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Andrei [34K]
2 years ago
15

Dividing using synthetic division helppp

Mathematics
1 answer:
Likurg_2 [28]2 years ago
3 0
Step 1: Set up the synthetic division. ...
Step 2: Bring down the leading coefficient to the bottom row.
Step 3: Multiply c by the value just written on the bottom row. ...
Step 4: Add the column created in step 3.
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Which of the following equations is of a parabola with a vertex at (3, 0)?
bixtya [17]

Answer:

D. y = (x - 3)²

Step-by-step explanation:

The parabola formula in vertex form is:

y = a(x - h)² + k

where the vertex is located at (h, k). Replacing with vertex (3, 0) we get:

y = a(x - 3)² + 0

y = a(x - 3)²

In all possible options the leading coefficient <em>a</em> is equal to one. Therefore:

y = (x - 3)²

7 0
2 years ago
In 1980, the average monthly rate for basic able TV in the United States was
poizon [28]

The average rate of change in the monthly rate per year is -$0.056 i.e decreases by 0.056 every consecutive year.

Step-by-step explanation:

Step 1; The initial value is $7.69 in 1980 and the final value is $6.13 in 2008.

Difference in values = Final value - initial value = $6.13- $7.69 = -$1.56 (the negative symbol indicates that the cost has gone down with time)

Period between the values =Final year - initial year = 2008 - 1980 = 28 years.

Step 2; To find the rate of change per year, we divide the difference in values in that given period of time by the number of years in that period.

Rate of change per year = Difference in values in that period/ no of years.

                                          = -$1.56 / 28 = -$0.056 (the negative symbol indicates that the cost has gone down with time)

So for every year between 1980 and 2008, the price of the monthly rate for basic able TV reduced by $0.056.

6 0
3 years ago
What are these as equalivalent equations
tatiyna

Answer:

6x - 2(x - 3) and x + 3(x - 2) - 6

The two expresaions that are quivalent are <u>6x - 2(x - 3)</u> and <u>x + 3(x - 2) - 6</u>.

Step-by-step explanation:

First expression which is 4(x - 3) is an example of a binomial that when multiplied together, the product would be 4x - 12. Therefore, second and third expressions are the answer.

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4 0
2 years ago
A farmer has 64 feet of fence to enclose a rectangular vegetable garden. which dimensions would result in the biggest area for t
Blababa [14]
The dimensions that would result to maximum area will be found as follows:
let the length be x, the width will be 32-x
thus the area will be given by:
P(x)=x(32-x)=32x-x²
At maximum area:
dP'(x)=0
from the expression:
P'(x)=32-2x=0
solving for x
32=2x
x=16 inches
thus the dimensions that will result in maximum are is length=16 inches and width=16 inches

7 0
2 years ago
Find the inverse of this 3x3 matrix. [1 5 2]
MissTica
Lets say the 3x3 Matrix is 

M =   [1   5   2 ]
         [1   1   7 ]
         [0  -3   7 ]

We apply the Gauss-Jordan elimination method (Procedure and result shown in the image below)

5 0
3 years ago
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