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Elden [556K]
3 years ago
13

Examine the following sequence 1, 4, 9, 16, 25…. Why is 36 the next number in the sequence? Because the pattern is: a. Add the n

ext even number c. Cube the number of the term, n b. Square the number of the term, n d. Add 2 + the number of the term, n
Mathematics
1 answer:
olga2289 [7]3 years ago
7 0
Square roots the square root of 1 is one square root of 2 is 4 square root of 3 is 9 and ect.
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3 years ago
What is the vertex form of y=-2x2+4x + 3?
sukhopar [10]

Answer:

y=-2(x-1)^2+5

Step-by-step explanation:

we have

y=-2x^2+4x+3

This is the equation of a vertical parabola open downward

The vertex represent a maximum

Convert the quadratic equation into vertex form

step 1

Factor -2

y=-2(x^2-2x)+3

step 2

Complete the square

y=-2(x^2-2x+1)+3+2

y=-2(x^2-2x+1)+5

step 3

Rewrite as perfect squares

y=-2(x-1)^2+5 ----> equation in vertex form

The vertex is the point (1,5)

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3 years ago
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stealth61 [152]
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If a quadratic function has x-intercepts at 2 = -
PolarNik [594]

Complete question is;

If a quadratic function has x-intercepts at x = -3 and x = -1, one possible equation of the function would be y = (x + 3)(x + 1), a graph that first

decreases until it reaches the vertex, (-3, -1), then increases (opening upward U shape).

So then, if a quadratic function has x-intercepts at x = -2 and x = 2

a. What is the equation of this quadratic function? Explain your reasoning

b. What is the vertex of the equation? Show your work and explain your reasoning.

Answer:

Quadratic equation is; y = x² - 4

Vertex: (0, -4)

Step-by-step explanation:

The x-intercepts are at x = -2 and x = 2. Thus, the equation is;

y = (x - (-2))(x - 2)

y = x² + 2x - 2x - 4

y = x² - 4

Now,the coordinates of the vertex will be (h, k)

Where;

h = -b/2a

k is the value of y at x = h

From y = x² - 4, h = 0

Thus, putting x = h = 0 in the quadratic equation, we have;

y = 0² - 4

y = -4

Thus,the coordinates of the vertex are; (0, -4)

3 0
3 years ago
Help!! i also need the work please!!
alex41 [277]

Answer:

1. $1.40

2.$1.75

Step-by-step explanation:

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2 years ago
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