of the function by subtracting their values from x. For example, 2 and 4 are each 1 unit from x = 3, so f(x) = (x – 2)(x – 4) is a possible function.
shutvik [7]3 years ago
3 0

Answer:

Sample Response: The vertex lies on the axis of symmetry, so the axis of symmetry is x = 3. Find any two x-intercepts that are equal distance from the axis of symmetry. Use those  x-intercepts to write factors of the function by subtracting their values from x. For example, 2 and 4 are each 1 unit from x = 3, so f(x) =  (x – 2)(x – 4) is a possible function.

Step-by-step explanation:

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NEED HELP ASAP!
Inga [223]

Answer:

The answer to your question is:

61.- 25

62.- 26

Step-by-step explanation:

61.-

     2(5x + 5) + 2(2x) = 360

     10x + 10 + 4x = 360

     14x = 360 - 10

     14x = 350

     x = 350/14

     x = 25

62.-

     2(4x - 4) + 2(3x + 2) = 360

     8x - 8 + 6x + 4 = 360

     14x - 4 = 360

     14x = 360 + 4

     14x = 364

     x = 364 / 14

    x = 26

3 0
3 years ago
Evaluate A2 for A = -3. -9 -6 6 9
schepotkina [342]
Evaluate A² for A = -3.

(-3)² = (-3) * (-3) = 9

Your answer is 9.

If the question is, however, evaluate A2, which is 2A, for A = -3, then the answer is:

2A = 2(-3) = -6.
5 0
2 years ago
Read 2 more answers
What is the constant in the algebraic expression to represent the patter below??
Hitman42 [59]

Answer:

The constant in the algebraic expression to represent the pattern below is 4.

Step-by-step explanation:

Imortant Tip:

  • An Arithmetic sequence has a constant difference 'd' which can be determined by computing the differences of all the adjacent terms

Given the pattern

15,11,7,3,-1,...

computing the differences of all the adjacent terms

11-15=-4,\:\quad \:7-11=-4,\:\quad \:3-7=-4,\:\quad \:-1-3=-4

The difference between all the adjacent terms of the pattern is the same which is

d=-4

Hence, the given pattern represents the Arithmetic sequence.

Therefore, the constant in the algebraic expression to represent the pattern below is 4.

8 0
3 years ago
Write the following equation in slope-intercept form: 3x+4y=12
Sergeeva-Olga [200]
Hello, MissMisty here to help you. 

<span>• </span>The answer • 
Y = -3/4 + 3

Thanks! I hope it helped you, I'm glad I could help if it did. Have a good morning.
8 0
2 years ago
I need hlep its do to day
Taya2010 [7]

Answer:

x = -6/5

Step-by-step explanation:

distribute -4 on the left side of the equation first, then distribute 2 on the right side of the equation to get:

16x - 4 - 4x = 2x - 14 - 2

combine 'like terms':

12x - 4 = 2x - 16

subtract '2x' from each side to get:

10x - 4 = -16

add 4 to each side to get:

10x = -12

x = -12/10 or x = -6/5

3 0
2 years ago
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