First you raise the expressions in the parentheses to their powers. Then multiply the two expressions together. You get to see multiplying exponents (raising a power to a power) and adding exponents (multiplying same bases).
Answer:
f(x)=(x−3)2−5
Find the properties of the given parabola.
Direction:
Vertex: (3,−5)
Focus: (3,−194)
Axis of Symmetry: x=3
Directrix: y=−214
Select a few x
values, and plug them into the equation to find the corresponding y values. The x
values should be selected around the vertex.
x y
1 -1
2 -4
3 -5
4 -4
5 -1
Graph the parabola using its properties and the selected points.
Direction:
Vertex: (3,−5)
Focus: (3,−194)
Axis of Symmetry: x=3
Directrix: y=−214
x y
1 -1
2 -4
3 -5
4 -4
5 -1
Answer: the fixed cost to rent the limousine is $200
Step-by-step explanation:
Let x represent the fixed cost rent the limousine.
Let y represent the cost of of hiring the driver of the limousine per hour.
It cost $500 to rent a limousine for 5 hours. This means that
x + 5y = 500 - - - - - - - - - - -1
It costs 800 to rent a limousine for 10 hours. This means that
x + 10y = 800 - - - - - - - - - - -2
Subtracting equation 2 from equation 1, it becomes
- 5y = - 300
y = - 300 /- 5
y = 60
Substituting y = 60 into equation 1, it becomes
x + 5 × 60 = 500
x + 300 = 500
x = 500 - 300
x = 200
You can solve for volume using radius or diameter.
Sphere Volume = <span> 4/3 • <span>π <span>• r³ <span> = <span>( <span>π <span>•d³)/6
We're given the diameter so let's use that.
Volume = PI * d^3 / 6
</span></span></span></span></span></span></span>
<span>Volume = 3.14159 * 3.0^3 / 6
</span>
<span>Volume = 3.14159 * 9 / 2
</span><span><span><span><span>Volume = </span>14.137 cubic centimeters
</span></span></span>
Answer:
1.234 / 100 = 0.01234
Therefore;
0.01234 x purchase price = profit
same as
purchase price / 1.01234 = profit
formula Cost or initial Price x ( % / 100 )
and show % as a whole number ie ) 1.234 / 100 = 0.01234
= cip x 1.01234 = profit
When we divide by 100 the 1 moves two spaces to the right.
when we have to find initial price from given sale price
we deduct given percentage from 100% and use that to multiply with instead omitting the 1 if its depreciating or adding the 1 if its original price ticket.
