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Veronika [31]
2 years ago
12

Which sets of values belong to the domain and range of a relation

Mathematics
1 answer:
Ann [662]2 years ago
5 0

Answer:

Domain are the INDEPENDANT , INPUT values

Range are the DEPENDANT , OUTPUT values

Step-by-step explanation:

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Divide f(x) by d(x), and write a summary statement in the form indicated.
Mandarinka [93]

Answer:

The correct option is B)  f(x) =(x^2+1)(x^2+4x+5)

Step-by-step explanation:

Consider the provided function.

f(x) = x^4 + 4x^3 + 6x^2 + 4x + 5 and d(x) = x^2+1

We need to divide f(x) by d(x)

As we know: Dividend = Divisor × Quotient + Remainder

In the above function f(x) is dividend and divisor is d(x)

Divide the leading term of the dividend by the leading term of the divisor:\frac{x^4}{x^2}=x^2

Write the calculated result in upper part of the table.

Multiply it by the divisor: x^2(x^2+1)=x^4+x^2

Now Subtract the dividend from the obtained result:

(x^4 + 4x^3 + 6x^2 + 4x + 5)-(x^4-x^2)=4x^3+5x^2+4x+5

Again divide the leading term of the obtained remainder by the leading term of the divisor: \frac{4x^3}{x^2}=4x

Write the calculated result in upper part of the table.

Multiply it by the divisor: 4x(x^2+1)=4x^3+4x

Subtract the dividend:

(4x^3+5x^2+4x+5)-(4x^3+4x)=5x^2+5

Divide the leading term of the obtained remainder by the leading term of the divisor: \frac{5x^2}{x^2}=5

Multiply it by the divisor: 5(x^2+1)=5x^2+5

Subtract the dividend:

(5x^2+5)-(5x^2+5)=0

Therefore,

Dividend = x^4 + 4x^3 + 6x^2 + 4x + 5

Divisor = x^2+1

Quotient = x^2+4x+5

Remainder = 0

Dividend = Divisor × Quotient + Remainder

f(x) = (x^2+1)(x^2+4x+5)

Hence, the correct option is B)  f(x) =(x^2+1)(x^2+4x+5)

3 0
3 years ago
A miniature golf course recently provided its customers with 8 golf balls, 2 of which were yellow. What is the experimental prob
bonufazy [111]

Answer:

<h2>There is a 25% chances of receiving a yellow golf ball next time.</h2>

Step-by-step explanation:

Givens

  • There are 8 golf balls in total.
  • There are 2 yellow golf balls out of 8.

The experimental probability refers to the ratio between the number of times an even happens and the total number of cases. So,

P=\frac{2}{8}=0.25

Therefore, there is a 25% chances of receiving a yellow golf ball next time.

5 0
3 years ago
Read 2 more answers
Given h (t) = negative 2 (t + 5) squared + 4, find h (negative 8)
kaheart [24]

Answer:

h(-8)= -14

Step-by-step explanation:

h(-8)= -2(-8 + 5)^2  + 4

h(-8)= -2(-3)^2  + 4

h(-8)= -2(9) + 4

h(-8)= -18 + 4

h(-8)= -14

4 0
3 years ago
If m ∠ 1 = 101, what is the value of X?
tankabanditka [31]
The value of x is the value of x :)
3 0
3 years ago
Math question please !!!
Verdich [7]
In the table y is increased 70 for every 1 in x (210/3 = 70) on the graph for every 1 increase on x y increases by 55 (110/2 = 55) so for the graph for x = 11, y =55 x 11 = 605 for the table for x = 11, y = 11*70 = 770 the difference is 770-605 = 165 the 2nd answer is the correct one.
5 0
3 years ago
Read 2 more answers
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