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Amiraneli [1.4K]
3 years ago
7

A particle moves along the curve y = 5x^2 – 1 in such a way that the y value is decreasing at the rate of 2 units per second. At

what rate is x changing when x = 1?
Decreasing one fifth unit/sec

Increasing one fifth unit/sec

Decreasing one tenth unit/sec

Increasing one tenth unit/sec
Mathematics
1 answer:
Shtirlitz [24]3 years ago
8 0

Answer:

The correct option is;

Increasing one fifth unit/sec

Step-by-step explanation:

The equation that gives the curve of the particle of the particle is y = 5·x² - 1

The rate of decrease of the y value dy/dt = 2 units per second

We have;

dy/dx = dy/dt × dt/dx

dy/dx = 10·x

dy/dt = 2 units/sec

dt/dx = (dy/dx)/(dy/dt)

dx/dt = dy/dt/(dy/dx) = 2 unit/sec/(10·x)

When x = 1

dx/dt = 2/(10·x) = 2 unit/sec/(10 × 1) = 1/5 unit/sec

dx/dt = 1/5 unit/sec

Therefore, x is increasing one fifth unit/sec.

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he will be 17 in

Step-by-step explanation:

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3 years ago
How do i do 3=4(x-2)+5-3x
SashulF [63]

Answer:

6 = x

Step-by-step explanation:

first, we simplify the parenthesis by distributing the 4

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3 = 4x - 8 + 5 - 3x

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4 0
3 years ago
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Two pieces of equipment were purchased for a total of $4000. If one piece cost $850 more than
ruslelena [56]

The price of less expensive equipment is $1575.

Step-by-step explanation:

Let,

Price of one equipment = x

Price of other equipment = y

According to given statement;

x+y=4000   Eqn 1

x = y+850    Eqn 2

Putting Eqn 2 in Eqn 1

(y+850)+y=4000\\y+850+y=4000\\2y=4000-850\\2y=3150

Dividing both sides by 2;

\frac{2y}{2}=\frac{3150}{2}\\y=1575

Putting y=1575 in Eqn 2;

x=1575+850\\x=2425

The price of less expensive equipment is $1575.

Keywords: linear equation, substitution method

Learn more about linear equations at:

  • brainly.com/question/11343416
  • brainly.com/question/11416224

#LearnwithBrainly

3 0
3 years ago
What does 3e-6 mean on the calculator?
Ostrovityanka [42]

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3 0
3 years ago
5% of what number is 12? I need to find the whole
dalvyx [7]

Answer:

240

5 goes into 100, 20 times.

so u get 240 divide by 100 u get 2.4 multiply it by 5 u get 12.

8 0
3 years ago
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