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
X - 2y = -29
x - y = -11
first solve for x in the first equation;
x = 2y - 29
now substitute it into the second equation;
x - y = -11
2y - 29 - y = -11
y - 29 = -11
solve for y;
y - 29 = -11
y = -11 + 29
y = 18
solve for x by substituting what y equals;
x = 2y - 29
x = 2(18) - 29
x = 7
so your answer is, (7, 18)
hope this helped!! blessings x
Answer:
divide 227.50 by 26
Step-by-step explanation:
8.75
Your current balance if you started the day with $100 in your account is $73
First step is to calculate the total cash at bank
Using this formula
Total Cash at bank= Cash at bank + Deposit
Let plug in the formula
Total Cash at bank=$100+90
Total Cash at bank=$190
Second step is to calculate the amount debited
Debit amount=($60+$3)+($34+$20)
Debit amount=$63+$54
Debit amount=$117
Now let determine your current balance
Current balance=Total cash at bank-Amount debited
Let plug in the formula
Current balance=$190-117
Current balance=$73
Your current balance if you started the day with $100 in your account is $73
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