3 years ago

Help with some algebra please?

1 answer:

7 0

Vertex form is f(x) = a(x - b)^2 + c where the vertex is (b, c) and a is some constant.

So for the first part we have f(x) = a(x + 6)^2 - 1

for root -9:- a( -9+6)^2 - 1 = 0
9a - 1 = 0 , a = 1/9

The other 3 are derived in the same way.
so required equation is f(x) = (1/9)(x + 6)^2 - 1

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tensa zangetsu [6.8K]

Answer:

(x, y) =(2,-3)

Step-by-step explanation:

4x+3y=-1

3x-9y=33 /:3

4x+3y=-1.....(1)

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(1)+(2): 5x=10

x-3y=11

x=10/5

x-3y=11

x=2

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x=2

-3y=11-2

x=2

-3y=9

x=2

y=9/(-3)

x=2

y=-3

(x,y)=(2,-3)

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For this case we have that by definition, the equation in the form of slope-intersection is given by:

$y = mx + b$

Where

m is the slope

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We have:

$-4 = m * 2-2\\-4 = 2m-2\\-4 + 2 = 2m\\-2 = 2m$

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Thus, the equation is given by:

$y = -x-2$

Answer:

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See attached image

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3 years ago

Anja collected data about the number of dogs 9th-grade students own. She created this histogram to represent the data and determ

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D) <span>She is correct; the histogram is skewed to the right because there is less data on the right side.</span>

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You should find that your system doesn't have solutions. This is also confirmed by the fact that the determinant of the matrix of the coefficient of the variables x, y and z is equal to zero.

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3 years ago

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Y_Kistochka [10]

Answer:

1. $264.52 is the remaining 68%

2. Sales tax is $19.83

3. The total price is 283.83

Explanation:

1. 389 times 0.68 will get you an answer of $264.52

2. 264.52 times 0.075 is $19.83

3. Add your two answers of $264.52 and $19.83 and you'll get your answer of $283.83

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3 years ago