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2 years ago

Can someone help please?

Mathematics

1 answer:

Vlada [557]2 years ago

5 0

Answer:

Step-by-step explanation:

Vertex of the given parabola = (1, -4)

Since, vertex form of a parabola is given by,

y = (x - h)² + k

Here (h, k) is the vertex

Now substitute the coordinates (1, -4) in the equation.

y = (x - 1)²- 4 [Vertex Form]

Further solve this equation,

y = x² - 2x + 1 - 4

y = x² - 2x - 3 [Standard form]

Further write this equation in the factored form,

y = x² - 3x + x - 3

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

y = (x + 1)(x - 3) [Factored form]

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Line AB contains points A(4, 5) and B(9.7). What is the slope of AB?

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Step-by-step explanation:

line up the points and label them XYX2 and Y2. Then subtract X2 minus X1 below Y2 minus Y1 then you will get the slope. In this case it is 2/5 .

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2 years ago

you depsoit the same amount of money in a bank account each month. you deposit a total of $780 in 1 year. How many months does i

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Answer:

35 months

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2 years ago

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The figure shows a kite inside a rectangle. Which expression represents the area of the shaded region? 2x2 4x2 6x2 8x2

Savatey [412]

The picture in the attached figure

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4 0

2 years ago

Read 2 more answers

Divide using synthetic division. ( x^4-12x^2-9)/(x+3)

Firdavs [7]

Answer:

x^3 - 3x^2 - 3x + 9 + (-36/(x+3))

x^3 - 3x^2 - 3x + 9 - (36/(x+3))

Step-by-step explanation:

First set the divisor equal to 0:

x + 3 = 0

Subtract 3 from both sides

x = -3

This is what you'll divide the dividend by in synthetic division.

Take the coefficents of each term in the dividend. Do not forget the 0 placeholders:

x^4 + 0x^3 - 12x^2 + 0x -9

Coefficents: 1. 0. -12. 0 -9.

Please see the image for the next steps.

The remainder is -36. Put the remainder over the divisor and add it to the polynomial (shown in image)

-36/(x+3)

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2 years ago