The values of the equation will be:
9. 12x - 1
10. -50 - x
11. -x + 14
12. x³ - 4y - 4
13. 8 - 6x
14. 288 - 1080x
15. 420 - y
16. 66 + 7y - 9x
<h3>How to compute the equation?</h3>
9. 4(3x+ 2) - 9
12x + 8 - 9
12x - 1
10. √144 – (62 –x)
12 - (62 - x)
-50 - x
11. (28 ÷ 4) – (x + 7)
7 - x + 7
= -x + 14
12. x³ – 4y - (6 + 2)
x³ - 4y - 4
13. 64 ÷ 8) – (x • 6)
= 8 - 6x
14. 72 (4 - 15x)
288 - 1080x
15. 4(√144 + 93)–y
4(12 + 93) - y
= 420 - y
16. 54 + 7y – (8 + 9x)
= 66 + 7y - 9x
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3a - 6b = 3 • (a - 2b)<span> =
a-2b/4</span>
The answer would be x^2-6x-16
Explanation:
y=(x-3)^2 -25
(x-3)(x-3)-25
x^2-3x-3x+9-25
x^2-6x-16
(a) The inverse of 1234 (mod 4321) is x such that 1234*x ≡ 1 (mod 4321). Apply Euclid's algorithm:
4321 = 1234 * 3 + 619
1234 = 619 * 1 + 615
619 = 615 * 1 + 4
615 = 4 * 153 + 3
4 = 3 * 1 + 1
Now write 1 as a linear combination of 4321 and 1234:
1 = 4 - 3
1 = 4 - (615 - 4 * 153) = 4 * 154 - 615
1 = 619 * 154 - 155 * (1234 - 619) = 619 * 309 - 155 * 1234
1 = (4321 - 1234 * 3) * 309 - 155 * 1234 = 4321 * 309 - 1082 * 1234
Reducing this leaves us with
1 ≡ -1082 * 1234 (mod 4321)
and so the inverse is
-1082 ≡ 3239 (mod 4321)
(b) Both 24140 and 40902 are even, so there GCD can't possibly be 1 and there is no inverse.
