Answer:
The first one is y = 8 and the second one is y = 4.
Step-by-step explanation:
You plug the numbers in for x and then solve the equations.
Answer:
60 +24 = 84
Step-by-step explanation:jjjjjhjhjhj
6 x 4 +5 x 12
1/6 If you have a graphing calculator, it would be simple to type in the fraction as a division equation then type MATH, ENTER, ENTER.
200 x 4 =. 800 + remainder 3 = to 803 803 divided by 4 = 200.75
You did it right (almost, I got 21 instead of 19) but didn't finish. You need to show your discriminant is never negative.
x² + (p+1)x = 5-2p
x² + (p+1)x +(2p-5) =0
Real roots mean a positive (or at least non-negative) discriminant:
D = b² - 4ac = (p+1)² - 4(1)(2p - 5) = p² + 2p + 1 - 8p + 20
D = p² - 6p + 21
It's not totally obvious that D>0; we prove that by completing the square by noting
(p-3)² = p² - 6p + 9
so
p² - 6p = (p-3)² - 9.
D = p² - 6p + 21
D = (p-3)² - 9 + 21
D = (p-3)² + 12
Now we clearly see D>0 always because the squared term can't be negative, so D is always at least 12. We always get two distinct real roots.
