X=(6+3\sqrt(19))/(5),(6-3\sqrt(19))/(5)
x=3.81533936,-1.41533936
Answer:
y = x² + 38x + 311
Step-by-step explanation:
If a polynomial has rational coefficients and irrational roots, then the roots must be conjugate pairs.
y = (x − (-19-5√2)) (x − (-19+5√2))
y = (x + 19+5√2) (x + 19−5√2)
Use FOIL to distribute:
y = x² + x (19−5√2) + x (19+5√2) + (19+5√2)(19−5√2)
y = x² + 19x − 5√2 x + 19x + 5√2 x + (19+5√2)(19−5√2)
y = x² + 38x + (19+5√2)(19−5√2)
Use FOIL to distribute the last term:
y = x² + 38x + 19² − 95√2 + 95√2 − 50
y = x² + 38x + 361 − 50
y = x² + 38x + 311
Answer:

Step-by-step explanation:
Let's set up a proportion.

He can peel 125 oranges in 5 hours. First, let's find the minutes in 5 hours.
There are 60 minutes in 1 hour, so multiply 60 and 5 (60*5=300). There are 300 minutes in 5 hours.

We don't know how many oranges he can peel in 12 minutes. So we say he can peel x oranges in 12 minutes.


Solve for x by isolating it. x is being divided by 12. The inverse of division is multiplication. Multiply both sides of the proportion by 12.




Rob can peel 5 oranges in 12 minutes.
Answer: 3
Step-by-step explanation: There can be none, one, or infinite solutions. Therefore there can be up to three possible solutions to an inequality.
Answer:
$6000
Step-by-step explanation:
$1200/5years =$240/1yr
$240=4%
:. 1%=$60
Initial investment =$60*100%=$6000