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Eddi Din [679]
2 years ago
6

Which of the following is a linear function? (89 POINTS)HURRY PLSSSSS

Mathematics
1 answer:
Dennis_Churaev [7]2 years ago
8 0
<h3>Solution:</h3>

A linear function is a straight line formed on a coordinate plane.

<u>To classify an equation as a linear function:</u>

  • It must not have any exponent in the equation.
  • If there is a fraction, the denominator of that fraction must not multiply by x.

If any of these two occurs in an equation, the line can form a curve in a line, which is a non-linear function. A non-linear function is a curved line formed on a coordinate plane.

<u>Option A - y = x³ + 1:</u>

  • This equation has an exponent in the variable x. Hence, this is a non-linear function.

<u>Option B - 5x/6 = y - 4:</u>

  • This equation has no exponents in the equation. Hence, this is a linear function and also our answer.

<u>Option C - y = 8x²</u>

  • This equation has an exponent in the term 8x². Hence, this is a non-linear function.

<u>Option D - y = 1/5x</u>

  • The denominator of the fraction on the RHS side is multiplied by x. Hence, this is not a linear function.

Hence, Option B is correct.

<u>Learn more about </u><u>linear functions</u><u>:</u> brainly.com/question/15253497

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What is real world meaning
grin007 [14]

The definition of a real-world equation is an equation that could perhaps occur in real life, for things like construction.

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7 0
3 years ago
Does anyone know 1/4 x ? = -2?
SSSSS [86.1K]

Answer:

-8

Step-by-step explanation:

1/4 x = -2

You want the value of x. x is being multiplied by 1/4. To get x alone on the left side, you need to divide both sides by 1/4. Dividing by 1/4 is the same as multiplying by 4.

Multiply both sides of the equation by 4.

4 * 1/4 x = -2 * 4

4 * 1/4 = 1, so on the left side you get 1x which is just x.

x = 8

Answer: -8

8 0
3 years ago
Read 2 more answers
An employee has been stealing funds from the company for years. Which of the following control methods would have most likely un
nasty-shy [4]

Answer:

Complete a bank reconciliation

Step-by-step explanation:

A bank reconciliation is the process where the financial records of the bank is compared with the firm's financial record. If an employee has been stealing funds from the company, there would be a discrepancy between the figures provided by the record.

In a bid to know the reason for the discrepancy, the theft would be detected

8 0
2 years ago
A sequence is defined by the recursive function f(n 1) = one-halff(n). if f(3) = 9 , what is f(1) ?
Afina-wow [57]

The  value of f(1) = 81

Step-by-step explanation:

For the recursive function, f(n+1) = one-half(n)

Thus, when n = 2,

f(3) = 9

If n = 1,

f(2) = 9×3

f(2) = 27

If n = 0,

f(1) = 27 ×3

f(1) = 81

Learn more about Functions:

brainly.com/question/11624077

#SPJ4

4 0
2 years ago
One Sunday, 120 days before Christmas, Aldsworth store publishes an advertisement saying ‘120 shopping days until Christmas'. Al
Lena [83]

Answer:

(a)18

(b)1089

(c)Sunday

Step-by-step explanation:

The problem presented is an arithmetic sequence where:

  • First Sunday, a=1
  • Common Difference (Every subsequent Sunday), d=7

We want to determine the number of Sundays in the 120 days before Christmas.

(a)In an arithmetic sequence:

\text{The nth term}, T_n=a+(n-1)d\\T_n \leq 120\\$Therefore:$\\1+7(n-1) \leq 120\\1+7n-7\leq 120\\7n-6\leq 120\\7n\leq 120+6\\7n\leq 126\\$Divide both sides by 7$\\n\leq 18

Since the result is a whole number, there are 18 Sundays in which Aldsworth advertises.

Therefore, Aldsworth advertised 18 times.

(b)Next, we want to determine the sum of the first 18 terms of the sequence

1,8,15,...

\text{Sum of a sequence}, S_n=\frac{n}{2}( 2a+(n-1)d)\\S_{18}=\frac{18}{2}( 2*1+(18-1)*7)\\=9(2+17*7)\\=9(2+119)\\=9*121\\S_{18}=1089

The sum of the numbers of days published in all the advertisements is 1089.

(c)SInce the 120th day is the 18th Sunday, Christmas is on Sunday.

6 0
3 years ago
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