Answer:

Step-by-step explanation:
This is a difference of squares that has the form and factors to:

Here take the square root of each term for the factors.

3^2*3^2 (2x+3)=3^2+4x+6=3^4x+8
3^3*3^x-2=3^x+1
4x+8=x+1
3x=-7
x=-7/3
Answer:
5/8
Step-by-step explanation:
Freddie swam 3/8 laps yesterday
He also swam 1/4 laps today
Therefore the total lap swam can be calculated as follows
= 3/8 + 1/4
= 5/8
Hence the total lap is 5/8
Answer:
6x +3w
Step-by-step explanation:
3(2x + w)
Distribute
3*2x +3*w
6x +3w
Step-by-step explanation:
the domain is the set or interval of all valid x values.
the range is the set or interval of all valid y values.
1.
domain = {-1, 2, 5}
range = {0, 2, 3, 7}
function : no, because x = -1 has 2 different y values assigned (7 and 2). that violates the definition of a function.
2.
domain = {-3, -2, -1, 1, 4}
range = {-5, -1, 0, 2}
function : yes. every x bake has exactly one y value assigned.
3.
domain = {4, 6, 7}
range = {-1, 2, 3, 5}
function : no, because x = 4 has 2 different y values assigned (2 and 5).
4.
domain = [-3, 3) "3" is not included, hence the empty dot
range = [-4, 5]
function : yes
5.
domain = (-infinity, +infinity) "infinity" is not a possible value, so the limits are not included.
range = [-1, 2]
function : yes
6.
domain = [-2, +infinity)
range = (-infinity, +infinity)
function : no. except for x = -2 all x values have 2 different y values assigned.