Answer:
x = 2/3 or x = -1
Step-by-step explanation by completing the square:
Solve for x:
3 x^2 + x - 2 = 0
Divide both sides by 3:
x^2 + x/3 - 2/3 = 0
Add 2/3 to both sides:
x^2 + x/3 = 2/3
Add 1/36 to both sides:
x^2 + x/3 + 1/36 = 25/36
Write the left hand side as a square:
(x + 1/6)^2 = 25/36
Take the square root of both sides:
x + 1/6 = 5/6 or x + 1/6 = -5/6
Subtract 1/6 from both sides:
x = 2/3 or x + 1/6 = -5/6
Subtract 1/6 from both sides:
Answer: x = 2/3 or x = -1
Answer:
C) 50°
Step-by-step explanation:
Answer:
Mochi
Step-by-step explanation:
Mochi
Each week theres a increase of 4 in Mochi's weight. So you will add 4 twice to get to the 5th week.
4th week : 17
5th week : 21
Kappa
In 4 weeks Kappa weighed 14, which is less that Mochi at the pace Kappa is going at.
on the 3rd week Kappa weighed 11
and 2nd week Kappa weighed 5
and 1st week Kappa weighed 3
Looking at the graph, we can give a rough estimate on the 5th week it's going to be 16 or 17 either way making Mochi heavier.
step 1
convert pounds to ton
1 ton------> 2204.62 lb
<span>each crate weighs 80 pounds
so
by proportion
1/2204.62=x/80
x=80/2204.62-----> x=0.036 ton
each crate weighs 0.036 ton
step 2
divide 2 ton by 0.036
2/0.036=55.11 crate----------> 55 crate
the answer is
</span>the greatest number of crates that can be loaded onto the elevator is <span>55
alalternative method
</span>step 1
convert ton to pounds
1 ton------> 2204.62 lb
a freight elevator has a weight limit of 2 ton
2 *2204.62 -----> 4409.24 lb
step 2
each crate weighs 80 pounds
divide 4409.24 by 80
4409.24/80=55.11 crate----------> 55 crate
<span>
</span>
