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777dan777 [17]
3 years ago
11

Write an expression equivalent to the expression -1/2(-3/2x+6x+1)-3x

Mathematics
1 answer:
stiv31 [10]3 years ago
4 0

Answer:

-21/4x-1/2

Step-by-step explanation:

-1/2(-3/2x+6x+1)-3x

3/4x-3x-1/2-3x

3/4x-3x-3x-1/2

3/4x-6x-1/2

3/4x-24/4x-1/2

-21/4x-1/2

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The volume of a cuboid is 2160cm3. The length is 12cm and the width is 150mm. Work out the height of the cuboid in cm.
White raven [17]

Answer:

12 cm

Step-by-step explanation:

12x15 (150)

2160/180

= 12 cm

8 0
2 years ago
A ferry operator takes tourists to an island.
Oksanka [162]

The fare of $(20 - 2.5) = $17.5 will maximize the total fare.

<h3>What is Differentiation?</h3>

Differentiation means the rate of change of one quantity with respect to another. The speed is calculated as the rate of change of distance with respect to time.

Here, The operator for a round-trip fare of $20, carries an average of 500 people per day.

It is estimated that 20 fewer people will take the trip, for each $1 increase in fare.

for $x  increase in fare, 20x less people will take the trip and at that time the total fare F is given by  

f(x) =(20 + x)(500 - 20x)

f (x) = 10000 + 100x - 20x²

For f(x) to be maximum, the condition is dy/dx = 0

 100 - 40x = 0

⇒ x = 2.5  

Thus, the fare of $(20 - 2.5) = $17.5 will maximize the total fare.

Learn more about Differentiation from:

brainly.com/question/24062595

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3 0
1 year ago
Solve: 2x2-x = 21 {-7/2,3} {-3, 7/2}​
Sergio039 [100]

Answer:

The answer is (-3,7/2)

Step-by-step explanation:

2 {x}^{2}  - x - 21 = 0 \\ (2x - 7)(x + 3) = 0 \\ 2x - 7 = 0 \:  \:  \: or \:  \: x + 3 = 0 \\ x =  \frac{7}{2}  \:  \: and \: x =  - 3

I am a math teacher If you need any explanation you can communicate with me on Whats on this number +201557831028

4 0
3 years ago
All the radii of a circle have the same length? True or False
Semenov [28]

The answer to your question is true

3 0
3 years ago
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HELP PLZ ILL MAKE YOU BRAINLEIST
klemol [59]

Answer:

depends on the force acting on the two objects. For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m / s2 at the surface of the earth) and h is the height in meters.

Step-by-step explanation:

7 0
3 years ago
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