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Alex
3 years ago
8

Fill in the blanks to complete the special rule for inequalities.

Mathematics
1 answer:
crimeas [40]3 years ago
3 0

Answer: If you multiply or divide both sides of an inequality by the same negative number, you must swap the inequality symbol for the statement to still be correct.

Additionally: The absolute value of -200 is 200.

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The positive acute angle formed by the _____ side of an angle in standard position and the x-axis is called a reference angle.
Helga [31]

Answer:

option-C

terminal

Step-by-step explanation:

We know that

reference angle is between terminal side and x-axis

so, the other side will be terminal position

so, we can write as

The positive acute angle formed by the <u>terminal</u> side of an angle in standard position and the x-axis is called a reference angle.

So,

option-C

terminal

7 0
3 years ago
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
Find the domain and range of the function, f(x)= √sin x
NNADVOKAT [17]

Answer:

( − ∞ , ∞ )

Step-by-step explanation:

6 0
3 years ago
A. Incorrect; the student should add 8 + 2 to calculate the x-coordinate and should add 5 + 9 to calculate the y-coordinate. B.
likoan [24]

Answer:

A

Step-by-step explanation:

I think it’s a based on what you given

3 0
3 years ago
8.
inysia [295]

Answer:

The answer is C. {(5,0), (-8,-5)}

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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