Factor 6x^4 - 5x^2+12x^2-10 by grouping. what is the resulting expression?

Factorized form of the expression will be (x² + 2)(6x²- 5).

Step-by-step explanation:

In the given expression we have to factorize it by grouping.

For which we will divide the expression in 2 groups as below.

=

Now we take the common terms x² from first term and 2 from second group.

= x²(6x² - 5) + 2(6x² - 5)

= (x² + 2)(6x² - 5)

Therefore, resulting expression after factorization will be (x² + 2)(6x² - 5)

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d

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: