Answer:
x(2x + 3) + (x - 3) (x - 4) = 3x²- 4x + 12
Step-by-step explanation:
<em>Expand:</em>
x(2x + 3): 2x² + 3x
2x² + 3x + (x - 3) (x - 4)
<em>Expand</em>:
(x - 3) (x - 4): x²- 7x + 12
2x² + 3x + x²- 7x + 12
<em>Simplify:</em>
2x² + 3x + x² - 7x + 12: 3x² - 4x + 12
= 3x² - 4x +12
Option A
If f(x) =
and g(x) =
then 
<em><u>Solution:</u></em>
Given that f(x) =
and g(x) = 
To find: (f - g)(x)
We know that,
(f – g)(x) = f (x) - g(x)
Let us substitute the given values of f(x) and g(x) in above formula,

For solving the brackets in above expression,
There are two simple rules to remember:
When you multiply a negative number by a positive number then the product is always negative.
When you multiply two negative numbers or two positive numbers then the product is always positive.
So the expression becomes,

Combining the like terms,

Thus option A is correct
Y0ou find a common denominatior, in this case is 15.... then multiply whatever u had to get the denominator 15 times the top number, so 3/5 + 10/15 = 13/15
Answer:
A = 30 unit^2
Step-by-step explanation:
To find the area of the triangle
A = 1/2 b*h where b is the length of the base and h is the height
b = 12 and h =5
A = 1/2 (12*5)
A = 1/2 *60
A = 30 unit^2
Answer: There are 90 calories in a 6-ounce bottle.
Step-by-step explanation:
We assume that the quantity of juice in the bottle is directly proportional to the number of calories it contains.
Given: 10 ounces of juice has 150 calories.
i.e. 1 ounce of juice has
calories.
i.e. 1 ounce of juice has 15 calories.
Now, In 6 ounce of juice, the number if calories = 15 x 6 = 90 calories
Hence, there are 90 calories in a 6-ounce bottle.