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Makovka662 [10]
3 years ago
15

3. Graph y=-4x² – 2 and its inverse. (1 point)

Mathematics
1 answer:
madam [21]3 years ago
6 0

Function and its inverse was graphed.

<u>Step-by-step explanation:</u>

y = -4x²- 2

To find the inverse function of   y = -4x²- 2 we have to transform the formula to calculate  x in terms of y.

y = -4x²- 2

-4x² = y - 2

x = √(y-2) / -4

Now we can change the letters to follow the convention that  x is the independent variable and  y is the function's value:

y = √(x-2) / -4

Now we have to draw the graph as,

It was side by side that is LHS is the function and the RHS is its inverse.

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Sergio [31]

Answer:

Mice crispys

Step-by-step explanation:

6 0
2 years ago
To play basketball with her friends, Evangeline needs to pump air in her ball, which is completely deflated. Before inflating it
Nadya [2.5K]

Answer:

ρ_air = 0.15544 kg/m^3

Step-by-step explanation:

Solution:-

- The deflated ball ( no air ) initially weighs:

                             m1 = 0.615 kg

- The air is pumped into the ball and weight again. The new reading of the ball's weight is:

                            m2 = 0.624 kg

- The amount of air ( mass of air ) pumped into the ball can be determined from simple arithmetic between inflated and deflated weights of the ball.

                           m_air = Δm = m2 - m1

                           m_air = 0.624 - 0.615

                           m_air = 0.009 kg

- We are to assume that the inflated ball takes a shape of a perfect sphere with radius r = 0.24 m. The volume of the inflated ( air filled ) ball can be determined using the volume of sphere formula:

                         V_air = 4*π*r^3 / 3

                         V_air = 4*π*0.24^3 / 3

                         V_air = 0.05790 m^3  

 

- The density of air ( ρ_air ) is the ratio of mass of air and the volume occupied by air. Expressed as follows:

                         ρ_air = m_air / V_air

                         ρ_air = 0.009 / 0.05790

Answer:            ρ_air = 0.15544 kg/m^3                      

4 0
2 years ago
Read 2 more answers
Barney &amp; Noblet customers can choose to purchase a membership for $25 per year Members receive 10% off all store purchases
Law Incorporation [45]

Answer:

  1. $70
  2. y = 25 + 0.9x
  3. $250

Step-by-step explanation:

1. 10% of $50 is $5, so the purchases would come to $50 -5 = $45. Added to the $25 membership fee, the total cost for the year would be

  $45 +25 = $70

2. The member pays $25 even if no purchases are made. Then any purchases are 100% - 10% = 90% of the marked price. So, the total is ...

  y = 25 + 0.90x

3. $25 is 10% of $250, so that is the amount the member would have to purchase to break even on cost.

If you like, you can compare the cost without the membership (x) to the cost with the membership (25+.9x) and see where those costs are equal.

  x = 25 +0.9x . . . . . x is the spending level at which there is no advantage

  0.1x = 25 . . . . . . . . subtract 0.9x

  25/0.1 = x = 250 . . . divide by 0.1

4 0
3 years ago
Use Synthetic substitution to find f(3) and f(-4) for f(x)=x^4-8x-11
brilliants [131]

Answer:

46 and 277

Step-by-step explanation:

Given

f(x) = x^{4} - 8x - 11 ← substitute x = 3, x = - 4 into f(x)

f(3) = 3^{4} - 8(3) - 11 = 81 - 24 - 11 = 81 - 35 = 46

f(- 4) = (-4)^{4} - 8(- 4) - 11 = 256 + 32 - 11 = 288 - 11 = 277

4 0
2 years ago
Someone please help me!!!
devlian [24]

Answer:

sorry cant help

Step-by-step explanation:

6 0
3 years ago
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