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katovenus [111]
3 years ago
12

Please help me with the following questions. Thanks in advance!!

Mathematics
2 answers:
puteri [66]3 years ago
7 0

Answer:

Step-by-step explanation:

In choices a and b, the bases are positive numbers greater than 1, and so these are growth functions.  In c and d, the bases are between 0 and 1, and thus these are decay functions.

In the second problem we have 3ln(x + 1).  Rewrite this as ln(x + 1)^3.

We also have 9ln(x - 4).  Rewrite this as ln(x - 4)^9.

Because of the + sign connecting ln(x + 1)^3 and ln(x - 4)^9, these two logs combine to form

ln [ (x + 1)^3 ] * (x - 4)^9 (the log of a product).

Now we have:

ln [ (x + 1)^3 ] * (x - 4)^9  -  4ln(x + 7), or:

       [ (x + 1)^3 ] * (x - 4)^9

ln ------------------------------------

                (x + 7)^9

bonufazy [111]3 years ago
4 0

Answer:

Step-by-step explanation:

Looking at the table

a) f(x) = 0.35(10)^x is a growth function. The rate of change is greater than one.

b) f(x) = 8(3.75)^x is a growth function. The rate of change is greater than one.

c) f(x) = 2.1(0.79)^x is a decay function. The rate of change is lesser than 1

d) f(x) = 4.3(0.28)^x is a decay function. The rate of change is lesser than 1

5) 3ln(x + 1) + 9(ln x - 4) -4ln( x +

7)

Recall

alnb = b^a. Therefore, the expression becomes

ln(x + 1) ^3 + ln(x -4x)^9 - ln(x + 7)^4

= ln [(x+1)^3 × l(x - 4)^9]/(x + 7)^4

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ololo11 [35]
All the factors of 32 include: 1,2,4,8,16,32
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8 0
3 years ago
The base is a square 16m 6m
Ostrovityanka [42]

base is a square 16m 6m

Step-by-step explanation:

A square is a regular quadrilateral and it has four equal sides and four equal angles (90 degree angle or right angles).

A square quadrilateral with vertices ABCD would be denoted by ABCD. The perimeter of a square (quadrilateral) is given by:

P = 4a

Where a is the length of each side.

Perimeter of the square:

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P = 4 × 16 cm

P = 64 cm

Hence, the perimeter of square is 64 cm.

7 0
3 years ago
Somebody please help me
miss Akunina [59]
I chose x^3, it would be a cubic function , then it’s -(x-6 )^3 -2
4 0
3 years ago
What is the difference 1/9 - 5/6 a 13/18 b 1/18 c - 1/18 d -13/18
Murrr4er [49]
1/9 - 5/6

Convert both of them into denominators of 18.

2/18 - 15/18

Subtract the numerators and keep the denominator:

-13/18
3 0
3 years ago
Use the zero product property to find the solutions to the equation 6x^2 – 5x = 56.
frez [133]

Answer:

x = 7/2 or x = -8/3

Step-by-step explanation:

Solve for x over the real numbers:

6 x^2 - 5 x = 56

Divide both sides by 6:

x^2 - (5 x)/6 = 28/3

Add 25/144 to both sides:

x^2 - (5 x)/6 + 25/144 = 1369/144

Write the left hand side as a square:

(x - 5/12)^2 = 1369/144

Take the square root of both sides:

x - 5/12 = 37/12 or x - 5/12 = -37/12

Add 5/12 to both sides:

x = 7/2 or x - 5/12 = -37/12

Add 5/12 to both sides:

Answer:  x = 7/2 or x = -8/3

8 0
3 years ago
Read 2 more answers
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