Write the first four terms in the following sequences. A(n+1)=A(n)−5 for n≥1 and A(1)=9 .

Answer:

80 x 62.5% is 50.

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Just took test

Answer:30

Step-by-step explanation: Let s represent the number of students in the class. Evan earned 80% of these votes, which came to 24 votes. 0.80=24votes so total number of votes is 30.

0.8

Answer:

The answer is 5 students taking English and Math but not History

Step-by-step explanation:

The total students are 28 which are divided into 5 possible groups with no students taking either English only or History only:

The number of students in group 3 is 6. Hence, the total number in group 1, 2, 4 and 5 is: 28 - 6 = 22

Also, the number of students in group 4 is five times the number in group 5, therefore: group 2 + group 5 = 6 times group 5

Additionally, the number of students in group 1 equals that in group 2.

Hence, the equation is: 6 x group 5 + 2 x group 2 = 22 => group 2 = 11 - 3 x group 5 => group 2 = 5 because group 5 is an even number and non-zero, it must be 2.

Answer:

No equal

Step-by-step explanation:

If you multiply through you get

4x+8+3x+7 which equals

7x+15 which is not equal to 7x+14

Answer:

Step-by-step explanation:

Let's solve:

[tex]4(x + 2) + 3x + 7[/tex]

Distribute 4 through the parentheses

[tex] = 4x + 8 + 3x + 7[/tex]

Collect like terms

[tex] = 7x + 8 + 7[/tex]

Add the numbers

[tex] = 7x + 15[/tex]

Hope this helps..

best regards!

Answer:

-8q +18

Step-by-step explanation:

-3 ( 2q -6) -2q

Distribute

-6q+18-2q

Combine like terms

-8q +18

Answer:

[tex]\sum_{n=4}^{18}(n+1)^2=2440[/tex]

Step-by-step explanation:

Series: [tex]\sum_{n=4}^{18} (n+1)^2[/tex]

Formula :[tex]\sum_{k=m}^n=\sum_{k=1}^n-\sum_{k=1}^{m-1}[/tex]

[tex]\Rightarrow \sum_{n=4}^{18}(n+1)^2=\sum_{n=1}^{18}(n+1)^2-\sum_{n=1}^{3}(n+1)^2[/tex]

[tex]\sum_{n=1}^{18}(n+1)^2=2469[/tex]

[tex]\sum_{n=1}^{3}(n+1)^2=29[/tex]

[tex]\Rightarrow \sum_{n=4}^{18}(n+1)^2=2469-29[/tex]

[tex]\Rightarrow \sum_{n=4}^{18}(n+1)^2=2440[/tex]

So, Option C is true

The exterior of angle XWY is 74 degrees, so the angle XWY itself is 180-74 = 106 degrees. The two angles form a 180 degree straight line or angle.

Answer:

the answer is 74

Step-by-step explanation:

i did the cumulative test

Answer:

808$

Step-by-step explanation:

This isn't very clear, when does he stop saving?

I'm going to assume that he stops at the end of the year at which case that would just be 15 multiplied by 52 plus 28

Answer:

  (8, 11)

Step-by-step explanation:

The 2-point form of the equation of a line is useful for the one where only points are given.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (3 -1)/(4 -3)(x -3) +1

  y = 2(x -3) +1

We can equate this to the expression for y in the given equation.

  x +3 = 2(x -3) +1

  x +3 = 2x -5 . . . . . . eliminate parentheses

  8 = x . . . . . . . . . . . . add 5-x

Using the given equation, we can find y:

  y = x +3 = 8 +3

  y = 11

The solution to the system is (x, y) = (8, 11).

Answer:

8,11

Step-by-step explanation:

Answer:

10 cm

Step-by-step explanation:

The perimeter of a equilateral triangle is

P = 3s where s is the side length

30 = 3s

Divide each side by 3

30/3 = 3s/3

10 = s

Answer:

1021

Step-by-step explanation:

1018×103=1018+3=1021

Answer:

y-3=-2(x+0)

Step-by-step explanation:

Answer:  see below

Step-by-step explanation:

Use the slope (m) formula: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Let (x₂, y₂) = (2, -1) and (x₁, y₁) = (0, 3)

[tex]m=\dfrac{-1-3}{2-0}=\dfrac{-4}{2}=-2[/tex]

Use the Point-Slope form y - y₁ = m(x - x₁) where m = -2 & (x₁, y₁) = (0, 3):

y - 3 = -2(x - 0)      -->    y - 3 = -2x

Use the Point-Slope form y - y₁ = m(x - x₁) where m = -2 & (x₁, y₁) = (2, -1):

y - (-1) = -2(x - 2)      -->    y + 1 = -2(x - 2)

Step-by-step explanation:

Hope it helps...

