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Pavel [41]
3 years ago
15

Find f(x) and g(x) so the function can be expressed as y = f(g(x)). y = Two divided by x squared. + 3

Mathematics
1 answer:
kodGreya [7K]3 years ago
4 0
Hello,

g(x)=x²+3
f(x)=2/x
so f(g(x))=f(x²+3)=2/(x²+3)

Explainations:

f(y)=2/y
f(4y)=2/(4y)
f(x²)=2/x²
f(x²+3)=2/(x²+3)

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Is 4y=16x a Direct variation
gizmo_the_mogwai [7]

In the given equation, as the value of <em>y</em> increase, the value of <em>x</em> also

increases.

  • Yes, 4·y = 16·x is a direct variation

Reasons:

A direct variation is a relationship that exists between two variables. It is

also known as a direct proportion which can be expressed as; y = k·x

Where <em>k</em> is a number

The given equation is 4·y = 16·x

Dividing both sides by 4 gives;

\displaystyle \frac{4 \cdot y}{4}  = \frac{16 \cdot x}{4} = \frac{4 \times 4 \cdot x}{4}

Which gives;

y = 4·x

Comparing the above equation with the equation for a direct variation gives;

y = 4·x

y = k·x

Therefore;

k = 4

The equation, y = 4·x, and therefore, the equation from which it is derived, 4·y = 16·x, is a direct variation.

Learn more about direct variation here:

brainly.com/question/6499629

6 0
2 years ago
"If you subtract 12 from my number and multiply the difference by -15 ​, the result is -140​." What is ​'s ​number?
Masteriza [31]

Answer:

The answer would be 2.7. Am not very sure though

Step-by-step explanation:

So what you do is

for example the unkown number is x and the answer you get is y

12-x=y * -15=-140

-140/-15=9.33 (this is y the answer)

12-x=9.3

12-9.3=2.7

To check your answer

12-2.7=9.3

9.3 * -15=-139.5 if you round it then it would be -140

6 0
3 years ago
Y=-3.3x+614.5 please help!
pav-90 [236]

Answer:

the answer is 611.2

how,-3.3x

611.2

=6

there before 614.2 there come always+if there is nothing

then,there is- before-3.3x then rule=

<h3>- + +=-</h3>

so we have to substract it

3 0
3 years ago
The theater sells two types of tickets: adult tickets for $15 and
UkoKoshka [18]

Answer:

68

Step-by-step explanation:

Let x=adult tickets and y=child tickets

1) 15x+11y=1889

2) x+y=147

multiply equation 1 by -1/11 on both sides to get:

-(15/11)x-y=-171.73

add new equation with equation 2 to get

-4/11x=-24.73

Isolate x to get:

x=67.99999

Round up to get 68 adult tickets

6 0
3 years ago
What is 1 + 1 will give brainliest
Alexxandr [17]

Answer:

2

Step-by-step explanation:

Jk its window

4 0
2 years ago
Read 2 more answers
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