What is the restriction of x^2-6x+5/x^2-3x-10

x ≠ - 2, 5

Step-by-step explanation:

The restrictions occur in the denominator which cannot be zero as this would make the function undefined. Equating the denominator to zero and solving gives the values that x cannot be.

solve x² - 3x - 10 = 0 ⇒ (x - 5(x + 2) = 0 ⇒ x = -2, 5

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: