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ser-zykov [4K]
3 years ago
6

WILL MARK BRAINLIEST!!!!!! PLEASE SHOW ALL WORK NESSISARY!!! SHOW FULL SOLUTIONS!!!!!! THANKS AND GOD BLESS!!!!

Mathematics
1 answer:
Irina-Kira [14]3 years ago
8 0

9514 1404 393

Answer:

  k = -1

Step-by-step explanation:

Put the given value of x in the equation, and solve the resulting equation for k.

  2(5 -3) +k(1 +2·5) = k - 5 - 1

  2(2) +k(11) = k -6 . . . . simplify a bit

  10k = -10 . . . . . . . . . . add -4-k to both sides

  k = -1 . . . . . . . . . . . . . divide by 10

The value of k is -1.

_____

<em>Check</em>

Use k = -1 in the original equation and solve for x.

  2(x -3) -(1 +2x) = -1 -x -1

  2x -6 -1 -2x = -x -2 . . . . eliminate parentheses

  x = 7 -2 = 5 . . . . . . add x+7; answer checks OK

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3 - 2x = 15

-2x = 15 - 3

-2x = 12

x = 12 ÷ 2

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3 years ago
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Given the graph below, which of the following statements is true?
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Answer:

D) The graph does not represent a one-to-one function because the y-values between 0 to 2 are paired with multiple x-values.

Step-by-step explanation:

Let's find the ordered pairs.

(-4, 4), (-3, 2), (-2, 0), (-1, 0.5), (0, 1), (1, 1.5), (2, 2), (3, 0)

The graph passed through above points.

In the x-coordinates -3, 2 gives the same output. Therefore, the given function is not one-to-one.

Therefore, the answer D)

The graph does not represent a one-to-one function because the y-values between 0 to 2 are paired with multiple x-values.

Hope you will understand the concept.

Thank you.

7 0
3 years ago
A dinner table is a perfect circle with a diameter of 8 feet. With dinner plates that each a diameter of exactly 1 foot, how muc
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The area of the tablecloth showing is approximately 45.55 square feet

<h3>What is an area?</h3>

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called as the area of the circle.

It is given that:-

The diameter of the dinner table, D = 8 feet

The diameter of each plate, d = 1 feet

The number of people at the dinner table = 6 people

The number of plates = 6 plates

The area of the table cloth, A₁ = π·D²/4

∴ A₁ = π × 8²/4

The area covered by the 6 plates, A₂ = 6·π·d²/4

A₂ = 6 × π × 1²/4

Let 'A' represent the area of the tablecloth showing when the table is set for six people, we have;

A = A₁ - A₂

∴ A = π × 8²/4 - 6 × π × 1²/4 ≈ 45.55 ft.²

Therefore the area of the tablecloth showing when the table is set for six people, A ≈ 45.55 ft.²

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brainly.com/question/25292087

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3/1

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A. typical value and the spread are both greater in set A.

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