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romanna [79]
2 years ago
8

Which of these systems of equations shows the solution for the graph?

Mathematics
1 answer:
I am Lyosha [343]2 years ago
4 0

Answer:

C)

Step-by-step explanation:

Note that one of the lines is simply y=-1 for any x, so we can dismiss the only answer without y=-1. That rejected answer is A)

Now let's notice, that the other line is decreasing y when increasing x. That tells us that in the equation y = ax + b, a has to be negative. This brings us to reject option D).

What is the y of that line for x = 0? Because y = ax + b, for x = 0 we will get the value of b. This is called the intercept. The line is at y=4 for x=0, so we know that the b in the equation must be positive 4. This fits answer C, but rejects answer B). And so, we have found that C) is the only possible answer.

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Help please!!!!!!!! It’s pre cal
tino4ka555 [31]

Answer:

No, the inverse function does not pass the vertical line test.

Step-by-step explanation:

Remember that h(x)=y. To find the inverse of our function we are going to invert x and y and solve for y:

h(x)=x^2+3

y=x^2+3

x=y^2+3

x-3=y^2

y=\pm\sqrt{x-3}

h^{-1}(x)=\pm\sqrt{x-3}

Now we can graph our function an perform the vertical line test (check the attached picture).

Remember that the vertical line test is a visual way of determine if a relation is a function. A relation is a function if and only if it only has one value of y for each value of x. In other words, a relation is a function if a vertical line only intercepts the graph of the function once.

As you can see in the picture, the vertical line x = 15 intercepts the function twice, so the inverse function h(x) is not a function.

We can conclude that the correct answer is: No, the inverse function does not pass the vertical line test.

6 0
3 years ago
Read 2 more answers
What function type does the table of values represent?
Anna [14]

Answer:

Hello,

answer C

Step-by-step explanation:

\begin{array}{|c|c|c|c|}x&y&x^2&3x^2\\---&---&---&---\\1&3&1^2&3*1^2=3\\2&12&2^2&3*2^2=12\\3&27&3^2&3*3^2=27\\4&48&14^2&3*4^2=48\\5&75&5^2&3*5^2=75\\\end{array}\\\\\\\boxed{y=3x^2\ the\ function\ is\ quadratic.}

7 0
2 years ago
does anyone know the questions and answers for FLVS MATH 7 grade DBA 3.00 module??? someone please help instead of telling me to
Mariana [72]

Answer: hi

Step-by-step explanation:

hi

6 0
3 years ago
Geometric sequence find common ratio 0.45,0.9,1.8
prisoha [69]

Answer:

<h3>The common ratio is 2</h3>

Step-by-step explanation:

To find the common ratio of the geometric sequence divide the previous term by the next term

That's

0.9 / 0.45 = 2

1.8 / 0.9 = 2

Therefore the common ratio is 2

Hope this helps you

7 0
3 years ago
Find last year's salary if, after a 5% pay raise, this year's salary is $36,225.
Nataly [62]

Answer:

$34500

Step-by-step explanation:

In order to reverse a 5% pay raise, divide by 1.05.

36225/1.05=34500

6 0
3 years ago
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