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3 years ago

Is y=x-7 a linear function

Mathematics

1 answer:

madreJ [45]3 years ago

6 0

Answer:

Yes

Step-by-step explanation:

It satisfies the form y=mx+c for a linear function

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Solving systems by Substitution Homework y=x+4 y=x-3

zvonat [6]

There is no solution for this equation since they have the same slope, x/1. The only difference between these two is that their y intercepts are different meaning that they will be parallel lines that will never intersect among one other. For example, think of it as two separate lines that are have the same slope and never gain more distance/units from one another.

Solve:

To solve, you have to get one of this equations into a Ax+By=C equation form, standard equation. Let’s change y=x+4 into a standard equation.

We have to get x and y together and 4 as C.
So let’s subtract x from both sides;

y=x+4
-x -x
————————
-x+y=4

This is a standard equation.

Now let’s substitute.

take the standard equation and plug in y which is x+4 since there is a equation meaning it’s y=x+4

-x+(x+4)=4

Let’s simplify this mess.

-x+x equals 0. So we are left with 4=4.

Subtract 4 from both sides and we get 0=0

This means there is no solution. Hoped this helped.

8 0

3 years ago

Because the graph below is misleading, which magazine appears to have about four times the circulation of Circuitry Today?

OverLord2011 [107]

I think the answer is b

7 0

2 years ago

What is the least number of solution a quadratic system can have

Setler79 [48]

The least number of quadratic system can have is Two real solutions or no real solutions.

8 0

3 years ago

As part of a study done for a large corporation, psychologists asked randomly selected employees to solve a collection of simple

zhenek [66]

Answer:

$P(A')=1-0.411=0.589$

And that represent the probability that they take longer than 7 minutes to solve the puzzles.

Step-by-step explanation:

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: $P(A)+P(A') =1$

On this case we have that n= 56 represent the employees selected to solve the puzzles.

We know that 23 out of the 56 selected solved the puzzles in less than 7 minutes.

Let's define the events A and A' like this:

A: Employees solved puzzles in less than 7 minutes

By the complement rule then:

A' : Employees solved puzzles in more than 7 minutes

Based on this we are interested to find the probability for A'

We can begin finding P(A), from the definition of probability we know:

$P(A)=\frac{Possible outcomes}{Total outcomes}$

For this case if we replace we got:

$P(A) =\frac{23}{56}=0.411$

And using the complemnt rule we got:

$0.411 +P(A')=1$

And solving for P(A') we got:

$P(A')=1-0.411=0.589$

And that represent the probability that they take longer than 7 minutes to solve the puzzles.

4 0

3 years ago

Artaud noticed that if he takes the opposite of his age and adds 45 he gets the number 32. How old is Artaud?

elena-14-01-66 [18.8K]

Answer:

He is 13 years old

Step-by-step explanation:

32-45=-13

the opposite of -13 is positive 13

3 0

3 years ago