Long division: (x³ + 2) ÷ (x + 1)
<u> </u><u>x² – x + 1 </u>
x³ + 0x² + 0x + 2 | x + 1
<u>– x³ – x²</u> ⋮ ⋮
– x² + 0x ⋮
<u>+ x² + x</u><span> ⋮</span>
+ x + 2
<span> </span> <u>– x – 1</u>
+ 1
Quotient: Q(x) = x² – x – 1;
Remainder: R(x) = + 1.
I hope this helps. =)
Answer:
9 1/6 miles
Step-by-step explanation:
Add the mixed number by the improper fraction.
1 + 1/3 + 35/6
Solve the fractions first.
In order to have both of the fractions have the same denominator, find the Least Common Multiple of both of the fractions.
1/3 = 2/6
2/6 + 35/6 = 37/6
Turn the improper fraction into a mixed number by dividing the the numerator by the denominator. When you get your quotient, use the remainder as the new numerator over the denominator.
37/6 = 6 1/6
Now, add the 1.
6 1/6 + 1 = 7 1/6
Now, add the 2 miles that Carol walked on Wednesday.
7 1/6 + 2 = 9 1/6
So, Carol walked about 9 1/6 miles on Monday, Tuesday, and Wednesday all together.
Answer:
x = -8
Step-by-step explanation:
(4 · x) - (4 · 6) + 6 = 6x - 2
4x - 24 + 6 = 6x - 2
4x - 18 = 6x - 2
Isolate x.
4x = 6x - 2 + 18
4x = 6x + 16
4x - 6x = 16
-2x = 16
x = 16 ÷ -2
x = -8
I hope this helps! :)
angle 1 and angle 7 are alternate exterior angles.
angle 1 and angle 5 are corresponding angles.
angle 3 and angle 8 are same side interior angles.
angle 2 and angle 8 are alternate interior angles.
Answer:
We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.
Step-by-step explanation:
From the given graph, it is clear that the two lines meet at the point (3, 2).
In other words,
Thus,
The point of intersection between two lines is:
(x, y) = (3, 2)
Here:
x = 3 is the value of the x-coordinate
y = 2 is the value of the y-coordinate
Now, checking the equation i.e. 1/3x+1=2x-4 to determine whether the equation contains the correct value of x-coordinate or not.
Subtract 1 from both sides
Simplify
subtract 2x from both sides
Simplify
Multiply both sides by 5
Simplify
Divide both sides by -5
Simplify
Therefore, the value of x = 3
Conclusion:
We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.
