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3 years ago

F(x) = 2x and g(x) = x + 1, find f(3) and find gf(3)

Mathematics

1 answer:

lord [1]3 years ago

8 0

Answer:

6 and 7

Step-by-step explanation:

To evaluate f(3), substitute x = 3 into f(x) , that is

f(3) = 2(3) = 6

To evaluate g(f(3)), substitute f(3) = 6 into g(x)

g(6) = 6 + 1 = 7

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The length of a school bus is 12.6 meters. If 9 school buses park end to end with 2 meters between each one, what's the total le

weqwewe [10]

Answer:

129.4

Step-by-step explanation:

Calculation for what's the total length from the front of the first bus to the end of the last

First step is to multiply the given number of buses by the length of each one

Hence,

12.6 meters x 9 = 113.4 meters

Second step

Since there are 8 spaces in between we would multiply the 8 spaces by 2 meters

8 x 2 meters = 16

Now let calculate total length from the front of the first bus to the end of the last

16 + 113.4 meters =129.4

Therefore total length from the front of the first bus to the end of the last will be 129.4

7 0

3 years ago

Find an explicit rule for the nth term of the sequence.The second and fifth terms of a geometric sequence are 18 and 144, respec

vova2212 [387]

Given:

second term = 18

fifth term = 144

The nth term of a geometric sequence is:

$\begin{gathered} a_n\text{ = ar}^{n-1} \\ Where\text{ a is the first term} \\ r\text{ is the common ratio} \end{gathered}$

Hence, we have:

$\begin{gathered} \text{ar}^{2-1}\text{ = 18} \\ ar\text{ = 18} \\ \\ ar^{5-1}=\text{ 144} \\ ar^4\text{ =144} \end{gathered}$

Divide the expression for the fifth term by the expression for the second term:

$\begin{gathered} \frac{ar^4}{ar}\text{ = }\frac{144}{18} \\ r^3\text{ = }\frac{144}{18} \\ r\text{ = 2} \end{gathered}$

Substituting the value of r into any of the expression:

$\begin{gathered} ar\text{ = 18} \\ a\text{ }\times\text{ 2 = 18} \\ Divide\text{ both sides by 2} \\ \frac{2a}{2}\text{ =}\frac{18}{2} \\ a\text{ = 9} \end{gathered}$

Hence, the explicit rule for the sequence is:

$a_n\text{ = 9\lparen2\rparen}^{n-1}$

5 0

1 year ago

Sam Is 11 years older than Susan the sum of their ages in years is 27 what’s sams age in years

sweet [91]

Answer:

Step-by-step explanation:

Let Sam be x

Let Susan be y

x = y+11

x + y = 27

Substitute (x) with (y+11)

(y+11) + y = 27

Solve the equation

2y + 11 = 27

2y = 16

y = 8

Susan's age is 8.

Sam's age is 8 + 11

Sam's age is 19

Hope this helped :)

5 0

3 years ago

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navik [9.2K]

Answer: 6 square 4

Step-by-step explanation:

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7 0

3 years ago

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Help!! I’m not smart.

Vadim26 [7]

Answer:

C. Reasons for changes in trends can be identified.

Step-by-step explanation:

The others would all be disadvantages.

7 0

3 years ago

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