You would distribute the 30(3a+2b). Hope this helps.
Answer:
f(x + h) = 3x³ + x² + 9h²x + 3h³ + h² + 9hx² + 2hx
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Distributive Property
- Expand by FOIL (First Outside Inside Last)
- Combining like terms
Step-by-step explanation:
<u>Step 1: Define function</u>
f(x) = x² + 3x³
f(x + h) is x = x + h
<u>Step 2: Simplify</u>
- Substitute: f(x + h) = (x + h)² + 3(x + h)³
- Expand by FOILing: f(x + h) = (x² + 2hx + h²) + 3(x + h)³
- Rewrite: f(x + h) = (x² + 2hx + h²) + 3(x + h)²(x + h)
- Expand by FOILing: f(x + h) = (x²+2hx+h²) + 3(x² + 2hx + h²)(x+h)
- Distribute/Expand: f(x + h) = (x²+2hx+h²) + 3(x³+3hx²+3h²x+h³)
- Distribute 3: f(x + h) = (x²+2hx+h²)+(3x³+9hx²+9h²x+3h³)
- Combine like terms: f(x + h) = 3x³+x²+9h²x+3h³+h²+9hx²+2hx
Answer: 8 gallons of water.
Step-by-step explanation:
3 x 4 x 5 = 60.
60 divided by the number of gallons per cubic foot 7.5 = 8 gallons. :)
Answer:
b. circle;
Step-by-step explanation:
The given conic has equation;
We complete the square to obtain;
This is a circle with center;
This implies that;
When the circle is rotated through an angle of ,
The new center is obtained using;
and
We plug in the given angle with x and y values to get;
and
This gives us;
The equation of the rotated circle is;
Expand;
Multiply through by 4; to get
Write in general form;
Divide through by 2.
There are many times in algebra when you need to simplify an expression. understanding of these properties to make the problems in algebra easier to Pour 12 ounces of coffee into mug, then add splash of milk.
following ways:
Pour 12 ounces of coffee into mug, then add splash of milk.
Add a splash of milk to mug, then add 12 ounces of coffee.
The order that you add ingredients does not matter. In the same way, it does not matter whether you put on your left shoe or right shoe first before heading out to work. As long as you are wearing both shoes when you leave your house, you are on the right track!