Answer:
x-2y/x
Step-by-step explanation:
x²-4xy+4y²/x²+xy-6y²÷x²+3xy/x²+6xy+9y² = x-2y/x
First solve the quadratic as you would an equation, so you will get two real zeroes p and q so that (x-p)(x-q)=0 is another way of expressing the quadratic. All quadratics can be represented graphically by a parabola, which could be inverted. When the x² coefficient is negative it’s inverted. If the coefficient of x² isn’t 1 or -1 divide the whole quadratic by the coefficient so that it takes the form x²+ax+b, where a and b are real fractions. The curve between the zeroes will be totally below the x axis for an upright parabola, and totally above for an inverted parabola. This fact is used for inequalities. An inequality will be <, ≤, > or ≥. This makes it easy to solve the inequality. If the position of the curve between the zeroes is below the axis then outside this interval it will be above, and vice versa. So we’ve defined three zones. x
q, and p
9514 1404 393
Answer:
$3400
Step-by-step explanation:
The way these tax tables are structured, you pay 3% on the first $10,000, 5% on the next $40,000, and 5.5% on the remaining $20,000 above $50,000.
tax = 0.03·10,000 +0.05·(50,000 -10,000) +0.055·(70,000 -50000)
= 300 + 2000 +1100
= 3400 . . . dollars
The tax owed on $70,000 is $3,400.
_____
<em>Additional comment</em>
I like to rewrite this sort of table to a different format:
- 3% of income . . . . . . . . . . . . . . . applies for income ≤ 10,000
- (5% of income) -$200 . . . . . . . . applies for 10,000 < income ≤ 50,000
- (5.5% of income) -$450 . . . . . . .applies for 50,000 < income ≤ 100,000
For an income of $70,000, the tax computation using this form is one multiplication and one addition, rather than 3 multiplications and 4 additions as used when navigating the given table.
Answer:
Yes
Step-by-step explanation:
25 is less than 28
28 is greater than 25
Answer:
Hope that help the answer is 300
Step-by-step explanation he drives for 3 hours at a rate of 80 km per hour, multiply:
Now we need to find how far he goes in 45 minutes. There are 60 minutes in an hour, so write and simplify:
45 is three quarters of an hour, so multiply that by 80 km per hour:
Add the distances together:
At a rate of 80 km per hours, in 3 hours and 45 minutes, Tim drives 300 km.
Finito.
R
