Given the function f(x)=-x+3, find the value of f(13).

Mathematics

2 answers:

Otrada [13]3 years ago

3 0

F(13) means x equals 13.

Replace x in the equation with 13 and solve:

-13 + 3 = -10

F(13) = -10

bija089 [108]3 years ago

3 0

Answer:

-10

Step-by-step explanation:

if the x in f(x) is 13, then the x in the equation is 13 and there is a negative sign in front so it is negative 13 plus 3 which is negative 10

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A kilogram of seawater contains 1/40 kg of salt. How much salt is there in two buckets of seawater, which contain 500 liters of

never [62]

Two buckets of seawater contain $13\frac{28}{40}$ kg of salt.

Step-by-step explanation:

Amount of salt in 1 kg water = $\frac{1}{40}\ kg$

It is given that;

1 liter = $1\frac{12}{125} = \frac{137}{125}\ kg$

500 liters = $500*\frac{137}{125} = \frac{68500}{125}$

500 liters = 548 kilogram

As,

1 kg of seawater = $\frac{1}{40}\ kg$ of salt

548 kilograms = $\frac{1}{40}*548$

548 kilograms = $13\frac{28}{40}$ kilograms of salt

Two buckets of seawater contain $13\frac{28}{40}$ kg of salt.

Keywords: unit rate, multiplication

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3 years ago

You are given 1000 one dollar bills and 10 envelopes. Put the bills into the envelopes in such a way that someone can ask you fo

taurus [48]

Answer:

We can do it with envelopes with amounts $1,$2,$4,$8,$16,$32,$64,$128,$256 and $489

Step-by-step explanation:

Observe that, in binary system, 1023=1111111111. That is, with 10 digits we can express up to number 1023.

This give us the idea to put in each envelope an amount of money equal to the positional value of each digit in the representation of 1023. That is, we will put the bills in envelopes with amounts of money equal to $1,$2,$4,$8,$16,$32,$64,$128,$256 and $512.

However, a little modification must be done, since we do not have $1023, only $1,000. To solve this, the last envelope should have $489 instead of 512.

Observe that:

1+2+4+8+16+32+64+128+256+489=1000
Since each one of the first 9 envelopes represents a position in a binary system, we can represent every natural number from zero up to 511.
If we want to give an amount "x" which is greater than $511, we can use our $489 envelope. Then we would just need to combine the other 9 to obtain x-489 dollars. Since $x-489\leq511$ , by 2) we know that this would be possible.