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3 years ago

Is the following relation a function?

Mathematics

1 answer:

dimulka [17.4K]3 years ago

8 0

Answer:

yes

Step-by-step explanation:

A function is any graph that the x values do not repeat.

You can check this by using this vertical line test

Run your finger or a pencil down a specific vertical (top to bottom) line on the graph, if you can see that it intersects into the graph more than once, then it's not a function.

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The three angles of a triangle measure 2x – 6, 3x + 5, and 2x + 20. What is the measure of the smallest angle in degrees

Radda [10]

Answer:

Smallest angle = 40

Step-by-step explanation:

Angle sum property:Sum of all three angles of triangle is 180

2x - 6 + 3x + 5 + 2x + 20 = 180 {Combine like terms}

2x + 3x + 2x - 6 + 5 + 20 = 180

7x + 19 = 180 {Subtract 19 from both sides}

7x = 180 - 19

7x = 161 {Divide both sides by 7}

x = 161/7

x = 23

2x - 6 = 2*23 - 6 = 46 - 6 = 40

3x + 5 = 3*23 + 5 = 69 + 5 = 74

2x + 20 = 2*23 + 20 = 46 + 20 = 66

Smallest angle = 40

8 0

3 years ago

Stephen, Gavin and Jim share some sweets in the ratio 4:1:2. Stephen gets 30 more sweets than Jim. How many sweets are there alt

Nutka1998 [239]

Answer:

$17.00

Step-by-step explanation:

8 0

3 years ago

What is the relationship between 5,000 and 500,000

solong [7]

5000 is 1/100 of the value of 500,000

5 0

3 years ago

Read 2 more answers

'Increased' is a cue word for

AnnyKZ [126]

Answer:

add

Step-by-step explanation:

increased is another word for add

3 0

2 years ago

Read 2 more answers

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5, find the ratio of the smaller number to the larger nu

IgorC [24]

Answer:

$\frac{1}{9}$

Step-by-step explanation:

Let the numbers be x,y, where x>y

The geometric mean is

$\sqrt{xy}$

The Arithmetic mean is

$\frac{x + y}{2}$

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5.

$\frac{ \sqrt{xy} }{ \frac{x + y}{2} } = \frac{3}{5}$

We can write the equation;

$\sqrt{xy} = 3$

$xy = 9 - - - (2)$

and

$\frac{x + y}{2} = 5$

$x + y = 10 - - - (2)$

Make y the subject in equation 2

$y = 10 - x - - - (3)$

Put equation 3 in 1

$x(10 - x) = 9$

$10x - {x}^{2} = 9$

${x}^{2} - 10x + 9 = 0$

$(x - 9)(x - 1) = 0$

$x =1 \: or \: 9$

When x=1, y=10-1=9

When x=9, y=10-9=1

Therefore x=9, and y=1

The ratio of the smaller number to the larger number is

$\frac{1}{9}$

3 0

2 years ago