Answer:
(x + 1)/4x² + 4(x + 1)/4x²
Step-by-step explanation:
x+1/4x² + x+1/x²
The above can be simply as follow:
Find the least common multiple (LCM) of 4x² and x². The result is 4x²
Now Divide the LCM by the denominator of each term and multiply the result with the numerator as show below:
(4x² ÷ 4x²) × (x + 1) = x + 1
(4x² ÷ x²) × (x + 1) = 4(x + 1)
x+1/4x² + x+1/x² = [(x + 1) + 4(x + 1)]/ 4x²
= (x + 1)/4x² + 4(x + 1)/4x²
Therefore,
x+1/4x² + x+1/x² = (x + 1)/4x² + 4(x + 1)/4x²
Answer:
Ratio of triangle AMN to square ABCD = 1/8
Step-by-step explanation:
area AMN = Area ABN - Area MNB
Where AB = BC = x
Area AMN = [ ½ *( x * ½x )] - [ ½( ½x * ½x)] = x²/8
Area of ABCD = x* x = x²
So therefore:
The ratio of area of triangle AMN to area of square ABCD would be
= (x²/8) / x²
=1/8
Let x and y represent the number of miles the minivan and hybrid can be driven, respectively.
4) Then the emission requirement can be written as
1.2x +0.5y ≤ 500
5) see attached
Answer: (Going down from first column to second column)
1. 10,000
2. 7
3. 35
4. 16
5. 4
6. 828.75
7. 24
8. 14
9. 27
10. 378
11. 6,600
12. 90
Step-by-step explanation:
1. 25x10x40
2. 15x10.5x20 then divide the answer by 450
3. Same method as above
4. Multiple the Length and the Width, then divide that from the volume
5. Take 64 and cubic root it
6. Multiple them all together
7. Same thing as 6
8. Same as number 4
9. Take 3 and cubic it. Aka multiple it three times
10. Idk this one sorry.
11. Multiple it all together
12. Multiple 2,4,5 for 40 and take that number and divide it from the volume
Really hope this help you out! Took me a little bit to solve this.