Answer:
Step-by-step explanation
Answer:
4x^2-5x+1=0
=4x^2-x-4x+1=0
The second 4x is because of 5x=-x-4x
=xmultiply(4x-1)-4x-1)=0
=(4x-1)x(x-1)=0
=4x-1=0
Another value for x is
x-1=0
Final
=x=1/4
=x=1
Finally the answers are
Value of first X is
X=1/4
Value of second X is
X=1
Answer:
( 2 + √3 ) / 2, ( 2 - √3 ) / 2
Step-by-step explanation:
2x^2 - 2x = 1
2x^2 - 2x - 1 = 0
Here,
a = 2
b = - 2
c = - 1
D = b^2 - 4ac
D = ( - 2 )^2 - 4 ( 2 ) ( - 1 )
= 4 + 8
D = 12
x = - b ± √D / 2a
= - ( - 2 ) ± √12 / 2 ( 2 )
= 4 ± 2√3 / 4
= 2 ( 2 ± √3 ) / 4
= 2 ± √3 / 2
x = ( 2 + √3 ) / 2, ( 2 - √3 ) / 2
The number of buckets is directly proportional to the area and the thickness of the wall and inversely proportional to the amount of paint. Mathematically, we can write:
n = k · (a · t) / p
where k is the proportionality constant which we do not know.
We can calculate k with the given data: 5 2-gallon buckets, area of 100 square feet and thickness 3 inches:
k = (n · p) / (<span>a · t)
= (5 </span>· 2) / (100 · 3) = 0.0333
Now that we know the constant, we can calculate the area that can be painted with 8 2-gallon buckets if the thickness is 6 inches:
a = (n · p) / (k<span> · t)
= (8 </span>· 2) / (0.0333 · 6)
= 80 ft²
Please, note that we made sure to have the exact same units of measurements than the previous case.
Therefore, the correct answer is an area of 80 ft².
Answer:
A
Step-by-step explanation:
5.25-1.5 = 3.75
so 3.75 hour
A
Hope this helps plz hit the crown :D
The slope will be the one next to the variable which in this case is (x) so the slope is 2 and the y-intercept is the + added to the equation in this equation there is none.
Slope= 2
Y-Intercept= None