Answer:
The answer is D.
Step-by-step explanation:
3x*3x = 9x^2
3x*2= 6x
5*3x=15x
5*2=10
6x+15x=21x
9x^2+21x+10

means to say there is some

such that

. Similarly,

is equivalent to saying there exists
![k_2[/te]x such that [tex]n=dk_2](https://tex.z-dn.net/?f=k_2%5B%2Fte%5Dx%20such%20that%20%5Btex%5Dn%3Ddk_2)
.
Now,

, i.e. there is some

such that

is a multiple of

, i.e.

.
Answer:
$6.49
Step-by-step explanation:
Pennies = 8% of 50 =4 ; 4x0.01 = 0.04
Dimes = 30% of 50 = 15 ; 15x0.10 = 1.50
Nickels = 10 + 4(number of pennies) = 14; 14x 0.05 =0.70
Quarters = 50 - 33 (total pennies + dimes + nickels ) = 17 ; 17x0.25=4.25
Therefore total amount in bag = 0.04+1.50+0.70+4.25 = $6.49
Answer:
Step-by-step explanation:
Question:
Prove the following statement directly from the definitions.
The difference of any two rational numbers is a rational number.
Answer, see attachment for proof.