1) Use the Euclidean Algorithm to nd the greatest common divisor of 71407 and 2020. (Write down all of the steps, so that you are ready).
2) Use the method of back substitution to nd integers x; y such that 71407x + 2020y = d, where d = gcd(71 407, 2020).
3) Use the array method to solve the equation in (b).
4) Explain, why there is no solution in integer numbers of the equation 71407x + 2020y = 1?

F(x)=|x| is shifted down 4 units and to the right 3 units.

Simonne used the following steps to simplify the given expression. 12 - 3(-2x + 4) step 1: 12 + (–3)·(–2x) + (–3)·(4) step 2: 12 + 6x + (–12) step 3: 12 + (–12) + 6x step 4: 0 + 6x step 5: 6x what property of real numbers was used to transition from step 3 to step 4? a. identity property of addition b. inverse property of addition c. associative property of addition d. commutative property of addition

16. you're planning to buy a boat, a motor, and some miscellaneous boating equipment. the boat costs $325, the motor costs $225, and the equipment costs $79. if you've saved $438 toward these purchases, how much more do you need to save? a. $181 b. $281 c. $291 d. $191