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KATRIN_1 [288]
3 years ago
12

A quantity a varies inversely as a quantity b, if, when b changes a changes in the inverse ratio. What happens to the quantity a

if the quantity b doubts?
Mathematics
1 answer:
Julli [10]3 years ago
3 0

Answer:

quantity a is halfed

Corrected question;

A quantity a varies inversely as a quantity b, if, when b changes a changes in the inverse ratio. What happens to the quantity a if the quantity b doubles?

Step-by-step explanation:

Analysing the question;

A quantity a varies inversely as a quantity b,

a ∝ 1/b

a = k/b ......1

when b changes a changes in the inverse ratio;

Since the change at the same ratio but inversely, k = 1

So, equation 1 becomes;

a = 1/b

If the quantity b doubles,

ab = 1

a1b1 = a2b2

When b doubles, b2 = 2b1

a1b1 = a2(2b1)

Making a2 the subject of formula;

a2 = a1b1/(2b1)

a2 = a1/2

Therefore, when b doubles, a will be divided by 2, that means a is halfed.

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B. Inconsistent (No solutions exist)

Step-by-step explanation:

The linear system that consists of parallel lines are <u><em>inconsistent</em></u><em>, </em>which means that no solutions exist.

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A vector is used to express a car's change in position, or displacement, by tracking its motion over a large area defined by a c
Mnenie [13.5K]

Answer:

The correct answer is option C: (8, 14).

Step-by-step explanation:

The car's displacement in vector form can be found by subtracting the initial points from the final points.    

Initial: (x₁, y₁) = (-3, -5)

Final: (x₂, y₂) = (5, 9)          

For the x-coordinate, we have:  

d_{x} = x_{2} - x_{1} = 5 - (-3) = 8

And for the y-coordinate, we have:

d_{y} = y_{2} - y_{1} = 9 - (-5) = 14

The car's displacement in vector form is:

d = (d_{x}, d_{y}) = (8, 14)  

Therefore, the correct answer is option C: (8, 14).

I hope it helps you!                        

7 0
3 years ago
Is 5.564 bigger than 5.654
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Answer:

No

Step-by-step explanation:

5.564 - 5.654= -0.09

----------------------

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What is the simplest form of the product cube root4x^2*cube root8x^7
Illusion [34]

Answer:

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Step-by-step explanation:

We are given an expression and we are supposed to find the simplest form of the given expression.

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f(x) =  2^{\frac{5}{3} }x^{3} is the simplest expression

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