First, we distribute the 2 through the parenthesis.
3x+2x+8=5(x+1)+3
Then we distribute the 5 through the parenthesis
3x+2x+8=5x+5+3
Collect the like terms
5x+8=5x+5+3
Add the numbers
5x+8=5x+8
The statement is true for any value of x, because both sides are identical
17.4, since there are no other decimal number values.
Answer: The equation not represent a proportional relationship because the line don't passes through the origin
Step-by-step explanation:
Answer:
A shaded region below a dashed line (y <3x-4)
Step-by-step explanation:
For linear inequalities, we have shaded regions below or above a dashed or solid or continuous line represented by an inequality.
Their graphs are called region graphs. Those regions are only enclosed ones if before the sign of inequality it is included both variables. Like x²+y²<1, |x+y|<1, etc.
In this case what we have here is an open region, as the graph below shows.
3x-y>4 =-y>4-3x∴y<3x-4
Setting a value for x
3x-4=0
3x=4
3x/3=4/3
x=4/3 (slope)
(4/3,0)
Answer:
A cantaloupe costs $4
Step-by-step explanation:
Watermelons = W
Cantaloupes = C
Write given statements as equations
5W + 6C = 54
4W + 8C = 56
Simplify the second equation
4W + 8C = 56
Subtract 8C from both sides of the equation
4W = 56 - 8C
Divide both sides of the equation by 4
W = 14 - 2C
Substitute into second equation
5W + 6C = 54
5(14 - 2C) + 6C = 54
Multiply 5(14 - 2C)
70 - 10C + 6C = 54
Add -10C + 6C
70 - 4C = 54
Add 4C to both sides of the equation
70 = 54 + 4C
Subtract 54 from both sides of the equation
16 = 4C
Divide both sides of the equation by 4
C = 4
A cantaloupe costs $4
5W + 6(4) = 54
Multiply 6(4)
5W + 24 = 54
Subtract 24 from both sides of the equation
5W = 30
Divide both sides of the equation by 5
W = 6
A cantaloupe costs $4
A watermelon costs $6
Hope this helps :)