Step-by-step explanation:
or,(x-2)(x-4)+(3x-11)(x-3)/(x-3)(x-4)=(4x+13)/(x+1)
or,x^2-4x-2x+8+3x^2-9x-11x+33/x^2-4x-3x+12=(4x+13)/(x+1)
or,4x^2-4x-2x-9x-11x+8+33/x^2-7x+12=(4x+13)/(x+1)
or,4x^2-26x+41/x^2-7x+12=(4x+13)/(x+1)
or, (x+1)(4x^2-26x+41)=(4x+13)(x^2-7x+12)
or,4x^3-26x^2+41x+4x^2-26x+41=4x^3-28x^2+48x+13x^2-91x+156
or,-26x^2+4x^2+28x^2-13x^2+41x-26x-48x+91x=156-41
or,-7x^2+58x=115
or,-7x^2+58x-115=0
or,-(7x^2-58x+115)=0
or,7x^2-58x+115=0
or,7x^2-(35+23)x+115=0
or,7x^2-35x-23x+115=0
or,7x (x-5)-23 (x-5)=0
or, (x-5)(7x-23)=0
Either, Or,
(x-5)=0 (7x-23)=0
or,x=0+5 or,7x=23
:x=5 :x=23/7
Hence,x=5 or 23/7
Since there are only 2 numbers in the sequence that are even or greater than 78 it's 2/5th or 0.4
The side length is the square root of 8. Because the square has 4 equal sides, the side lengths must be equal. So the answer is approximately 2.83.
Answer:
Step-by-step explanation:
The formula of a volume of a rectangular prism:
l - length
w - width
h - height
We have
Substitute:
It is a linear equation (ie., no x²), so solution should be possible.
First, let's get rid of the brackets:
2/4 x - 1/4 + 1/5 x - 1/5 = 2
Next, lets change the denominator to 20, the least common multiple of 4 and 5:
10/20 x - 5/20 + 4/20 x - 4/20 = 40/20
Then simplify by taking the x terms together and the constant terms:
14/20 x = 49/20 (now multiply by 20 to remove the denominator)
14x =49 (now divide left and right by 14)
x = 49/14 (divide numerator and denominator by 7)
x = 7/2
Of course, there's any order in which you can perform these operations. They should all lead to the same answer.