Answer:
y = 5x - 1
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 )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (2, 9)
m = = = 5 , then
y = 5x + c ← is the partial equation
To find c use any ordered pair from the table and substitute into the partial equation.
Using (3, 14 ) , then
14 = 15 + c ⇒ c = 14 - 15 = - 1
y = 5x - 1 ← equation of line
Short answer x = 11/3
Step OneChange 64 to a power of 4
Step TwoInclude 2x - 4 as part of your power. So far you are only working on the right side of the problem.
Step Three
The bases are the same so you can equate the powers.
2x + 6 = 4(2x - 4)
Step FourRemove the brackets on the right.
2x + 6 = 8x - 16
Step fiveCollect like terms. Begin by adding 14 to both sides.
2x + 6 + 16 = 8x Subtract 2x from both sides.
22 = 8x - 2x
22 = 6x Divide by 6
22/6 = x
x = 3.666333 or 3 2/3 or 11/3
Check
Left hand side4^(2*11/3 + 6)
4^(22/3 + 6)
4^(22/3 + 18/3)
4^(40/3)
Right Side64^(2*11/3 - 4)
64^(22/3 - 4)
64^(22/3 - 12/3)
64^(10/3) There is something we can do without figuring out what this is.
64 = 4^4
4^(4*10/3)
4^(40/3) which is the same as the left side
Answer x = 11/3 <<<<<
Answer:
the final cost would be 123.05
For this question, you would simply plug in a 2 wherever you see an x and plug in a 6 wherever you see a y. Then you simplify the expression.
3(2) + 8(6) - 7
6 + 48 - 7
47
Hope this helps!