Answer:
The range of the function will be: {-9, -5, -1, 3, 7}
Step-by-step explanation:
- We also know that the range of a function is the set of values of the dependent variable for which a function is defined.
Given the function
f(x) = 2x - 1
Given that the domain of the function is:
{-4, -2, 0, 2, 4}
Putting x=-4
f(x) = 2x - 1
f(-4)= 2(-4)-1=-8-1=-9
Thus,
at x=-4, y = -9
Putting x=-2
f(x) = 2x - 1
f(-2)= 2(-2)-1=-4-1=-5
Thus,
at x=-2, y = -5
Putting x=0
f(x) = 2x - 1
f(0)= 2(0)-1=0-1=-1
Thus,
at x=-2, y = -1
Putting x=2
f(x) = 2x - 1
f(2)= 2(2)-1=4-1=3
Thus,
at x=-2, y = 3
Putting x=4
f(x) = 2x - 1
f(4)= 2(4)-1=8-1=7
Thus,
at x=-2, y = 7
We also know that the range of a function is the set of values of the dependent variable for which a function is defined.
Thus, the range of the function will have all the y values correspond to all the x values for which the function is defined.
Thus, the range of the function will be: {-9, -5, -1, 3, 7}
Answer:
The correct answers are A, C and D.
Step-by-step explanation:
Given the equation 4x - 5y = 24, we substitute the coordinates of the given points to determine whether the equation is then true or not true.
For example, if we focus on point B: (6, 0), x = 6 and y = 0 and the equation becomes 4(6) - 5(0) = 24, which is TRUE.
Doing the same thing with A: (-9, -12), we get 4(-9) - 5(-12) = 24, which is also TRUE.
Check out C: (4, 8): 4(4) - 5(8) = 24. This is FALSE.
Check out D: (1, -4): 4(1) - 5(-4) = 24. This is TRUE.
The correct answers are A, C and D.
Answer:
(6,0) or (0,-1)
Step-by-step explanation:
X-6y=6
X=6+6y
X/6=1+y
X/6-1=y
y=X/6-1
We'll use substitution to solve the ordered pair. Let's say Y = 0. We'll insert it back into our equation.
0=X/6-1
1=X/6
6=X
(6,0)
We can also start with X being = 0.
y=0/6 -1
y=-1
(0,-1)
I've attached what that would look like as a graph.
Answer:
x =7
Step-by-step explanation:
2(x-3)+4=12 Remove the brackets on the left
2x - 6 + 4 = 12 Combine
2x - 2 = 12 Add 2 to both sides
2x - 2 + 2 = 12 + 2 Combine
2x = 14 Divide by 2
2x/2 = 14/2
x = 7
Answer:
The length of the third side is ( x - 2 )
Step-by-step explanation:
Volume of a box is the product of its length, width and height.
Volume of box = length × width × height.
One side is (x - 4) and another side is (2x + 1).
These given sides can be either length, height or width.
The volume of a box is given by V = 2x3-11x2 +10x +8. This means each of the sides are factors of the volume. To get the third side, we divide the volume by the product of the two given sides.
Product of the two given sides =
( x-4 ) (2x + 1) = 2x^2 + x - 8x + 4
= 2x^2 - 7x - 4
The long division is shown on the attached photo
The length of the third side is ( x - 2 )
