Answer:
,
, and 
Step-by-step explanation:
<-- Given
<-- Factor out m²
<-- Factor out n³
<-- Factor out 8
<-- Difference of Squares
Therefore, the factors are
,
, and 
Answer:
x = 4
Step-by-step explanation:
180 = 102 + 24x - 18
- 102 - 18 = 84
- subtract 84 from both sides
- 96 = 24x
- divide both sides by 4
- 4 = x
We are given the equation of a line
y = -2x + 1
We have to find the value of y at three different values of x i.e. at x =0, -3 and 1
In order to find the value of y at any given x, simply replace x by that number.
So, for x=0, we will replace x by 0 to find the value of y. So y will be:
y = -2(0) + 1
y = 1
This can be expressed as an ordered pair as (0,1)
Similarly for x=-3, we get:
y = -2(-3) + 1 = 6 + 1
y = 7
This can be expressed as an ordered pair as (-3, 7)
And, finally for x=1, we get:
y= -2(1) + 1 = -2 + 1
y= -1
This can be expressed as an ordered pair as (-1, -1)
Answer:
- g(-x) = 70 +3x
- -g(x) = -70 +3x
- -g(-x) = -70 -3x
Step-by-step explanation:
Put the minus signs where the problem statement tells you. As with any function, the argument replaces the variable in the function definition. That is, for g(-x), you put (-x) where x is in the definition of the function.
g(-x) = 70 -3(-x) = 70 +3x
-g(x) = -(70 -3x) = -70 +3x
-g(-x) = -(70 -3(-x)) = -70 -3x