Answer:
1. 1 point
2. The x-coordinate of the solution = 2/17
3. The y-coordinate of the solution = -16/17
Step-by-step explanation:
Given that the equation is of the form;
y = -2³×x and y = 9·x - 2, we have;
y = -8·x and y = 9·x - 2
1. Given that the two lines are straight lines, the number of points of intersection is one.
2. The x-coordinate of the solution
To find a solution to the system of equations, we equate both expression of the functions and solve for the independent variable x as follows;
-8·x = 9·x - 2
-8·x - 9·x= - 2
-17·x = -2
x = 2/17
The x-coordinate of the solution = 2/17
3. The y-coordinate of the solution
y = 9·x - 2 = 9×2/17 - 2 = -16/17
y = -16/17
The y-coordinate of the solution = -16/17.
Answer: 70s - 70
Step-by-step explanation:
Answer:
D. Graph D
Step-by-step explanation:D. Graph D
Step-by-step explanation:
We know that, 'Direct Variation or Directly Proportional' is relationship between two variables where one is a constant multiple of the other.
That is, if one variable changes, the other variable also changes in proportion to the first variable.
The general form of 'Direct Variation' is y = kx, where k is a constant i.e. it does not have a y-intercept.
Now, according to our options, we see that the figures of A,B,C are the graphs of the straight lines given by y =-2x+2 , y=2x+2, y=-2x+2 respectively.
Each of these three equations have y-intercept, therefore cannot be the equations of a direct proportion.
Now, in option D, the figure is the graph of straight line y = -x and has no y-intercept.
Hence, the linear function in Graph D shows a direct proportion.
Y intercept is where it touches the line x equals 0. The answer is 20.
X intercept is where it touches the line y equals 0. The answer is 5.
The slope is -5. Her money is decreasing after each comic she buys.
Y = -5x + 20
5 dollars plug x=3 in the equation.
The translated function is:
g(x) = 3^(x + 2) + 1
<h3>
How to translate 2 units down the given function?</h3>
Here we have the function:
f(x) = 3^(x + 2) + 4
And we want to translate it two units down.
Remember that a vertical translation of N units is written as:
g(x) = f(x) + N
- If N > 0, then the translation is upwards.
- If N < 0, then the translation is downwards.
So, if the translation is 3 units down, then N = -3, so the translated function is:
g(x) = f(x) - 3 = 3^(x + 2) + 4 - 3 = 3^(x + 2) + 1
If you want to learn more about translations:
brainly.com/question/24850937
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