If x = 1, then 3*1 = 3 which when modded with 5, we get 3 as a remainder. In other words, 3/5 = 0 remainder 3. We don't use the quotient at all when it comes to modular arithmetic. All we care about is the remainder.
If x = 2, then 3*2 = 6 which leads to remainder 1 when we divide by 5. Therefore, 3x = 1 (mod 5) when x = 2.
If x = 3, then 3*3 = 9 = 4 (mod 5) because 9/5 = 1 remainder 4.
So 3x = 4 (mod 5) when x = 3.
<h3>The final answer is C) 3</h3>
We don't need to check D since x = 3 is a solution and it's smaller than x = 4.
If you wanted to check x = 4, then 3*4 = 12 = 2 (mod 5) because 12/5 yields a remainder of 2.
Answer:
I don't know if this is correct but wouldn't it be 560?
Step-by-step explanation:
If you have 10 on one side, you divide 10 by 1/4 to get 40. So you need 40 blocks to fill one side, and 3 1/2 on the other only needs 14. 14*40=560.
Answer:
y = 3(x - 4)^3 - 3
Step-by-step explanation:
A vertical stretch factor 3 is given by 3x^3. Horizontal shift 4 to the right is given by 3(x - 4)^3. Finally we add -3 to this function to move it 3 units down.
Answer is y = 3(x- 4)^3 - 3
Answer:
Carmen bought 5 pounds of coffee
Step-by-step explanation:
The cost of buying coffee is $8.44 per pound. Let us assume she bought x pound of coffee, this means that she spent $8.44x on coffee.
She went to the coffee store with $80 gift card and left with $37.80, this means that after spending $8.44x from the initial $80, she had $37.80. To find the number of pounds she bought, we are to use the following equation:
80 - 8.44x = 37.80
8.44x = 80 - 37.80
8.44x = 42.2
x = 42.2/ 8.44 = 5
x = 5 pounds.
Carmen bought 5 pounds of coffee
