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3 years ago

What’s the inverse equation?

Mathematics

1 answer:

algol [13]3 years ago

4 0

Answer:

The inverse is ((5-x)/4) ^ 1/3

Step-by-step explanation:

y = 5-4x^3

Exchange x and y

x = 5-4y^3

Subtract 5 from each side

x-5 =5-5-4y^3

x-5 = -4y^3

Divide each side by -4

(x-5)/ -4 = y^3

Take the cube root

((x-5)/ -4) ^ 1/3 = y^ 3 ^1/3

((5-x)/4) ^ 1/3 = y

The inverse is ((5-x)/4) ^ 1/3

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Can someone help me on this?

Anna [14]

The answer would be B

5 0

4 years ago

A researcher receives 106 containers of oxygen. Of those containers, twenty of them have oxygen that is not ionized and the rest

9966 [12]

Answer:

0.1905 = 19.05%

Step-by-step explanation:

We have a total of 106 containers of oxygen, from which:

20 have oxygen not ionized, 86 have oxygen ionized.

If the first one selected is ionized, now we have 20 not ionized and 85 ionized.

So the probability of the second one selected being not ionized is the number of not ionized (20) over the total number of containers (20 + 85):

P = 20 / (20 + 85) = 0.1905 = 19.05%

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3 years ago

ANSWER ASAP TODAY FOR BRAINLIEST.

ivann1987 [24]

Answer:

Consistent independent

Consistent dependent

Inconsistent

Step-by-step explanation:

Consistent and Inconsistent Linear Systems

A system of equations is consistent if it has at least one solution. If the solution is unique, then the system is consistent independent, otherwise is consistent dependent, i.e., it has an infinite number of solutions.

When there is no solution for the system, the lines of each equation are parallel but not coincident. A consistent dependent has two non-parallel lines, and a consistent independent system has only one line, i.e. the same line represents both equations.

Two lines are parallel if they have the same slope. To find the slopes, we represent the equations in slope-intercept form:

y = mx + b

Where m is the slope and b is the y-intercept.

Consider the system:

4x + y = 8

x + 3y = 8

Rearranging both equations:

y = -4x + 8

y = -1/3 x + 8

The slopes of the lines are -4 and -1/3 respectively, since they are different, the system is consistent independent.

Consider the system:

-4x + 6y = -2

2x - 3y = 1

Rearranging both equations:

y = 4/6 x - 2/6 = 2/3 x - 1/3

y = 2/3 x - 1/3

Both equations are exactly the same, thus the system is consistent dependent.

Consider the system:

5x - 2y = 4

5x - 2y = 6

Rearranging both equations:

y = 5/2 x - 2

y = 5/2 x - 3

These lines are parallel but not coincident. Thus this system is inconsistent.

5 0

3 years ago

Help me i need help with this

weeeeeb [17]

16. 96 is 75% of 128
18. 200%

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3 years ago

How would you answer this question?

grigory [225]

Answer: Choice B

If you lower your rates by 6% you will increase the number of occupancies by 12%

========================================================

Explanation:

Price Elasticity of Demand is found by dividing the percent change of demand over the percent change in price

$\text{Price Elasticity of Demand} = \frac{\% \text{ change in demand}}{\% \text{ change in price}}$

If the price drops 6% leads to a 12% increase in demand, then we get this elasticity

$\text{Price Elasticity of Demand} = \frac{\% \text{ change in demand}}{\% \text{ change in price}}\\\\\text{Price Elasticity of Demand} = \frac{12\% \text{ increase in demand}}{6\% \text{ drop in price}}\\\\\text{Price Elasticity of Demand} = \frac{12\%}{-6\%}\\\\\text{Price Elasticity of Demand} = \frac{0.12}{-0.06}\\\\\text{Price Elasticity of Demand} = -2\\\\$

The absolute value of that result is 2. We work backwards going from 2 to see the relationship between the 12% and 6%.

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Side notes:

Choice A is incorrect as a price elasticity of demand larger than 2 means we have elastic (rather than inelastic) demand.
Choice C is incorrect because while raising rates does bring in more money in certain situations, there's a limit to how much the price goes up before people stop showing up. The prices can't go up forever. Also, the fact we have an elastic product means people are either forgoing this hotel or finding a substitute.
Choice D is incorrect. Products with high demand elasticity usually have substitutes. Any slight change in the price leads people to seek cheaper options. Unless we're dealing with a small town there are usually multiple hotels to choose from.

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4 years ago