Which graph is the solution to this system y-4x=-1y+x=4
1 answer:
First, let's find the x and y intercepts
In the first equation
y - 4x = -1
Put x =0
y= - 1
(0, -1)
Put y=0 and the n solve for x
0 - 4x = -1
-4x = -1
x=0.25
(0.25 , 0)
The points for the first equation is (0, -1 ) and (0.25, 0)
Next is to find the intercts for the second equation
y + x = 4
put x=0
y = 4
(0, 4)
Put y =0
0 + x = 4
x = 4
( 4, 0)
The points for the second equation are;
(0, 4) and (4, 0)
Below is the graph
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Answer:
Step-by-step explanation:
The table shows how the time it takes a train to travel between two cities depends on its average speed.
function models the time, y, in hours, that it takes the train to travel between the two cities at an average speed of x miles per hour
y represents the time
and x represents the average speed
WE know distance = speed * times
LEts find the distance using the table
distance = 32* 5= 160
40*4= 160
50*3.2 = 160
Time = distance / speed
times is y , distance is 160 and speed is x
Answer:
(a) 12.87; 14; 18; (b) median
Step-by-step explanation:
(a) Statistics
(i) Mean
The mean is the sum of all the data points divided by the number of points.
(ii) Median
The median is the middle value in your list of observations.
0, 2, 3, 12, 12, 13, 14, 14, 15, 15, 18, 18, 18, 19, 20
Median = 14
(iii) Mode
The mode is the value that appears most often in your list of observations.
0, 2, 3, 12, 12, 13, 14, 14, 15, 15, 18, 18, 18, 19, 20
Mode = 18
(b) Most representative measure
The mean is dragged down by three low values. The median is the measure that is most representative of the data.
The histogram below shows the distribution of your data.
Answer:
The graph now opens in the opposite direction. The y intercept is shifted up 4.
Step-by-step explanation:
F(x) = 2x^2-8
F(X)= -2x^2-4
We know that the graph is reflected over the y-intercept becuase of the negative sign in the second equation ( F(X)= -2x^2-4)
We know that the intercept is shifted up four, because the number decreased from 8 to 4, and the graph is reflected.
Attacthed is both of the equations graphed to help you visualize this shift!
