1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kirill115 [55]
3 years ago
8

The line with equation y = 2 x + 3 is reflected in the x -axis. Which of the following is the equation of the new line?

Mathematics
1 answer:
aliina [53]3 years ago
4 0

Answer:

The equation of the new line is y = -2x - 3

Step-by-step explanation:

Reflecting a function over the x-axis:

Suppose we have a function y = f(x)

Suppose y' is the function y, reflected over the x-axis. Their relation is:

y' = -y

In this question:

Line with equation y = 2x + 3

Reflection over the x-axis:

We have that:

y = -(2x + 3) = -2x - 3

The equation of the new line is y = -2x - 3

You might be interested in
What is the equation of the graphed function?
choli [55]

Answer:

( 2 - x )^2

Step-by-step explanation:

8 0
3 years ago
Arianna is preheating her oven before using it to bake. Arianna created the following
fredd [130]

Answer:

The change in degrees Fahrenheit for every change of one minute.

Step-by-step explanation:

7 0
3 years ago
Classify each system of equations as having a single solution, no solution, or infinite solutions.
mina [271]
To find what the answer is for this problem, we need to find out whether each of them have infinite, no, or single solutions. We can do this individually.

Starting with the first one, we need to convert both of the equations into slope-intercept form. y = -2x + 5 is already in that form, now we just need to do it to 4x + 2y = 10.

2y = -4x + 10
y = -2x +5

Since both equations give the same line, the first one has infinite solutions.

 Now onto the second one. Once again, the first step is to convert both of the equations into slope-intercept form. 

x = 26 - 3y becomes
3y = -x + 26
y = -1/3x + 26/3 

2x + 6y = 22 becomes
6y = -2x + 22
y = -1/3 x + 22/6

Since the slopes of these two lines are the same, that means that they are parallel, meaning that this one has no solutions. 

Now the third one. We do the same steps. 

5x + 4y = 6 becomes
4y = -5x + 6
y = -5/4x + 1.5
 
10x - 2y = 7 becomes
2y = 10x - 7
y = 5x - 3.5

Since these two equations are completely different, that means that this system has one solution.

Now the fourth one. We do the same steps again. 

x + 2y = 3 becomes
2y = -x + 3
y = -0.5x + 1.5

4x + 8y = 15 becomes
8y = -4x + 15
y = -1/2x + 15/8

Once again, since these two lines have the same slopes, that means that they are parallel, meaning that this one has no solutions. 

Now the fifth one. 

3x + 4y = 17 becomes
4y = -3x + 17
y = -3/4x + 17/4

-6x = 10y - 39 becomes
10y = -6x + 39
y = -3/5x + 3.9

Since these equations are completely different, there is a single solution. 

Last one!

x + 5y = 24 becomes
5y = -x + 24
y = -1/5x + 24/5

5x = 12 - y becomes
y = -5x +12

Since these equations are completely different, this system has a single solution. 
8 0
3 years ago
0000003.09+0000002.1​
Ivanshal [37]

Answer:

5.19

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Find the domain and range of the function
Karolina [17]
Domain- {-2, 1, 0, 1, 2}
Range- {-2, 0, 2}

My domain is right but I don’t think my range is. I did learn this 4 years ago though so
5 0
3 years ago
Other questions:
  • Which is the graph of f(x) = 100(0.7)x?
    6·2 answers
  • Write your answer without exponents 27^-2/3
    12·1 answer
  • Which is not a statistical question that might be used to gather data
    10·1 answer
  • What is the answers to this
    11·2 answers
  • Distance from sun in au from mercury pls thanks
    13·1 answer
  • What is N?<br> 10 points!!
    11·1 answer
  • Round 5.39 to the nearest whole number
    8·2 answers
  • PLZ HURRY IT'S URGENT!!!
    12·1 answer
  • Write two equivalent ratios using four different types of music in the data table showing. How do you know the ratios are equiva
    10·2 answers
  • What is the missing number in this pattern
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!