1/2 + 1/3 + 1/4 - x = - 2
6/12 + 4/12 + 3/12 - x = - 2
6 + 4 + 3 / 12 - x = - 2
13/12 - x = - 2
x = 13/12 + 2
x = 13/12 + 24/12
x = 37/12 Or x = 3 1/12
$39800 x 1.12 should give you the new price ($44,576) (this also works for taxes on goods when you’re at the store!)
Answer:
- See attachment for table values
- y₁ = y₂ for x = 6
Step-by-step explanation:
In each case, put the x-value in the formula and do the arithmetic. If you're allowed, you can save some time and effort by realizing that the solution (x) will have to be an even number.
y₁ is an integer value for all integer values of x. y₂ is an integer value for even values of x only. y₁ and y₂ will both be integers (and possibly equal) only when x is even.
For example, for x = 6, we have
... y₁ = 3·6 - 8 = 18 -8 = 10
... y₂ = 0.5·6 +7 = 3 +7 = 10
That is, for x = 6, both columns of the table have the same number (10). That is, y₁ = y₂ for x = 6. The solution to the equation
... y₁ = y₂
is
... x = 6.
Answer:
see explanation
Step-by-step explanation:
To find the y-intercept let x = 0, in the equation
6x - 3y = 15 → (1)
x = 0 : - 3y = 15 ⇒ y = - 5 ⇒ (0, - 5) ← y- intercept
x + 3y = - 8 → (2)
x = 0 : 3y = - 8 ⇒ y = - ⇒ (0, - ) ← y- intercept