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3 years ago

State whether it represents a function

Mathematics

1 answer:

Gnom [1K]3 years ago

6 0

Answer:

See below.

Step-by-step explanation:

To be a function the graph must pass the vertical line test. If any of the vertical lines which can be drawn intersects the graph more than once then it's not function.

So Graph 1 is not a function because a vertical line passes through the 2 points in quadrant 1, whereas Graph 2 is a function because any vertical line you can draw only passes through the graph once.

Graph 3 - not a function.

Graph 4 - not a function.

Graph 5 - not a function.

Graph 6 is a function.

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3 years ago

What whole number best approximates the value of x?

ivanzaharov [21]

The answer is 87

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2 years ago

One of the legs of a right triangle measures 7 cm and its hypotenuse measures 12 cm.

Oksana_A [137]

Answer:

AC ≈ 9,7sm

Step-by-step explanation:

AB=7 One side of a right triangle

BC=12 Hypotenuse of a right triangle

AC=?=x The other side of a right triangle

x²+7²=12²

x²=144-49

x²=95

x=√(95) ≈ 9,7

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2 years ago

A rectangle with sides measuring x in. and 4x-1 in. has an area of 663in.^2. What are the dimensions of the rectangle?

serious [3.7K]

9514 1404 393

Answer:

13 in by 51 in

Step-by-step explanation:

The area is the product of the dimensions, so is ...

663 = x(4x -1)

4x^2 -x -663 = 0 . . . . . . subtract 663 to put in standard form

Using the quadratic formula, we can find the solutions.

x = (-(-1) ±√((-1)^2 -4(4)(-663)))/(2(4))

x = (1 ± √10609)/8 = (1 ±103)/8

Only the positive solution is of any use in this problem, so ...

x = 104/8 = 13

4x-1 = 4(13)-1 = 51

The dimensions of the rectangle are 13 inches by 51 inches.

I find it easiest to solve these using a graphing calculator.

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3 years ago