If you want to draw a table, you need to give values to the X and resolve the equation to find Y.
For example with y=-3x+5
X=0
Y= -3 x 0 + 5
Y= 5
X=1
Y = -3x1 + 5
Y=2
X=2
Y= -3 x 2 + 5
Y= -1
Whe you have some numbers, draw an X Y axis and you can graphic it.
decreases
remains the same,
The graph of the new function compared with the first one is the graph would be shifted upward.
In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
The given equations are;
y = x - 6
y = x + 8
To compare the equation substitute the value of x = 0 and solving for the value of y.
y = x - 6
x = 0
y = 0 -6
y = -6
And y = x + 8
y = 0 + 8
y = 8
So the function would be shifted upward.
Hence, the graph of the new function compared with the first one is the graph would be shifted upward.
Learn more about the equation here;
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Answer:
p =
Step-by-step explanation:
change the mixed number to an improper fraction
- 2 = - , hence
- p = - 3 ( multiply both sides by 7 )
- 15p = - 21 ( divide both sides by - 15 )
p = =
To solve this question, convert '-2 1/7' to an improper fraction (-15/7), then divide both sides of the equation by this value. This simplifies to p = 1.4 which is the solution.
In order to solve the equation (-2 1/7)p=-3, it's helpful to remember that multiplying each side of an equation by the same value does not change the solution. In this case, (-2 1/7) represents a fraction (-15/7) when converted to an improper fraction. Now, to isolate p on one side of the equation, divide both sides of the equation by (-15/7). This provides the solution: p = -3 / (-15/7), which simplifies to p = 1.4. Therefore, the solution to the equation is p = 1.4
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Answer:
1280, -5120
Step-by-step explanation:
it gets multiplied by -4 every time
Part A
Go to your math tools and open the Graph tool to graph the two sets of equations. To see where the two lines intersect, change the scale so that the x-axis goes from 0 to 30 and the y-axis goes from 0 to 12. Paste a screenshot of the resulting graph in the answer space.
Part B
At which point do the lines intersect?
Part C
Do the coordinates of the point of intersection satisfy both equations simultaneously?
Answer:
Part-A: refer to the attachment
Part-B: (10,11)
Part-C: yes
step-by-step explanation:
Part-A:
refer to the attachment
(I used a online graphing calculator to graph the equations which made the work easy)
Part-B:
When two lines share exactly one common point, they are called the intersecting lines and thepointis called thepointof interception
Looking at the graph,we can understand that the two lines share a common point at (10,11),
hence,
The lines intercept at the point (10,11)
PartC:
well, to find the answer of this part, we can consider doing equality check by substituting the value of the point we got.
The point (10,11) means that the left and right hand side of both of the equations i.e are equal when x and y equal to 10 and 11 respectively.
So let's justify the points:
equation-1:
substitute the value of x and y respectively:
simplify addition:
equation-2:
substitute the value of x and y respectively:
simplify addition:
so,
Yes,the coordinates of the point of intersection satisfy both equations simultaneously
Answer:
h
Step-by-step explanation: