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Rainbow [258]
3 years ago
10

The output is three less than the input

Mathematics
2 answers:
Liono4ka [1.6K]3 years ago
8 0
Call the output f(x)
Call the input x
f(x) = x - 3
nexus9112 [7]3 years ago
7 0

Answer:

y=x-3

Step-by-step explanation:

We have been given a description. We are supposed to represent our given description in an equation.

We know that input of a function is x values and it is independent variable. The output is y values and it is dependent on x.

The output is three less than the input. We can represent this information in an equation as:

\text{Output}=\text{Input}-3

y=x-3

Therefore, our required equation would be y=x-3.

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A new crew of painters takes two times as long as the old painters. Together they can paint in 6 hours. How many hours does it t
babymother [125]
Let n be old painters time. Then the new painters are 2n. So:
1/n+1/2n=1/6
2+1=2n/6
2n=18
n=9
The old painters take 9 hours; the new ones take 18
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3 0
3 years ago
Un carpintero quiere cortar una plancha de triple y de 1m de largo y 60 cm de ancho, en cuadrados lo más grandes posibles. El ca
Ugo [173]

Answer: 20\ cm

Step-by-step explanation:

The first step to solve the exercise is to make the conversion from meters to centimeters.

Since 1\ m=100\ cm, then the dimensions of the wood board in centimeters are:

Lenght=100\ cm\\\\Width=60\ cm

Now, you must find the Greatest Common Factor (GCF). The steps are:

- Descompose 100 and 60 into their prime factors:

100=2*2*5*5=2^2*5^2\\60=2*2*3*5=2^2*3*5

- Multiply the commons with the lowest exponents:

GCF=2^2*5\\\\GCF=4*5\\\\GCF=20

Therefore, the side lenght of each square must be:

s=20\ cm

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E%7B2%7D-5x%2B6%7D%7B2x%5E%7B2%7D-7x%2B6%20%7D" id="TexFormula1" title="\frac{x^{
il63 [147K]

Answer:

\frac{x-3}{2x-3}. hole or removable discontinuity at x=2

Step-by-step explanation:

Well generally if you want the simplest form, you factor each the denominator and numerator and then see if you can cancel any of the factors out (because they're in the denominator and numerator)

So let's start by factoring the first equation:

x^2-5x+6

Now let's find what ac is (it's just c since a=1...)

AC= 6

List factors of -6

\pm1, \pm2, \pm3, \pm6.

Now we have to look for two numbers that add up to -5. It's a bit obvious here since there isn't many factors, but it's -2 and -3, and they're both negative since 6 is positive, and -5 is negative...

So using these two factors we get

(x-2)(x-3)

Ok now let's factor the second equation:

2x^2-7x+6

Multiply a and c

AC = 12

List factors of 12:

\pm1, \pm2, \pm3, \pm4, \pm6, \pm12.

Factors that add up to -7 and multiply to 12:

-3\ and\ -4

Rewrite equation:

2x^2-4x-3x+6

Group terms:

(2x^2-4x)+(-3x+6)

Factor out GCF:

2x(x-2)-3(x-2)

Rewrite:

(2x-3)(x-2)

Now let's write out the equation using these factors:

\frac{(x-2)(x-3)}{(2x-3)(x-2)}.

Here we can factor out the x-2 and the simplified form is:

\frac{x-3}{2x-3}

So we can "technically" define f(2) using the most simplified form, but it's removable discontinuity, so it has a hole as x=2. since it makes (x-2) equal to 0 (2-2) = 0.

8 0
2 years ago
Find the volume of a spere with radius of 7​
choli [55]

Formula for volume of sphere V = 4/3 (Pi) r^3, where Pi ~ 3.14 and r is the radius = 7.

Therefore V = 4/3 * 3.14 * 7^3

= 4/3 * 3.14 * 343

= 4/3 * 1077.02

= 1,436.02667 cubic units

6 0
3 years ago
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yanalaym [24]
7 that is what t should be
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