Answer:

The picture should be easier to look at :)

Step-by-step explanation:

Just got it right on edge 2020

Answer:

Step-by-step explanation:

(4, -3)

Answer:

(4,-3)

Step-by-step explanation:

The first coordinate of the ordered pair is the x value or go across

to the right is positive  and the left is negative   so x = 4

The second coordinate of the ordered pair is the y value or go up and down

up is positive and down is negative  so y = -3

(4,-3)

Step-by-step explanation:

the inverse of the inverse of a function is the function itself

It's like going and coming back

Answer:

9

Step-by-step explanation:

The inverse of the inverse is the input

f^-1 (f^-1(9))  = 9

As a proof

f(x) = 4x+5

y = 4x+5

Exchange x and y

x = 4y+5

Solve for y

(x+5) = 4y

(x+5)/4 = y

f^-1 (x) =  ( x-5)/4

Then find the inverse of this function

y = ( x-5) /4

Exchange x and y

x = (y-5)/4

4x = y-5

4x+5 = y

Which gives us the original function back

f^-1( input) = 4x+5

Using the value given

f^-1 (9) =  ( 9-5)/4=4/4 =1

Using the 1 from the previous part as the input

f^-1( 1) = 4*1+5  = 4+5 = 9

Answer:

Step-by-step explanation

The arithmetic mean of the numbers 6, 4, 1, 9, 3, 8, 3, 5, 10 is 5.4

The arithmetic mean is the quantity obtained by summing two or more numbers or variables and then dividing by the number of numbers or variables.

According to the given question we have

A data set  6, 4, 1, 9, 3, 8, 3, 5, 10

The total numbers in the given data set is 9

Therefore, the arithmetic mean of the given data set is given by

Arithmetic mean = [tex]\frac{6 +4+1+9+3+8+3+5+10}{9}[/tex]

⇒ Arithmetic mean = [tex]\frac{49}{9}[/tex]

⇒ Arithmetic mean = 5.4

Hence, the arithmetic mean of the numbers 6, 4, 1, 9, 3, 8, 3, 5, 10 is 5.4

Learn more about arithmetic mean here:

https://brainly.com/question/13000783

#SPJ2

Answer:

Answer:

x=11.6

Step-by-step explanation:

Answer:

[tex]\boxed{(-1,4)}[/tex]

Step-by-step explanation:

The point is located in Quadrant II of the graph, where x-values are negative and y-values are positive.

Each marking on the graph represents one unit of distance. The two axes meet at the origin, where the coordinate point is equal to [tex](0,0)[/tex].

So, you can count backwards once from the origin to get your x-value ⇒ [tex]-1[/tex] and count up upwards four times from [tex]x=-1[/tex] to get your y-value ⇒ [tex]4[/tex].

Finally, place these in a coordinate point [tex](x,y)[/tex] ⇒ [tex]\boxed{(-1,4)}[/tex].

Answer:

(-1, 4)

Step-by-step explanation:

The point lies on the line x = -1.

The point lies on the line y = 4.

Where both lines intersect, that is the coordinate.

(x, y)

(-1, 4)

Answer:

Inconsistent; No Solution

Step-by-step explanation:

I used a graphing tool to graph the equations. When graphed, the lines are parallel.  The lines have the same slope but a different y-intercept. This means that there is no solution.

The system is inconsistent, and therefore has no solution.

Answer:

x = 0.36

Step-by-step explanation:

6x^2 +5x - 4 = 0

6x+5x-4 = 0÷2

11x = 0+4

x = 4÷11

Therefore, x = 0.36

Answer:

3.4

Step-by-step explanation:

70cm +1.5m+1.20m

Since 70 is in cenimeters you have to convert it to meters

70cm=0.7m

So then you add them all up

0.7+1.5= 2.2

2.2+1.2= 3.4

So the answer is 3.4

Hope this helped!

