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PilotLPTM [1.2K]
3 years ago
10

Andy has a collection of movie DVD's. In Andy's collection 3/5 of the DVD's are action and 1/4 of the DVD's are comedy . Andy sa

id 4/9 of his collection is action is action or comedy . Cindy said that Andy made an error. Explain whether or not Andy is correct or incorrect and why.
Mathematics
2 answers:
valkas [14]3 years ago
8 0
Andy is wrong.
3/5 = 12/20
1/4 = 5/20
Add them up
12/20 + 5/20 = 17/20
17/20 is not equal to 4/9
Dmitry [639]3 years ago
8 0
Yeah andy is wrong.
3/5 = 12/20
1/4 = 5/20
12/20 + 5/20 = 17/20
17/20 does not = 4/9
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A small company that manufactures snowboards uses the relation below to model its profit. In the model,
amm1812

Answer:

a)   x₁ = 14

     x₂ = - 6

b) x = 4

c) P(max ) = 4000000 $

Step-by-step explanation:

To find the axis of symmetry we solve the equation

a) -4x² + 32x + 336 = 0

4x²  - 32x  - 336  = 0       or    x² - 8x - 84 = 0

x₁,₂ = [ -b ± √b² -4ac ]/2a

x₁,₂ = [ 8  ±√(64) + 336 ]/2

x₁,₂ = [ 8  ± √400 ]/2

x₁,₂ =( 8 ± 20 )/2

x₁  = 14

x₂ = -6

a) Axis of symmetry must go through the middle point between the roots

x = 4 is the axis of symmetry

c) P = -4x² + 32x + 336

Taking derivatives on both sides of the equation we get

P´(x) = - 8x + 32  ⇒  P´(x) = 0     - 8x + 32

x = 32/8

x = 4    Company has to sell  4 ( 4000 snowboard)

to get  a profit :

P = - 4*(4)² + 32*(4) + 336

P(max) = -64  + 128 + 336

P(max) = 400           or  400* 10000 =  4000000

     

8 0
3 years ago
Ms. Sloane earns an 8% commission on her total sales. In February, Ms. Sloane's total sales were $29,250. In March, Ms. Sloane's
sweet-ann [11.9K]

Answer:

$278

Step-by-step explanation:

8% of 29,250 = 2340

8% of 32,725 = 2618

2618 - 2340 = 278

she earned $278 dollars more in march than in february.

3 0
2 years ago
Graph of g(x) = x2 − 5
Brut [27]

Answer: 6rx = x^2 -5

8 0
2 years ago
In what quadrant is the terminal side<br> of -323°?
dexar [7]

Answer:

Quadrant 4 i believe plz tell me if im wrong

Step-by-step explanatio

6 0
3 years ago
Read 2 more answers
-8=-(x+4) i need help with this problem!!
kozerog [31]

X=4

You have to distribute the negative sign for everything in the parentheses. After that you add x to the other side then add 8 to the opposite side to move them. Then your answer is 4.

5 0
3 years ago
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