Hi, I'd be glad to help you with this equation!
The answer is (9)
Hope this helps.
Have a great day!
The average rate of change of h(x) in the closed interval [ a, b ] is
Here [a, b ] = [ - 2, 2 ], thus
f(b) = f(2) = × 2³ - 2² = 1 - 4 = - 3
f(a) = × (- 2)³ - (- 2)² = - 1 - 4 = - 5
average rate of change = = =
The length is 4 yards longer than 3width so L = 3W+4
perimeter equal 408 yards
perimeter equal 2L +2W = 2(3W+4)+2W
408 = 6W +8 +2W
400=8W
W = 50
L = 3*50 +4 = 154
L = 154
W = 50
P = 2L +2W
408 = 2*50 +2*154
408 = 100 +308
408 = 408
hope that this is easy understandably
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.
Answer:
x=7
Step-by-step explanation:
now let’s put together the like terms
now we divide 
By 
the result is