Answer:

8x - 12

Step-by-step explanation:

4(2x - 3)  (use distributive property, see attached)

= (2x)(4) - 3(4)

= 8x - 12

Answer:

[tex]y - 9 = \frac{1}{2}(x +3)[/tex]

Step-by-step explanation:

Given

Function; [tex]y = -2x + 8[/tex]

Required

Find an equation perpendicular to the given function if it passes through (-3,9)

First, we need to determine the slope of:  [tex]y = -2x + 8[/tex]

The slope intercept of an equation is in form;

[tex]y = mx + b[/tex]

Where m represent the slope

Comparing  [tex]y = m_1x + b[/tex] to [tex]y = -2x + 8[/tex];

We'll have that

[tex]m_1 = -2[/tex]

Going from there; we need to calculate the slope of the parallel line

The condition for parallel line is;

[tex]m_1 * m_2 = -1[/tex]

Substitute [tex]m_1 = -2[/tex]

[tex](-2) * m_2 = -1[/tex]

Divide both sides by -2

[tex]m_2 =\frac{ -1}{-2}[/tex]

[tex]m_2 =\frac{1}{2}[/tex]

The point slope form of a line is;

[tex]y - y_1 = m_2(x - x_1)[/tex]

Where [tex](x_1,y_1) = (-3,9)[/tex] and [tex]m_2 =\frac{1}{2}[/tex]

[tex]y - y_1 = m_2(x - x_1)[/tex]becomes

[tex]y - 9 = \frac{1}{2}(x - (-3))[/tex]

Open the inner bracket

[tex]y - 9 = \frac{1}{2}(x +3)[/tex]

Hence, the point slope form of the perpendicular line is:

[tex]y - 9 = \frac{1}{2}(x +3)[/tex]

Answer:

1). x = 10 m

2). x = 15 cm

3). x = 5 yd

4). AB = 10 units

Step-by-step explanation:

1). By Pythagoras theorem in the given triangle,

 a² + b² = c²

 Where 'c' = Hypotenuse

 a and b = Legs of the right triangle

 By substituting measures of the sides in the formula,

 x² = 8² + 6²

 x = [tex]\sqrt{100}[/tex]

 x = 10 m

2). By using Pythagoras theorem in this triangle,

  x² = 9² + (12)²

  x² = 81 + 144

  x = [tex]\sqrt{225}[/tex]

  x = 15 cm

3). By Pythagoras theorem,

  (13)² = x² + (12)²  

  169 = x² + 144

  169 - 144 = x²

  25 = x²

  x = 5 yd

4). If BD is a perpendicular bisector of AC,

  AD = CD = 6 cm

  By Pythagoras theorem in ΔABD,

  AB² = BD² + AD²

  AB² = 8² + 6²

  AB = [tex]\sqrt{100}[/tex]

  AB = 10 units

[tex]y=|\dfrac{1}{2}x-2|+3[/tex]

Since we are translating this graph one unit to the right, replace x with (x-1)

Note: If you are translating a graph to the left by k units, replace x with (x+k), and if by the right, replace x with (x-k)

[tex]y=|\dfrac{1}{2}(x-1)-2|+3[/tex]

After simplifying, we now have the following equation:

[tex]=|\dfrac{1}{2}x-\dfrac{5}{2}|+3[/tex]

This is the new equation. Let me know if you need any clarifications, thanks!

Answer:

we are given

y=|2x|-1

we are given to translate this equation

Whenever we translate any function to right side by 'c' units

we can replace x as x-c

Here , we have to translate one unit right

so, we can replace x as x-1

and we get

y=| 2( x-1 ) | 1

Hope this helps <3

Answer:

15 units

Step-by-step explanation:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(9 - (-6))² + (8 - 8)²]

d = √[(15²) + (0²)]

d = √15²

d = 15

Answer:

15 units

Step-by-step explanation:

9-(-6) = 15

I hope this helped! Good luck with the rest of your class :)

Answer:

here the answer is down below

Step-by-step explanation:

Answer:

A (x+2)(x^2-2x+4)

Step-by-step explanation:

just took test

Answer:

the one on the upper left with the triangular form

Step-by-step explanation:

all the others only represent one of the possibilities