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Aliun [14]
3 years ago
14

Determine if the function is one-to-one. A decreasing line intercepting the y axis at 0,4

Mathematics
2 answers:
PilotLPTM [1.2K]3 years ago
8 0

Answer:

Yes, it is a one-to-one function.

Step-by-step explanation:

If every element of the range of the function corresponds to exactly one element of the domain, then the function is called one-to-one.

A linear function is always a one-to-one function. It means all straight lines represent one-to-one function, except the vertical or horizontal lines.

It is given that a decreasing line intercepting the y axis at (0,4). We need to check whether it is a one-to-one function or not.

Since, all increasing or decreasing lines represent the one-to-one function, therefore the given function is also a one-to-one.

sesenic [268]3 years ago
3 0

Answer:

  it is

Step-by-step explanation:

Any linear function is one-to-one. It passes both the horizontal and vertical line test. Every element of the range maps to exactly one element of the domain and vice versa.

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Find the domain of the function (f/g)(x) given f (x)=x^2-4x-5 and g(x)=x^2-25
stealth61 [152]

Answer:

all real numbers except ±5.

Step-by-step explanation:

Each function (f(x), g(x)) has a domain that is all real numbers. Their quotient (f(x)/g(x)) must exclude values that make g(x) = 0. The quotient is undefined when the denominator is zero. Those excluded values are x = ±5.

The domain of (f/g)(x) is all real numbers except ±5.

___

Of course you recognize x^2 -25 = 0 has solutions x = ±√25 = ±5. You can get there two ways:

  1. add 25 and take the square root: x^2=25; x=±√25.
  2. factor the difference of squares and set the factors to zero: (x-5)(x+5)=0 has solutions x-5=0 and x+5=0, that is, x = ±5.
5 0
3 years ago
A beacon is flashing on top of a 50 foot tower. A 6 foot tall man walks constantly away from the tower at 5 feet/sec. At the ins
Viefleur [7K]

Answer:\frac{253}{44}

Step-by-step explanation:

ignore the "at the instant the man is 30 feet away" part, set it as X and the man's shadow as Y.

Similar triangles so we can do \frac{50}{x+y}  = \frac{6}{y}.

Solve for it we get 44y = 6x

Differentiate relative to time t, we get 44y' = 6x'.

change in x (x') is equal to 5. And we get the answer y' = \frac{33}{44}.

the \frac{33}{44} ft/sec is the rate of which the length of the shadow is changing. add 5 to it for the rate of the tip of his shadow moving away from the tower.

7 0
2 years ago
A person runs 1/7 mile in 1/56 hour.The person's speed is miles per hour.
Oduvanchick [21]
1 minute 8.25 seconds per mile
8 0
3 years ago
Read 2 more answers
Please help me i will give brainliest
Rzqust [24]

Answer:

the answer is A. :)

7 0
2 years ago
The mass of the particles that a river can transport is proportional to the sixth power of the speed of the river. A certain riv
katrin2010 [14]

Answer:

7.25

Step-by-step explanation:

200m/s^6 = m/3^6

s^6 = 200*3^6

s = 3*200^(1/6) = 7.25 mi/hr

Hope I helped!


8 0
3 years ago
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