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Kaylis [27]
3 years ago
8

If f(x) = 3^(x + 4), find f(2). A. 729 B. 243 C. 81 D. 18

Mathematics
1 answer:
Umnica [9.8K]3 years ago
4 0

Answer:

f(2) = 729

Step-by-step explanation:

f(x) = 3^(x + 4)

Let x =2

f(2) = 3^(2 + 4)

f(2) = 3^(6)

f(2) = 729

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7 0
3 years ago
(-5, 18), (19,9)<br> Find the slope of the line through each of pair of points
n200080 [17]

Answer: 3/8

Step-by-step explanation: If you put it into the slope formula, you would get 18 - 9 / 19 - (-5) which simplifies to 9/24 and then to 3/8.

5 0
2 years ago
Read 2 more answers
Which equations have a unit rate of change of 4.5 ? select 2 answers
Maurinko [17]

Answer:

Options A and C

Step-by-step explanation:

<u>To have a unit rate of change of 4.5 means to have the slope at 4.5</u>

A.  y = 62 + 4.5x  GOOD

B.  c = 4.5 + 3h - 1  WRONG

C.  c = 12 + 4.5h - 4.5  GOOD

D.  y = 3.5x + 1  WRONG

E.  y = 4.5  + 20x WRONG

Answer:  Options A and C

3 0
3 years ago
In the 1990s the demand for personal computers in the home went up with household income. For a given community in the 1990s, th
WITCHER [35]

Answer:

a) 0.5198 computers per household

b) 0.01153 computers

Step-by-step explanation:

Given:

number of computers in a home,

q = 0.3458 ln x - 3.045 ;   10,000 ≤ x ≤ 125,000

here x is mean household income

mean income = $30,000

increasing rate, \frac{dx}{dt} = $1,000

Now,

a) computers per household are

since,

mean income of  $30,000 lies in the range of 10,000 ≤ x ≤ 125,000

thus,

q = 0.3458 ln(30,000) - 3.045

or

q = 0.5198 computers per household

b) Rate of increase in computers i.e \frac{dq}{dt}

\frac{dq}{dt} = \frac{d(0.3458 ln x - 3.045)}{dt}

or

\frac{dq}{dt}=0.3458\times(\frac{1}{x})\frac{dx}{dt} - 0

on substituting the values, we get

\frac{dq}{dt}=0.3458\times(\frac{1}{30,000})\times1,000

or

= 0.01153 computers

6 0
3 years ago
Other than 1, what are the perfect square factors for 792? From least to greatest.
Reika [66]

Answer:

Factors of 792: 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792. Factor pairs: 792 = 1 x 792, 2 x 396, 3 x 264, 4 x 198, 6 x 132, 8 x 99, 9 x 88, 11 x 72, 12 x 66, 18 x 44, 22 x 36 or 24 x 33.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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