Answer:
30 CDs and 10 Videos were sold.
Step-by-step explanation:
Given that a used book store also started selling used CDs and videos. In the first week, the store sold 40 used CDs and videos, at 4.00 per CD and 6.00 per video.
The sales for both CDs and videos totaled to 180.00.
Let CDs be x and Videos be y
Then we have x+y =3040
and 4x+6y = 180
Two simultaneous equations in two variables and can be solved by elimination method
multiply I equation by 4 and subtract from II.
2y = 20
y =10
x = 30
30 CDs and 10 Videos were sold.
Answer:
more information would love to help
Step-by-step explanation:
Prime factor is a factor that is a prime number.
Prime factors of :
8 : 2 × 2 × 2. Also can be written as
12 : 2 × 2 × 3. Also can be written as
20 : 2 × 2 × 5. Also can be written as
30 : 2 × 3 × 5
56 : 2 × 2 × 2 ×7. Also can be written as
70 : 2 × 5 × 7
You can find all of them by using Factor Tree [ as shown in the picture] or Dividing by prime numbers.
Remark
First of all you have to declare the meaning of g(f(x)) After you have done that, you have to make the correct substitution.
Givens
f(x) = 4x^2 + x + 1
g(x) = x^2 - 2
Discussion
What the given condition g(f(x)) means is that you begin with g(x). Write down g(x) = x^2 - 2
Wherever you see an x on either the left or right side of the equation, you put fix)
Then wherever you see f(x) on the right you put in what f(x) is equal to.
Solution
g(x) = x^2 - 2
g(f(x)) = (f(x))^2 - 2
g(f(x)) = [4x^2 + x + 1]^2 - 2
f(x)^2 =
4x^2 + x + 1
<u>4x^2 + x + 1</u>
16x^4 + 4x^3 + 4x^2
4x^3 + x^2 + x
<u> 4x^2 + x + 1</u>
16x^4 + 8x^3 + 9x^2 + 2x + 1
Answer
g(f(x)) = 16x^4 + 8x^3 + 9x^2 + 2x + 1 - 2
g(f(x)) = 16x^4 + 8x^3 + 9x^2 + 2x - 1
50 is 46.82 rounded to the nearest ten
