The trial and error method is used to find an initial factor:
If we let f(x) = x³ - x² - 24x - 36 and all we have to do is sub' in values of x until
f(x) = 0, we can use this to find an initial factor by the factor theorem:
f(1) = (1)³ - (1)² - 24(1) - 36 = -60
f(2) = (2)³ - (2)² - 24(2) - 36 = -80
f(5) = (5)³ - (5)² - 24(5) - 36 = -56
*** f(6) = (6)³ - (6)² - 24(6) - 36 = 0 ***
f(6) = 0 so (x - 6) is a factor of f(x).
This means that: f(x) = x³ - x² - 24x - 36 = (x - 6)(ax² + bx + c).
To find a,b and c, use long division (or inspection) to divide x³ - x² - 24x - 36 by x - 6.
The other 2 factors of f(x) can then be found by factorizing the
ax² + bx + c quadratic the way you would with any other quadratic (i.e. by quadratic formula, CTS or inspection).
Answer: The Millers need 15 gallons of water for 6 minutes.
Lets start by finding how much water is needed for 1 min shower.
<span>
25 gallons of water is used for 10 min shower:
</span>10 mins = 25 gallons <span>
To find 1 min shower, we will divide the 25 gallons of water by 10.
</span><span>
10 mins = 25 gallons </span>← Divide by 10 on both sides<span>
÷ 10 ÷ 10
1 min = 2.5 gallons
Now that we know the Millers need 2.5 gallons for every 1 minute of shower, we can find 6 minutes of shower by multiplying by 6.
1 min = 2.5 gallons</span> ← Multiply 6 on both sides<span>
x6 x6
6 min = 15 gallons
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Answer: The Millers need 15 gallons of water for 6 minutes.
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</span>
The unit rate here is 2 pounds of trash in an hour. If two pounds of trash are picked up in an hour, we can multiply that by 3 and get that there will be 6 pounds picked up in 3 hours.
A. IS THE ANSWER!
STEP-BY-STEP Explainaton
Answer:
16.028 yards
Step-by-step explanation:
1 inch=0.0833333 foot
24 inches=0.0833333×24
=1.9999992 foot
The mirror is square shaped and each side is 24 inches
If each 24 inches=1.9999992 foot
Then,
4 sides of 24 inches=1.9999992×24
=47.9999808 foot
Maria has 1 foot of trim left
Total Length of trim when she started=47.9999808+0.0833333
=48.0833141 foot
=16.02777136667 yards
Approximately,
16.028 yards
