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Snezhnost [94]
2 years ago
14

[ALGEBRA 2 POLYNOMIAL DIVISION/REMAINDER THEOREM]

Mathematics
1 answer:
castortr0y [4]2 years ago
7 0

Answer:

  k = -4

Step-by-step explanation:

The remainder theorem tells you that the remainder from division f(x)/(x -k) is f(k). You want the value of k such that ...

  f(k) = -15

Looking on the given graph, you find that k must be -4. That is, ...

  f(-4) = -15

  k = -4

_____

The divisor with k=-4 is (x -(-4)) = (x +4). The second attachment shows the division of f(x) by (x+4). The remainder is shown on the bottom line.

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During a concert, $3280 was received. A total of 760 people attended. Reserved seats were $6 and general admission seats were $4
Andre45 [30]

Answer:

The number of reserved seat is 120 and number of general seat is 640.

Step-by-step explanation:

Given,

Total number of seats = 760

Total collected Money = $3280

Solution,

Let the total number of reserved seat be x.

And  the total number of general seat be y

Hence total number of seats is the sum of total number of reserved seat and  the total number of general seats.

So the equation can be written as;

x+y=760\ \ \ \ equation\ 1

Again, total money collected is the sum of fees of one reserved seat times total number of reserved seat and fees of one general seat times the total number of general seats.

So the equation can be written as;

6x+4y=3280\ \ \ \ \ equation\ 2

Now, multiplying equation 1 by 4 and then subtract it from equation 2.

4x+4y=3040

(6x+4y)-(4x+4y)=3280-3040\\\\2x=240\\\\x=\frac{240}{2}=120

On substituting the value of x in equation 1, we get;

x+y=760\\120+y=760\\y=760-120=640

Thus the number of reserved seat is 120 and number of general seat is 640.

8 0
3 years ago
What is the domain of the given function?
EleoNora [17]

Answer:

domain is equal to x. therefore, the domain is all of the x values. x = -6,-1,0,3

Step-by-step explanation:

8 0
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MrRissso [65]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago
Michael's dad is 30 years of age. He is 2 years more than four times Michaels age m. Write and solve a two-step equation to dete
Ksenya-84 [330]

Answer:

The two step equation that we can use to find michael's age is x = (f-2)/4 where f = 30. So Michael is 7 years old.

Step-by-step explanation:

In order to solve this problem we will attribute variables to the ages of Michael and his father. For his father age we will attribute a variable called "f" and for Michael's age we will attribute a variable called "x". The first information that the problem gives us is that Michael's dad is 30 years of age, so we have:

f = 30

Then the problem states that the age of the father is 2 years "more" than four "times" Michaels age. The "more" implies a sum and the "times" implies a product, so we have:

f = 2 + 4*x

We can now find Michael's age, for that we need to isolate the "x" variable. We have:

f - 2 = 4*x

4*x = f - 2

x = (f-2)/4

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The two step equation that we can use to find michael's age is x = (f-2)/4 where f = 30. So Michael is 7 years old.

7 0
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