18 gallons because 1/3 equals 2/6 and 3/6 equals 1/2 so 3 gallons is 1/6. then just 6×3
When the profit is 0; then P(t)=0
You have this equation:
t⁴-5t²+4=0
Then, you have to do the following change:
t²=z
you have this other equation:
z²-5t+4=0
Now, you can solve this square equation:
z=[5⁺₋√(25-16)]/2=(5⁺₋√9)/2=
you have two solutions for z.
z₁=(5-3)/2=1
z₂=(5+3)/2=4
Now; if z=1; then
t²=z
t²=1
t=⁺₋√1
We have two solutions:
t=-1 this is not a valid solution:
t=1;
Then in 2001 (2000+t=2000+1=2001) the profit was 0.
If z=4, then:
t²=z
t²=1
t=⁺₋√4
We have two solutions:
t=-2 this is not a valid solution:
t=2;
Then in 2002 (2000+t=2000+2=2002) the profit was 0.
Answer: the yeares in which the profict was 0, were 2001 and 2002.
Answer:
( x - 4 )^2 + ( y + 5 )^2 = 9^2
Step-by-step explanation:
equation of a circle: ( x - h )^2 + ( y - k )^2 = r^2
( h, k ) is the center and r is the radius.
Answer:
Step-by-step explanation:
3 inches of snow per hour. Hope that helps
Answer:
y = 21
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
y = -4x + 9
<em>x</em> = -3
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em> [Equation]: y = -4(-3) + 9
- Multiply: y = 12 + 9
- Add: y = 21