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astraxan [27]
3 years ago
8

How to solve 3x+2y=-1, 6x+4y=0 by elimination

Mathematics
1 answer:
kondaur [170]3 years ago
3 0
(1) 3x+2y=-1
(2) 6x+4y=0

This system of equation has no solution. Proof
multiply all the term of (1) by two ==>6x+4y=-2
Notice that in (2) you have the same thing but equal to zero.
Same quantity can't equal 0 & -2. So no solution
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A water tank in the shape of an inverted circular cone has a base radius of 3 m and height of 7 m . If water is being pumped int
Wittaler [7]

The water level increases by 0.608 meters per minute when the water is 3.5 m deep

<h3>How to determine the rate?</h3>

The given parameters are:

  • Radius, r = 3
  • Height, h = 7
  • Rate in, V' = 4.3m^3/min

The relationship between the radius and height is:

r/h = 3/7

Make r the subject

r = 3h/7

The volume of a cone is;

V = \frac 13\pi r^2h

This gives

V = \frac 13\pi (\frac{3h}{7})^2h

Expand

V =  \frac{3h^3}{49}\pi

Differentiate

V' = \frac{9h^2}{49}\pi h'

Make h' the subject

h' = \frac{49}{9\pi h^2}V'

When the water level is 3.5.

We have:

h' = \frac{49}{9\pi * 3.5^2}V'

Also, we have:

V' = 4.3

So, the equation becomes

h' = \frac{49}{9\pi * 3.5^2} * 4.3

Evaluate the products

h' = \frac{210.7}{346.36}

Evaluate the quotient

h' = 0.608

Hence, the water level increases by 0.608 meters per minute

Read more about volumes at:

brainly.com/question/10373132

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7 0
2 years ago
if you have a net spendable income of $1,450 per month, what is the maximum amount of money you should spend on food each month
frutty [35]

Answer:

The maximum amount of money that should be spent on housing each month is $522.

The maximum amount of money that should be spent on transportation each month is $290.

The maximum amount of money that should be spent on food each month is $246.50.

The maximum amount of money that should be spent on entertainment each month is $116.


7 0
3 years ago
282736.2816×296.092÷2917=?
Gnom [1K]

Answer:

28699.3318792

Step-by-step explanation:

4 0
3 years ago
Find the quotient: –10/19÷(−5/7)
Semmy [17]

Answer:

14/19

Step-by-step explanation:

Note that there are two " - " signs here.  Thus, the end result will be " + "

We move from left to right, obtaining first 10/19 divided by (5/7):

10

----- ÷ (5/7)

19

To divide by (5/7), invert (5/7) and then multiply.  We get:

10      7      2(7)

----- * ----- = ------- = 14/19

19       5       19

4 0
3 years ago
What is the variable in the expression: 25 + 5z - 3?
Alekssandra [29.7K]

Answer:

The variable is z

Step-by-step explanation:

8 0
3 years ago
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