What are the critical points for the inequality x^2 - 4/x^2 - 5x +6 < 0?
a. x = –2 and x = 2
b. x = 2 and x = 3
c. x = –3, x = –2, and x = 2
d. x = –2, x = 2, and x = 3

Critical points are: 2 , -2 and 3.

Step-by-step explanation:

We have been given the expression:

We will factorize the given expression:

Using

Critical point are those values of an expression when it is equal to zero

Hence, the critical points are: 2,-2 and -3.

d. x = –2, x = 2, and x = 3 are critical points.

Step-by-step explanation:

Given : < 0.

To find :What are the critical points for the inequality.

Solution : We have given that

< 0.

Using

< 0.

Now, on factoring denominator

Taking commom

x( x- 3) -2(x -3)

On grouping (x-3)(x -2)

.

We need to find critical point ,

Critical point on which expression is zero

Then x = 2, -2, 3 are critical point.

Therefore, d. x = –2, x = 2, and x = 3 are critical points.

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the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation: