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3 years ago

NEED HELP!! 15 POINTS!!

Mathematics

2 answers:

Serga [27]3 years ago

8 0

Answer:

Step-by-step explanation:

Given the graphs of f(x) and g(x) then the solution to f(x) = g(x) are at the points of intersection of the 2 functions.

That is at the points with x- coordinates

x = - 1 and x ≈ 5.4 → A

aniked [119]3 years ago

4 0

I believe the answer is c

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jaoan reads that themass of an average elephant's brain is 3 4/10 kilograms greater than an average man's brain. how many kilogr

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How many kilograms is a average man's brain?

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3 years ago

Debbie has $460 in a savings account that earns 8% annually. If the interest is not compounded, how much interest will she earn

Bess [88]

She earned $184 in interest
$644 In all

Here's why:
The formula is Interest = Principal x Rate x Time
I = 460 x 8% x 5 or I = 460 x 0.08 x 5. PEMDAS
460(0.08) = 36.8
I = 36.8 x 5
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3 years ago

Read 2 more answers

Consider the equality xy k. Write the following inverse proportion: y is inversely proportional to x. When y = 12, x=5.

skelet666 [1.2K]

Answer:

$y=\dfrac {60} {x}$ or $xy=60$ (depending on your teacher's format preference)

Step-by-step explanation:

<h3><u>Proportionality background</u></h3>

Proportionality is sometimes called "variation". (ex. " 'y' varies inversely as 'x' ")

There are two main types of proportionality/variation:

Direct
Inverse.

Every proportionality, regardless of whether it is direct or inverse, will have a constant of proportionality (I'm going to call it "k").

Below are several different examples of both types of proportionality, and how they might be stated in words:

$y=kx$ y is directly proportional to x
$y=kx^2$ y is directly proportional to x squared
$y=kx^3$ y is directly proportional to x cubed
$y=k\sqrt{x}}$ y is directly proportional to the square root of x
$y=\dfrac {k} {x}$ y is inversely proportional to x
$y=\dfrac {k} {x^2}$ y is inversely proportional to x squared

From these examples, we see that two things:

things that are <u>directly proportional</u> -- the thing is <u>multipli</u>ed to the constant of proportionality "k"
things that are <u>inversely proportional</u> -- the thing is <u>divide</u>d from the constant of proportionality "k".

<h3><u>Looking at our question</u></h3>

In our question, y is inversely proportional to x, so the equation we're looking at is the following $y=\dfrac {k} {x}$ .

It isn't yet clear what the constant of proportionality "k" is for this situation, but we are given enough information to solve for it: "When y=12, x=5."

We can substitute this known relationship pair, and find the "k" that relates this pair of numbers:

<h3><u>Solving for k, and finding the general equation</u></h3>

General Inverse variation equation...

$y=\dfrac {k} {x}$

Substituting known values...

$(12)=\dfrac {k} {(5)}$