Answer:
5/6
Step-by-step explanation:
1/3 + 1/2 is a simple addition fraction problem.
You'd find the LCM (lowest common denominator) which is 6. First, we'll take 1/3 which the denominator becomes 6. You see one side has been basically multiplied by 2, so you'd do it to both sides, giving us 2/6. Next, we do the same thing with 1/2. 2 -> 6 1 -> 3. 3/6. So finally, we have 3/6 + 2/6, which is 5/6.
Answer:
50%
Step-by-step explanation:
To find the percent increase, divide the increase by the original value.
The increase is $40.
The original value is $80.
40÷80 = 0.5
0.5 ⇒ 50%
It is a 50% increase.
Answer:
+ 3x³ - 16x² + 27x - 18
Step-by-step explanation:
Each term in the second factor is multiplied by each term in the first factor, that is
x²(4x² - 5x + 6) + 2x(4x² - 5x + 6) - 3(4x² - 5x + 6)
Distribute all 3 parenthesis
= 4 - 5x³ + 6x² + 8x³ - 10x² + 12x - 12x² + 15x - 18
Collecting like terms
= 4 + 3x³ - 16x² + 27x - 18
Since our line is perpendicular to this line, the slope of
our line is the negative reciprocal of 1/4, which is -4/1.
Remember, negative reciprocal is just a fancy way
of saying flip the fraction and change the sign.
So the slope of our line is -4/1 and we use this slope along
with our given point to write the equation of our line.
Start with the point-slope formula.
Y - y1 = m(x - x1).
~Substitute
Y - -2 = -4/1(x - 5).
Minus a negative is plus a positive.
Y + 2 = -4/1x + 20.
Subtract 2 from both sides.
Y = -4/1x + 18
So, our answer is C.
