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pantera1 [17]
2 years ago
5

Factor completely x3 − 2x2 − 8x 16. (x 2)(x2 8) (x − 2)(x2 8) (x 2)(x2 − 8) (x − 2)(x2 − 8).

Mathematics
1 answer:
dybincka [34]2 years ago
8 0

Answer:

D) (x - 2)(x² - 8)

Step-by-step explanation:

Separate the polynomial into two groups of two terms and factor out the common value from each group.  If the values factored out from each group are the same, then you can use the grouping method.  The factors will be the outside terms and the common factor.

   x³ - 2x²     +     -8x + 16

=  x²(x - 2)      +     -8(x - 2)

= (x² - 8)(x - 2)

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a 34 gram sample of a substance that's used to treat thyroid disorders has a k-value of 0.137. find the substance's half-life, i
Ira Lisetskai [31]

Answer:

5.1 days

Step-by-step explanation:

Given in the question,

initial amount of substance = 34 grams

k-value = 0.137

To find the half life of this substance we will use following formula

N(0)/2 = N(0)e^{-kt}

here N(0) is initial amount of substance

        t is time in days

Plug values in the formula

34 /2 = 34e^{-0.137t}

1/2 = e^{-0.137t}

Take logarithm on both sides

ln(1/2) = ln( e^{-0.137t})

ln(1/2) = -0.137t

t = ln(1/2) / -0.137

t = 5.059

t ≈ 5.1 days (nearest to tenths)

3 0
3 years ago
Twenty percent of the 640 pitches Kendall threw last year were strikes. Which table can be used to find the number of strikes sh
Ksju [112]

Answer:

1 out of every 5 throws were strikes.

Step-by-step explanation:

20% is one fifth of 100%.

5 0
2 years ago
Read 2 more answers
Can you tell me what that is I don't have a calculate
kicyunya [14]
The answer is 5 and i am writing this other stuff because it said my answer was short
3 0
3 years ago
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Express the function f(x) =3x^2-6x-18 in the form a(x + h)^2=k, where a, h and k are constants.Hence state the :
ololo11 [35]

Answer:

The minimum value of f(x) is -21 and it occurs at x = 1

Step-by-step explanation:

f(x) =3x^2-6x-18

Factor out the greatest common factor out of the first two terms

f(x) =3(x^2-2x)-18

Complete the square

-2x/2 =-1  (-1)^2 = 1

Add 1  (But remember the 3 out front so we are really adding 3  so we need to subtract 3 to remain balanced)

f(x) = 3(x^2 -2x+1) -3 -18

f(x) = 3(x-1)^2 -21

This is vertex form

f(x) = a(x-h)^2 +k  where (h,k) is the vertex and a is a constant

The vertex is (1,-21)  

Since a > 0 this opens upward and the vertex is a minimum

The minimum value of f(x) is -21 and it occurs at x = 1

6 0
3 years ago
Evaluate the expression for x = 3, y = 1/3 , and z = 5.<br><br> 12x − 3y / 4x − z
bixtya [17]

Answer:

30.25 in decimal form

30 1/4 in fraction form

Step-by-step explanation:

12(3) − 3(1/3) / 4(3)− (5)  = 30.25 or 30 1/4  

8 0
2 years ago
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