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Dmitry_Shevchenko [17]
4 years ago
14

(03.05 LC)

Mathematics
2 answers:
GarryVolchara [31]4 years ago
8 0

Answer: The answer is 2 not -2.

Kruka [31]4 years ago
5 0
The second number of each ordered pair for g(x) is 2 less than that for f(x).
  The value of k is -2.
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AUTOMOBILES The engine torque y (in foot-pounds) of one model of car is given by y = º3.75x2 + 23.2x + 38.8 where x is the speed
Scilla [17]

Answer:

Part 1) The engine speed that maximizes torque is 3,093 rev/min

Part 2)The maximum torque is 74.683\ foot-pounds

Step-by-step explanation:

<u><em>The correct equation is</em></u>

y=-3.75x^{2}+23.2x+38.8

This is the equation of a vertical parabola open downward (because the leading coefficient is negative)

The vertex represent a maximum

The x-coordinate of the vertex represent the engine speed that maximizes torque

The y-coordinate of the vertex represent the maximum torque

Solve the quadratic equation by graphing

using a graphing tool

The vertex is the point (3.093,74.683)

see the attached figure

therefore

The engine speed that maximizes torque is

3.093(1,000)=3,093 rev/min ---> because is in thousands of revolutions per minute

The maximum torque is

74.683\ foot-pounds

7 0
3 years ago
Simplify 33/123 by reducing to lowest form
zvonat [6]
33/123
11/41 is your simplest form. Hope it helps! :)
7 0
3 years ago
Read 2 more answers
Solve 4(-4x- 3)&gt; 36
wariber [46]

Answer:

x=3

Step-by-step explanation:

Simplifying

4(4x + -3) = 36

Reorder the terms:

4(-3 + 4x) = 36

(-3 * 4 + 4x * 4) = 36

(-12 + 16x) = 36

Solving

-12 + 16x = 36

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '12' to each side of the equation.

-12 + 12 + 16x = 36 + 12

Combine like terms: -12 + 12 = 0

0 + 16x = 36 + 12

16x = 36 + 12

Combine like terms: 36 + 12 = 48

16x = 48

Divide each side by '16'.

x = 3

Simplifying

x = 3

8 0
3 years ago
Read 2 more answers
- Katrina practices violin 4 times per
Darina [25.2K]
Katrina practices 4 hours a week.

Jeremy practices 2 hours and 15 minutes a week.

Answer Katrina practices more than Jeremy by 1 hour and 48 minutes
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3 years ago
sale 90%Luca buys a swing set during the sale. If the original price was $270, how much does Luca pay?
slava [35]

Answer:

$243

Step-by-step explanation:

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