Type the correct answer in the box. Use numerals instead of words. If necessar
Consider functions fand g.
f(x)
8
I + 2
4x2 + 2
Evaluate the function composition.
(fog)(-1) =

Answer:

a) 3, 6, 9, 12, 15,...,[tex]3\cdot n[/tex], b) 4, 7, 10, 13, 16,...,[tex]3\cdot n +1[/tex], c) Both sequences are arithmetic.

Step-by-step explanation:

a) The sequence of natural numbers which are multiplied by 3 are represented by the function [tex]f(n) = 3\cdot n[/tex], [tex]n\in \mathbb{N}[/tex]. Let see the first five elements of the sequence: 3, 6, 9, 12, 15,...

b) The sequence of natural numbers which are multiplied by 3 and added to 1 is represented by the function [tex]f(n) = 3\cdot n + 1[/tex], [tex]n\in \mathbb{N}[/tex]. Let see the first five elements of the sequence: 4, 7, 10, 13, 16,...

c) Both sequences since differences between consecutive elements is constant. Let prove this statement:

(i) [tex]f(n) = 3\cdot n[/tex]

[tex]\Delta f = f(n+1) -f(n)[/tex]

[tex]\Delta f = 3\cdot (n+1) -3\cdot n[/tex]

[tex]\Delta f = 3[/tex]

(ii) [tex]f(n) = 3\cdot n +1[/tex]

[tex]\Delta f = f(n+1)-f(n)[/tex]

[tex]\Delta f = [3\cdot (n+1)+1]-(3\cdot n+1)[/tex]

[tex]\Delta f = 3[/tex]

Both sequences are arithmetic.

Answer:

Step-by-step explanation:

Answer:

y=75+15m

Step-by-step explanation:

75 - initial payment

15m - 15 dollars payed each month (m)

Answer: I think -131

Step-by-step explanation:

Answer:

The equation of the line is:

y = 2/3x - 3

The graph is also attached below.

Step-by-step explanation:

From the given diagram, let us take two points

(0, -3)

(4.5, 0)

Determining the slope between (0, -3) and (4.5, 0)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:-3\right),\:\left(x_2,\:y_2\right)=\left(4.5,\:0\right)[/tex]

[tex]m=\frac{0-\left(-3\right)}{4.5-0}[/tex]

[tex]m\:=\frac{3}{4.5}[/tex]

[tex]m=\frac{3}{\frac{45}{10}}[/tex]

[tex]m=\frac{3\cdot \:10}{45}[/tex]

[tex]m=\frac{2}{3}[/tex]

Therefore, the slope of the line is:

m = 2/3

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the given point

It is clear that at x = 0, the value of y = -3

Thus, the y-intercept b = -3

now substituting b = -3 and m = 2/3 in the slope-intercept form of the line equation

y = mx+b

y = 2/3x + (-3)

y = 2/3x - 3

Therefore, the equation of the line is:

y = 2/3x - 3

The graph is also attached below.

Answer:

A

Step-by-step explanation:

The probability of rolling a 5 for John is 16.666 percent. Because there is 5 other numbers , it is possible but you would have to add all numbers together and then divide it with 100 cause that’s will be how much the percent would be. So you would divide 100 with 6 and then the answer is 16.666 which is also the percentage for John to roll the dice and get a 5.

Answer:

-4

Step-by-step explanation:

plug in 3 for x

2(3)-10

6-10

=-4

Answer:

Im no expert on this But Im pretty sure its A

Step-by-step explanation:

Answer:

x=y and thats it

Step-by-step explanation:

Answer:

x=y

Step-by-step explanation:

Because, if the beams are parallel, <x & <y will be alternate angles which are equal in measure. So, In reverse way, if x=y, then the beams will be parallel.

Answer:

Option (4)

Step-by-step explanation:

If ΔLMN is similar to ΔQRS,

Their corresponding sides will be proportional.

