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maxonik [38]
3 years ago
14

One to one function and value

Mathematics
1 answer:
kicyunya [14]3 years ago
7 0

Answer:

yes

Step-by-step explanation:

no two points have the same y value

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Answer:

What is the answer you're looking for?

Step-by-step explanation:

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For the second problem do I add, divide, subtract or multiplied
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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

or

xy = 9 -  -  - (2)

l

and

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

or

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}

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Answer:

y = 2x + 60

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so the slope is 10/5 or 2, since the graph goes up by 10 and over by 5.

so plug into the equation, and you get y = 2x + b

Next, pick a point on the graph, and plug in the x and y coordinates,

for example:

(x,y) = (5,70)

so, 70 = 2(5) + b

then solve for b

60 = b

Then rewrite the equation

y = 2x + 60

4 0
3 years ago
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