Answer: A
Step-by-step explanation:
Staar testtt
It helps immensely if you know your times tables.
a) 36 = 6*6 = 2*3*2*3 = 2^2*3^2
b) 45 = 5*9 = 5*3*3 = 3^2*5
c) 2 is not a common factor; 3^2 is a common factor; 5 is not a common factor. The greatest common factor is 3^2 = 9.
d) The least common multiple can be found a couple of ways.
.. 1) the product of the distinct factors to their highest powers
.. .. .. 2^2 * 3^2 * 5 = 180
.. 2) the product of the numbers divided by their greatest common factor.
.. .. .. 36 * 45 / 9 = 180
1. 4
2. 12
3. 6
4. 18
5. 2
6. 4
7. 7
8. 15
9. 9
G(-3) = -3-7 = -10;
f(g(-3))=f(-10) = 2 x (-10) + 5 = - 20 + 5 = -15.
He wrote the number 1892, because:
The number needs to be less than 2000, with four digits. Because the first is half the last, it means that the number must be 1??2.
These two numbers add up to 3, and all together, they need to add to 20. 20-3=17. The remaining numbers need to add to 17.
The only two single digit numbers that can add to 17, are 8 and 9. Therefore, the number must either be 1892 or 1982.
The second digit needs to be even, meaning that the number has to be 1892.
I hope this helps.
