Answer:
y-5=3(x-1)
Step-by-step explanation:
- The graph shows an equation y=a+bx, that has an intercept "a", in a=2 (value of y when x=0), and a slope "b", b=3 (to see the slope, watch the change in y when x changes a unit, remembering that each square in the graph represents a unit - for example, when y=2, a change on x, from x=0 to x=1 would result in y=6).
- Then, to know wich of the equations presented is the one that represent the graph, we should search that equation that meets the following requirements: <u>intercept a=2 and slope b=3</u>.
- The first expression can be rewrite as follows: y=6-13x (to arrive to this expression, we apply distributive property in the right ide of the equation, and then we sum 4 both sides of the equation). This equation does not meet our requirements.
- The second expression can be rewrite as follows: y=4+13x (we apply the same steps than we apply in the previous example). Again, this equation does not meet the requirements (intercept a=2 and slope b=3).
- The third expression can be rewrite as follows: y=1-3x (to arrive to this expression, we apply distributive property on the right side of the equation, and then we subtract 2 both sides of the equation. This expression does not meet the requirements either.
- Finally, the last equation can be rewrite like y=2+3x (to arrive to this expressionn, we apply distributive property in thesecond side of the equation, and then we add 5 both sides of the equation. This expression actually meet the requirements! It has an intercept equal to 2 and its slope is 3.
Answer:
a
Step-by-step explanation:
y = 3x - 7 → (1)
4x - 5y = - 20 → (2)
substitute y = 3x - 7 into (2)
4x - 5(3x - 7) = - 20
4x - 15x + 35 = - 20
- 11x + 35 = - 20 ( subtract 35 from both sides )
- 11x = - 55 ( divide both sides by - 11 )
x = 5
substitute x = 5 into (1)
y = 3(5) - 7 = 15 - 7 = 8
solution is (5, 8 )
Area = width x length
If the area is 48 and width is 6, you can do
Length = area/width
Length = 48/6
Length = 8
Perimeter = length x 2 + width x 2
Perimeter = 8x2 + 6x2
Perimeter = 16 + 12
Perimeter = 28 feet
Answer:
x³ + 5x
Step-by-step explanation:
2x+5x3+3x−4x3
=2x+5x3+3x+−4x3
Combine Like Terms:
=2x+5x3+3x+−4x3
=(5x3+−4x3)+(2x+3x)
=x3+5x