[tex]\frac{LM}{QR}= \frac{MN}{RS}= \frac{LN}{QS}[/tex]

[tex]\frac{5}{6}= \frac{3}{4}= \frac{6}{7}[/tex]

But it's not true.

Therefore, the given triangles ΔLMN and ΔQRS are not similar.

Option (4) will be the answer.

Answer:

+ ∞

Step-by-step explanation:

If you look at the graph you can see that the arrow is pointing upward, indicating that the graph continues in that direction forever. Also, the question is asking, as you move the right (or as x increases) what happens to y. y is increasing infinitely in end behavior.

Answer:

-16¹/₂ feet per second

Step-by-step explanation:

average change in altitude in feet per second = change in altitude in feet/change in time in seconds

= -41¹/₄ ft ÷ 2¹/₂ s

= -165/4 ft ÷ 5/2 s

= -165/4 × 2/5 ft/s

= -33/2 feet per second

= -16¹/₂ feet per second

Answer:

Neptune's atmosphere is composed up of many gases. These gases include Hydrogen (80%), Helium (19%), and Methane (1.5%). Some of the minor gases include trace amounts of Hydrogen Deuteride and Ethane.

Step-by-step explanation:

Answer:

So comp angles are 90 degrees so 90 times 2 would be 180 plus 10 would be 190? Um.... try that ig?

Step-by-step explanation:

Answer:

x^2+y^2 = 9+16 = 25

x^2-y^2 = 9-16 = -7

Step-by-step explanation:

yesss that's rightttttttt

Answer:

3x^2-4x+8 (R -1)

Step-by-step explanation:

We can use synthetic division:

-2 | 3 2 0 15

____-6 8 -16

     3 -4 8 | -1

So basically, you solve x+2=0 (which is x=-2) and then you put it on the left side. Then make a line and put the coefficients of the polynomial you want to divide. Then with the first coefficient it gets dropped. You would then multiply this by -2 (so 3*-2=-6) and then combine it with 2 in the second column (2+-6=-4). Then we do the same thing with the third column (-4*-2=8) and combine (0+8=8). Same with the fourth column (8*-2=-16) but when we combine this time the answer will be our remainder (15+-16=-1).

So how you would read your final answer is 3x^2-4x+8 (R -1) which the numbers you get are the coefficients.

Answer:

the length is 22 and the width is 18

Step-by-step explanation:

The perimeter is 2(l) + w(2)

w is the width and l is the length

if you plug in 22 and 18 you get

2(22)+(2)18

then you do multiplication to get

44+36

then you add and you get 80

Answer:

$80

Step-by-step explanation:

375 - 295 = 80

.25 - .25 = 0

Answer:

This is pretty simple. I don't have a website for it but find a website were you can plug in these equation onto a graph and whatever equation forms a curve is the answer here is an example.

Step-by-step explanation:

Answer/Step-by-step explanation:

Since 320 is 10 times 32. The answer for 320 divided by 4 is going to be 10 times the answer of 32 divided by 4.

320 ÷ 4 = 80

32 ÷ 4 = 8

As 320 is 10 times of 32 then values results also 10 times.

One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things. It is a mathematical operation used for equal distribution and equal grouping.

Given:

We have to divide 32 by 4.

The division is as follow:

= 32/4

= (4 x 8)/ 4

= 8

If we multiply 10 to 32 then we get 320.

Then, if we multiply 10 to 8 we get

= 10 x 8

= 80

Learn more about Division here:

https://brainly.com/question/21416852

#SPJ5

Answer:

46

Step-by-step explanation:

Just by common sense you can see there's difference of 4 in every value so you just add 4, four times in it to make 10 months.

Answer:

50

Step-by-step explanation:

There is a interval of Rs 4 in each ..

Answer:

13

Step-by-step explanation:

Answer:

Y=-5/8x+9

Step-by-step explanation:

Y=mx+b

m= Slope

b= Y-Intercept

Substitute:

Y=-5/8x+9

Answer:

r=10

Step-by-step explanation:

3*4=12, and 10*4=40