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cricket20 [7]
3 years ago
12

Write an algebraic expression for “5 times the difference of q squared and r plus 8 times the sum of 3q and 2r”. Then simplify t

he expression and indicate the properties used.
Mathematics
1 answer:
Semmy [17]3 years ago
4 0
Hopefully this is what you are looking for.

5(q^2-r)+8(3q+2r) 
Does this look like what you are currently doing?

5q^2-5r+24q+16r
5q^2+24q+11r

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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. 1+2+4+8+16+32+64+128+256+489=1000
  2. 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.
  3. 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.

4 0
3 years ago
Please help! functions operations.
Zielflug [23.3K]

The Answer is <u>A. 3. :D</u>

3 0
3 years ago
Read 2 more answers
F(x)=x²-3 tell whether the function is quadratic or not?​
Misha Larkins [42]

Answer:

state whether this function is quadratic? why or why not?

f(x) = - 3(x - 2)(x + 3)(x + 5)

7 0
2 years ago
I need help with this quickly
mixas84 [53]

Answer:

1.25y=x

Step-by-step explanation:

If A (or y)=5 and B (or x)=4 then I think the equation will be 1.25y=x

I am sorry if I am wrong :(

But Hope this Helps ;)

7 0
3 years ago
Read 2 more answers
( simultaneous equations)
daser333 [38]

Answer:

See method below.

Step-by-step explanation:

m/n + n/3 = 2

2/m + n = 4    

First  eliminate the fractions by multiplying the first equation by 3n:-

3m + n^2 = 6n...........(1)

and the second equation by m:-

2 + mn = 4m..............(2)

Now we solve using substitution:-

From equation  (2):-

4m - mn = 2

m = 2 / (4 - n)

Now substitute for m in equation (1):-

6/ (4 - n) + n^2 = 6n

6 + n^2(4 - n) = 6n(4 - n)

6 + 4n^2 - n^3 = 24n - 6n^2

n^3 - 10n^2 + 24n - 6 = 0

This will not factor so we could solve this using graphical software.

To find the values of the variable m we substitute the found values of n into one of the original equations and solve for m.






6 0
3 years ago
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