Answer:
You will need 50.54 liters of gas.
Step-by-step explanation:
This question is solved by proportions.
495km trip:
The gas efficiency is given in miles per gallon, so we need to find the number of miles traveled.
Each km has 0.6214 mi, so 495 km will be 495*0.6214 = 307.593mi.
Number of gallons:
23.0 mi/gal.
So for 307.593mi, the number of gallons is 307.593/23 = 13.37 gallons.
How many liters?
Each gallon has 3.78 liters.
So 13.37 gallons will have 13.37*3.78 = 50.54 liters.
Answer:
see explanation
Step-by-step explanation:
Given
f(x) = (x - 4)(2x - 1)²(x - 2)²
To find the roots equate f(x) to zero, that is
(x - 4)(2x- 1)²(x - 2)² = 0
Equate each of the factors to zero and solve for x
x - 4 = 0 ⇒ x = 4
2x - 1 = 0 ⇒ x = 
← with multiplicity 2
x - 2 = 0 ⇒ x = 2 ← with multiplicity 2
Hence the roots are
{ 4, , 2 }
Given
f(x) = x³ + 4x² + 7x + 6
Note that
f(- 2) = (- 2)³ + 4(- 2)² + 7(- 2) + 6 = - 8 + 16 - 14 + 6 = 0
Since f(- 2) = 0 then by the factor theorem x = - 2 is a root and (x + 2) a factor
Using synthetic division
- 2 | 1 4 7 6
- 2 - 4 - 6
--------------
1 2 3 0
Thus
f(x) = (x + 2)(x² + 2x + 3)
Solve x² + 2x + 3 using the quadratic formula
with a = 1, b = 2 and c = 3
x = (- 2 ± 
) / 2
= ( - 2 ± 
) / 2
= ( - 2 ± 
) / 2
= (- 2 ± 2i
) / 2
= - 1 ± i
Hence roots are
{ - 2, - 1 + i, - 1 - i }
Your sum is 627. You do have to regroup because u have get a double digit and you have to bring it up.
Answer:
<u><em>X = -1</em></u>
<u><em>Step-by-step explanation:</em></u>
- <u><em>Add x to both sides.</em></u>
- <u><em>8x + 1 + x = -8</em></u>
- <u><em>Combine 8x and x to get 9x.</em></u>
- <u><em>9x + 1 = -8</em></u>
- <u><em>Subtract 1 from both sides</em></u>
- <u><em>9x = -9</em></u>
- <u><em>Divide both sides by 9 </em></u>
- <u><em>x = -9/9</em></u>
- <u><em>x = -1</em></u>
