Answer:
The factors are (x-4) and (x+1)
(x-4)(x+1) = x²+x-4x-4 = x²-3x-4
Step-by-step explanation:
(x-4)(x+1) = x²+x-4x-4 = x²-3x-4
Answer:
The correct option is the last one.
Step-by-step explanation:
To transform the graph of into the following steps are fulfilled:
1) Move the graph 2 units to the right:
Let then Notice that the cut point has been moved to x = 2.
2) Reflect on the x axis:
To reflect a graph on the x-axis we do Then
3) Stretch according to factor 2.
For this we do
Then we have
4) Move up the graph in two units:
We do
Then
These steps coincide with those listed in the last option. Therefore the correct option is the last one.
"Translate 2 units on the right, reflect on the x-axis, stretch according to the factor 2 and translate 2 units"
Answer:
A = (0, -8)
Step-by-step explanation:
B = (A+C)/2 . . . . the midpoint is the average of the end points
A = 2B -C = 2(-3, -5) -(-6, -2) . . . solve for A, substitute point values
A = (0, -8)
Add up all the values shown:
64+28+52+56 = 200
This result indicates that there are 200 students total.
Of these 200 total people, there are 28 who are attending both colleges. This is the value shown in the overlapping region of the two circles.
Divide the two values (28 and 200) to get...
28/200 = 0.14 = 14%
The probability as a decimal value is 0.14 which is saying there's a 14% chance of picking someone who goes to both colleges.
The equation of the line would be y = (1/2)x.
To find the equation of a line that is reflected through the line y = x, we just switch the x and y. Then, solve for y.
y = 2x
x = 2y
0.5x = y