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sveta [45]
3 years ago
8

The ordered pairs in the table below represent a linear function.

Mathematics
1 answer:
GenaCL600 [577]3 years ago
5 0

Answer:

\displaystyle m=2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)
  • Slope Formula: \displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (6, 2)

Point (9, 8)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

  1. Substitute in points [Slope Formula]:                                                            \displaystyle m=\frac{8-2}{9-6}
  2. [Fraction] Subtract:                                                                                         \displaystyle m=\frac{6}{3}
  3. [Fraction] Divide:                                                                                            \displaystyle m=2
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choli [55]

Answer:

y = \frac{20}{21} x²

Step-by-step explanation:

Given that y and x² are directly proportional then the equation relating them is

y = kx² ← k is the constant of proportion

When x = 2

y = k × 2² = 4k

When x = 5

y = k × 5² = 25k

Then

25k - 4k = 20 ( difference between values is 20 )

21k = 20 ( divide both sides by 21 )

k = \frac{20}{21}

y = \frac{20}{21} x² ← equation of proportion

6 0
3 years ago
Three friends went out to eat dinner the bill came to 35.60 the three friends also decided to leave a 6.00 tip if they shared th
vfiekz [6]

Answer:

13.87

Step-by-step explanation:

Three friends went out to eat dinner the bill came to 35.60. This means that the total bill for the dinner was 35.60.

The original bill was 35.60. If they shared the bill equally, the amount that each of them would pay would be

Total bill / number of friends

It becomes 35.60/3 = 11.87

The three friends also decided to leave a 6.00 tip and it was sent equally. This means that each friend would pay a tip of

6/3 = 2. ( total amount of tip paid divided by the number of friends)

Therefore, the total amount that each has to pay = amount each paid for the bill + amount that each paid for the tip

= 11.87 + 2 = 13.87

7 0
3 years ago
What’s the inverse of 4x + 12
stiks02 [169]

Answer:

1/4x -3

Step-by-step explanation:

To find the inverse of a function, exchange x and y and then solve for y

y =4x+12

Exchange x and y

x = 4y+12

Solve for y

Subtract 12 from each side

x-12 = 4y+12-12

x-12 = 4y

Divide by 4

(x-12)/4 = 4y/4

The inverse is

1/4x -3

8 0
3 years ago
What is the answer to EVAULATE 8+-9+-6
LenKa [72]

Answer:

11

Step-by-step explanation:

8 + 9 + -6

8 + 9 = 17

17 + (-6) = 11

Answered by Gauthmath

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3 years ago
Factor by grouping. 9c^3-12c^2+18c-24
xeze [42]

Answer:

9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4]

Step-by-step explanation:

Given

9c^3 - 12c^2 - 18c - 24

Required

Factor

Group into 2

[9c^3 - 12c^2] - [18c + 24]

Factorize each group

3c^2[3c - 4] - 6[3c - 4]

Factor out 3c - 4

[3c^2 - 6][3c - 4]

Hence:

9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4]

8 0
3 years ago
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