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3 years ago

can you write an equation by setting an expression equal to itself. would an equation like this be true

2 answers:

8 0

Of course ! An expression is <u>always</u> equal to itself.

But if there's, say, an 'x' in the expression, then such an equation would be true
for x=every possible number. You might say it has an infinite number of solutions ...
which certainly has to be true, because no matter what you do to an expression,
it's still always equal to itself !

tensa zangetsu [6.8K]3 years ago

4 0

Yes it would be as long as it truly equals eachother

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Question1) Describe three scenarios that involve a real-world linear or exponential function. At least one must be exponential.

elixir [45]

Answer:

1) Let's suppose that you go in a straight line, in a car that moves at a constant speed of 80km/h.

Then the distance from your house (assuming that you start the drive in your house) can be modeled with a linear equation:

D(t) = 80km/h*t

where t is time in hours.

This will be a linear function.

2) Suppose that you have a population of some animal, that grows by 2% each month, and initially, there are 100 individuals of that animal.

Then the first month, the population is 100.

The second month the population increased by a 2%, then it will be:

100 + 100*0.02 = 100*(1.02)

The third month, the population will be 100*(1.02) + 0.2*100*(1.02) = 100*(1.02)^2.

and so on, this is an exponential relation, where the population as a function of the number of months, can be written as:

P(m) = 100*(1.02)^(m - 1)

3) Suppose that you have $100 saved, and each month you can save another $80, let's find a function that says the amount of money that you have saved as a function of the number of months. S(m)

The month number zero (before you started saving) you had $100 saved.

S(0) = $100.

One month after, you have saved $80 more, then you have:

S(1) = $100 + $80

Another month after, you have:

S(2) = $100 + $80 + $80 = $100 + 2*$80

And so on, you already can see the pattern, after m months, you will have:

S(m) = $100 + m*$80 saved.

5 0

2 years ago

Seventeen minus the quotient of twelve and six is the equivalent to which of the following?

KATRIN_1 [288]

Answer:

It should be the first on the list 17 - 12/6

Step-by-step explanation:

if I replace the words in your sentence, you have

17 minus the 12/6

get

17 - 12/6

3 0

3 years ago

If y varies directly as x and inversely as z,what is the correct equation describing the relationship between x,y,and z?

vovangra [49]

<h2>VARIATION</h2>

$\rm\large{Hi!!}$

<h3>QUESTION:</h3>

If y varies directly as x and inversely as z,what is the correct equation describing the relationship between x,y,and z?

<h3>ANSWER:</h3>

The givén problem is an ēxample of <u>Combinēd </u><u>Variation</u>. So the córrect equation for this problem is this:

$y = \frac{kx}{z}$

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Hi, Im Daubechies, a Filipina user ≧▽≦

7 0

3 years ago

If the unit selling price is 2.50 and the unit cost is 1.00 what action is needed to maintain the gross margin percentage when u

Maru [420]

The original gross margin is (2.50 / 1.00) - 1 = (2.5 - 1) = 1.5 = 150%

the cost increases 0.25, is an increase of (0.25 / 1.00) = 25%

in order to keep the same gross margin, you need to increase the sale price by 25%

2.50*1.25 = 3.125

Then the gross margin is (3.125 / 1.25) - 1 = (2.5 - 1) = 1.5 = 150% ( same as original )

6 0

3 years ago

The total height of an office building b and the granite statue that stands on top of it g is 326.6 feet. The difference in heig

Zepler [3.9K]

Answer: The height of building is 311 feet and the height of statue is 15.6 feet.

Step-by-step explanation:

Let the height of the building be 'b' and the height of the statue be 'g'.

Then according to the question, we get the following equation

$b+g=326.6.......(1)\\b-g=295.4............(2)$