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Sergio [31]
3 years ago
10

Function P is a linear function with a Y-intercept of 5.Function Q is defined by the equation Y=-1/3x +4.What statement must be

true about functions P and Q
A. both functions have the same slope
B. Both functions have a negative slope
C. the function will have the same input y=0
D. the functions will have different outputs when x=0
Mathematics
1 answer:
Damm [24]3 years ago
3 0

Answer:

Option D.

Step-by-step explanation:

we know that

The y-intercept is the value of y when the value of x is equal to zero

or

The y-intercept is the value of the function (output) when the value of x=0

In this problem

The output of the function P for x=0 is equal to 5  

The output of the function Q for x=0 is equal to 4  

therefore

The functions will have different outputs when x=0

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Answer:

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Step-by-step explanation:

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Answer:

The total numbers of possible combinations are 3430.

Step-by-step explanation:

Consider the provided information.

A combination for 0 1 2 3 4 6 5 7 8 9 this padlock is four digits long. Because of the internal mechanics of the lock, no pair of consecutive numbers in the combination can be the same or one place apart on the face.

Here, for the first digit we have 10 choices.

For the second digit we have 7 choices, as the digit can't be the same nor adjacent to the first digit.

For the third digit we have 7 choices, as the digit can't be the same nor adjacent to the second digit.

For the fourth digit we have 7 choices, as the digit can't be the same nor adjacent to the third digit.

So the number of choices are:

10\times 7\times 7\times 7=10\times 7^3\\10\times 343=3430

Hence, the total numbers of possible combinations are 3430.

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3 years ago
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Step-by-step explanation:

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