Answer:
f(x)g(x) = 2x² - 6x
General Formulas and Concepts:
<u>Algebra I</u>
- Expand by FOIL-ing (First, Outside, Inside, Last)
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 2x
g(x) = x - 3
<u>Step 2: Find f(x)g(x)</u>
- Substitute: f(x)g(x) = 2x(x - 3)
- Distribute 2x: f(x)g(x) = 2x² - 6x
Answer:
Santosh purchased 4 new and 4 used DVDs.
Step-by-step explanation:
From the information given, as you know that Santosh spent $200 and that the DVD player cost $120, you can say that the new and used DVDs cost $80, which can be expressed as:
15x+5y=80, where:
x refers to the number of new DVDs
y refers to the number of used DVDs
Now, as the statement indicates that Santosh purchased the same number of new and used DVDs, this means that x is equal to y and you can replace y with x and solve for x:
15x+5x=80
20x=80
x=80/20
x=4
According to this, the answer is that Santosh purchased 4 new and 4 used DVDs.
Answer:
B
Step-by-step explanation:
(a+b)^2
using Pascal triangle
1 1
1 2 1
1 3 3 1
so the third term in the expansion of (a+b)^2
we use
1 2 1
a^2 + 2ab+b
hence the coefficient of third term is 1
option B is collect
Answer:
1/2
Step-by-step explanation:
y2 - y1 / x2 - x1
-17 - (-8) / -5 - 13
-9 / - 18
= 1/2
Your answer is option D. √(15² + 19²). This is because the line PQ is the hypotenuse of this right triangle, so you can use the formula a² + b² = c² to find its length, which means it would equal the square root of 15² + 19², which is what option D expresses.
I hope this helps!
