Volume of a cube is side^3
therefor
v=27
27=side^3
what^3=27?
factor 27
27=3 times 3 times 3=3^3
27=side^3
3^3=side^3
cube roo bth sides
3=side
3 cm is on side
area=side^2
area=3^2
area=9 cm^2
15 ~ 3 - (14~2) just a note, this ~ means the division sign
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange x - 2y = - 3 into this form
Subtract x from both sides
- 2y = - x - 3 ( divide all terms by - 2 )
y = 
x + 
← in slope- intercept form
with m =
• Parallel lines have equal slopes, thus
y = x + c ← is the partial equation
To find c substitute (- 1, 2) into the partial equation
2 = - + c ⇒ c = 2 + = 
y = x + ← in slope- intercept form
Multiply through by 2
2y = x + 5 ( subtract 2y from both sides )
0 = x - 2y + 5 ( subtract 5 from both sides )
- 5 = x - 2y, thus
x - 2y = - 5 ← in standard form
Answer:
The range of the function in ascending order is:
Range R = {-2, 0, 2, 4}
Step-by-step explanation:
Given the function
f(x) = 2-2x
We know that the domain of the function is the set of input or arguments for which the function is real and defined.
In other words,
- Domain refers to all the possible sets of input values on the x-axis
As the domain of the function is given such as
Domain D = {-1, 0, 1, 2}
<u>Determining the range </u>
We also know that range is the set of values of the dependent variable for which a function is defined.
In other words,
Range refers to all the possible sets of output values on the y-axis.
As the domain is
Domain D = {-1, 0, 1, 2}
FOR x = 1
substitute x = -1 in the function
f(x) = 2-2x
f(-1) = 2-2(-1) = 2+2=4
so
at x = -1, y = 4
FOR x = 0
substitute x = 0 in the function
f(x) = 2-2x
f(-1) = 2-2(0) = 2-0=2
so
at x = 0, y = 2
FOR x = 1
substitute x = 1 in the function
f(x) = 2-2x
f(-1) = 2-2(1) = 2-2=0
so
at x = 1, y = 0
FOR x = 2
substitute x = 2 in the function
f(x) = 2-2x
f(-1) = 2-2(2) = 2-4=-2
so
at x = 2, y = -2
Thus combining all the output or y values correspond to the given input values, we get the range of the function.
Thus, the range of the function in ascending order is:
Range R = {-2, 0, 2, 4}
