plz plz help i fell asleep durning the lesson and now i have to take a test

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:

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: the first one

Step-by-step explanation:

Answer:

x=40°

Step-by-step explanation:

3x=120

x=120/3=40°

Answer: Chicken nuggets in zip loc bag?

Step-by-step explanation:

Answer:

I would think it to be the last one?it’s seems the most accurate of them all?

Step-by-step explanation:

Answer:

1. 19 units

2. 22 units

3. 9 units

4. 8 units

5. 11 units

Step-by-step explanation:

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:

-1/2x 2/1 y

Step-by-step explanation:

The real answer to this problem is (-1 1/2) (-2 1/2)

Hope this helps! :D

Answer:

1. 5%

2. 6%

3. $600

Step-by-step explanation:

Answer:

1. 5%  2. 6%  3. $600

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

plug in 3 for x

2(3)-10

6-10

=-4

Answer:

$30

Step-by-step explanation:

6 box = 18

1 box = 3

10 box = 30

The point (5, 13) is a solution to the system

The system of equations is given as:

[tex]y = 4x - 7[/tex]

[tex]2x + y = 23[/tex]

The solution is given as: (5,13)

To determine if the coordinate point is a solution of the system of equations, we have to substitute the x and y values in the equations.

So, we have:

[tex]y = 4x - 7[/tex]

[tex]13 = 4 \times 5 - 7[/tex]

[tex]13 = 13[/tex]

[tex]2x + y = 23[/tex]

[tex]2 \times 5 + 13 = 23[/tex]

[tex]10+ 13 = 23[/tex]

[tex]23 = 23[/tex]

The above equations are true.

Hence, the point (5, 13) is a solution to the system

Read more about system of equations at:

https://brainly.com/question/14323743

Answer:

125

Step-by-step explanation:

125

Answer:

f(x) = 1/3x + 1

Step-by-step explanation:

slope-intercept form is

f(x) = mx + b

so just put the points in and you have:

f(x) = 1/3x + 1

also b stands for the y-intercept so if you look at your point (9,1) than your y-intercept would be 1.

hope I could help!!

Answer:

Exact Form:

51/4

Decimal Form:

12.75

Mixed Number Form:

12 3/4

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:

A

Step-by-step explanation:took it on edge!

Answer:

y = 1/2x + 1

Step-by-step explanation:

slope-intercept form: y = mx + b

If you have a slope of 1/2, m = 1/2

y = 1/2x + b

To find b, plug in the known point.

4 = 1/2(6) + b

Solve.

4 = 3 + b

b = 1

Plug b into your equation.

y = 1/2x + 1

Answer:

Y=-5/8x+9

Step-by-step explanation:

Y=mx+b

m= Slope

b= Y-Intercept

Substitute:

Y=-5/8x+9

Answer:

Step-by-step explanation:

Given system:

Eliminate r to solve for s.

To do so, double the first equation and then subtract the second one:

Subtract

Correct choice is (4) 20

Complete question :

A lake near the Arctic Circle is covered by a 3 meter thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate. After four weeks, she is only 1.6 m thick. Let S(t) denote the ice sheet's thickness S (measured in meters) as a function of time t (measured in weeks). Write the function's formula

Answer:

S(t) = 3 - 0.3t

Step-by-step explanation:

Given that:

Initial thickness = 3m

Assume the rate of decrease is constant

Thickness after 4 weeks = 1.6 m

To obtain a function for the scenario described above :

We can observe that the function is a linear function, given that rate of decrease per week is constant :

To obtain the rate of decrease :

Change after 4 weeks :

(Initial thickness - thickness after 4 weeks) / number of weeks

(3m - 1.6m) / 4

= 1.2m / 4

= 0.3 m per week

General form of a linear function :

y = mx + c

m = rate of change per unit

Hence, our function becomes ;

S(t) = 3 - 0.3t

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:

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:

we cant see it.

Step-by-step explanation:

Answer:

13

Step-by-step explanation: