- The Blast Off Music Company makes CDs and DVDs. The company can make a total of 500 CDs and DVDS
each day. It costs $8 to make each CD and $10 to make each DVD. The company can spend $4800 for
production costs each day. How many individual CDs and DVDs can The Blast Off Music Company make in
one day?

Let C represent number of CDs and D represent number of DVDs.

We have been that The Blast Off Music Company can make a total of 500 CDs and DVDs each day. We can represent this information in an equation as:

We are also told that it costs $8 to make each CD, so cost of C, CDs would be .

It costs $10 to make each DVD, so cost of D, DVDs would be .

We have been given that the company can spend $4800 for  production costs each day. This means that cost of C CDs and D DVDs will be equal to 4800. We can represent this information in an equation as:

Upon substituting equation (1) in equation (2), we will get:

Therefore, the company can make 400 DVDs in one day.

Upon substituting in equation (1), we will get:

Therefore, the company can make 100 CDs in one day.

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

x=-7

step-by-step explanation:

x+3=-10

-10+3=-7

x=-7