8
The first term of an arithmetic sequence is 5. The third term of the sequence is 13.
Which of the following expressions represents the nth term of the sequence?
A 4n +1
B) 4n + 5
5n+1
D) 5n + 5

Answer: f-1(x) = 9x + 18.

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y =  x - 2 ( add 2 to both sides )

y + 2 =  x

Multiply through by 9 to clear the fraction

9y + 18 = x

Change y back into terms of x

(x) = 9x + 18

Answer:

Answer: f-1(x) = 9x + 18.

Step-by-step explanation:

Answer:

-23

Step-by-step explanation:

Answer:

-23

Step-by-step explanation:

Just plug in the values of the variables into the expression. You'll get -4(10)/2 - 3. That equals -20 - 3, or -23.

Answer:

y-1 = 6/5(x-5) Point slope form

y-1=6/5x - 6

y-1 +1=6/5x -6+1

y = 6/5x - 5 Slope intercept form

y -6/5x + 5 = 6/5x-5 -6/5x+5

y-6/5x+5=0 General Form

Answer:

3(9-5)^2 ÷8

3(4)^2÷8

3(16)÷8

3(2)=6

Answer:

6

Step-by-step explanation:

9-5=4

=4

3×4^2 ÷ 8

4^2=16

3×16 ÷8

3×16=48

48÷8=6

Answer:

57 cm²

Step-by-step explanation

l = length

w = width

p = perimeter

(5x - 1) = length

(11 - 2x) = width

44 = perimeter

Formula for the perimeter of a rectangle:

l + l + w + w

2l + 2w = p

Substitute the variables for the length and width with the values given to you by the problem, then solve.

2(5x - 1) + 2(11 - 2x) = 44

(10x - 2) + (22 - 4x) = 44 (Distributive property)

6x + 20 = 44

6x = 24

x = 4

Plug x = 4 back into the length and width.

Length = (5x - 1), (5(4) - 1), (19)

Width =  (11 - 2x), (11 - 2(4)), (3)

Area for a rectangle: Length × Width = Area.

19 × 3 = 57 cm²

This is all in cm so answer with cm²

Answer:

Step-by-step explanation:

Enter the image of each vertex as an ordered pair.

A -> A = (-7,7)

B -> B = (-1,3)

C -> C = (-4,2)

Graph the​ pre-image and image of  ABC. Choose the correct graph below.

Answer is C

Answer:

( 2, -1 )

Step-by-step explanation:

The image of the assumed point Q(2, 3)) under the translation is Q'(-1, 7).

Translation is a type of transformation of geometrical figures. After translation, the original figure is shifted from a place to another place without affecting it's size.

Translation of a point (x, y) indicates that the point is moved x units along the X axis and y units along the Y axis,

Here we have to translate the point Q(2, 3).

Point (x, y) is translated as (x - 3, y + 4).

That is the point (x, y) moves 3 units to the left along the X axis and 4 units upwards along the Y axis.

Q(2, 3) after the translation becomes,

Q'(2 - 3, 3 + 4) = Q'(-1, 7)

Hence the point Q(2, 3) under the translation (x - 3, y + 4) is the point Q'(-1, 7).

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Answer:

[tex]\sqrt{4^{2}[/tex] = 4

Step-by-step explanation:

the square root cancles out the exponet because it's just the same thing. One is a negative impact the other is positive.

Answer:

There are 18 juniors on the track team

Answer:

There are a total of 18 juniors on the track team.

Step-by-step explanation:

Apply the following ratio to the quantity by multiplying.

6:7 = 6 to 7 or 6/7

6/7 × 21 = 126/7 = 18

We use the PEMDAS to reorder the terms of expression when simplifying it.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

We use the PEMDAS to reorder the terms of expression when simplifying it.

The abbreviation PEMDAS is used to indicate the sequence of steps to be taken when resolving expressions with multiple operations. P is for "parentheses," E is for "exponents," M is for "multiplication," D is for division, A is for addition, and S is for subtraction.

Therefore, use PEMDAS to simplify any expression.

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Answer:

[tex]the \: equipment \: price \: is : 2,200.[/tex]

Step-by-step explanation:

[tex]let \: the \: original \: price \: be \: x \\ then \: 17.5\% \: of \: x = 385 \\ \frac{17.5}{100} \times x = 385 \\ 17.5x = 100 \times 385 \\ x = \frac{38500}{17.5} \\ x = 2,200.[/tex]

Answer:

dont you just multiply it should be 2,230

Step-by-step explanation:

Answer:

5x+2

Step-by-step explanation:

6x-x=5x and 5-3=2

so 5x+2 is the answer.

Answer:

YES!!! It really cool, you should create an Instagram account and post you art there!!

Step-by-step explanation:

Answers:

The relation is a function

Domain = {-2, -1, 0, 1, 2}

Range = {-2, 0, 2}

=================================================

Explanation:

The blue points shown are

(-2,-2)

(-1,0)

(0,2)

(1,0)

(2,-2)

Note how the x values do not repeat themselves. Visually this graph passes the vertical line test. It is impossible to draw a single straight vertical line through more than one blue point at a time. It tells us that any x input leads to exactly one y output.

The relation is a function

The domain is the set of x coordinates of the points

Domain = {-2, -1, 0, 1, 2}

The range is the set of y coordinates of each point

Range = {-2, 0, 2}

Toss out any duplicate items that may occur in the range.

Answer:

The relation is a function.

The domains are 2, 1, 0, -1, -2.

The ranges are -2, 0, 2, 0, -2

Answer:

What is the equation?

Step-by-step explanation:

Answer:

Step-by-step explanation: what is the probelm i can help.

Answer:

Im not sure about a but, b= 38

Step-by-step explanation

b: 90 - 52 = 38

*90 because it is a right angle

9514 1404 393

Answer:

Step-by-step explanation:

Point G is the intersection of medians, the centroid. That point divides each median into parts with a 2:1 ratio. The "2" part is the distance between the centroid and the vertex. The "1" part is the distance between the centroid and the side.

  FG : GB : BF = 1 : 2 : 3 = 9 : 18 : 27 . . . . . where 18 is given

  GD : CG : CD = 1 : 2 : 3 = 7 : 14 : 21 . . . . . where 21 is given

Answer:10.2$

Step-by-step explanation:4.25 times 2.40=10.2

Answer:

4.25 * 2.40 = 10.2 pretty simple

Step-by-step explanation:

Answer:

Sugar = 0.8 lb

milk = 0.6 lb

Flour = 2.6 lb

Step-by-step explanation:

Firstly, we add the ratios = 3 + 4 + 13 = 20

For milk, we have 3/20 * 4 = 12/20 = 0.6 lb

For sugar l, we have 4/20 * 4 = 16/20 = 0.8 lb

For flour = 13/20 * 4 = 52/20 = 2.6

You will need:

[tex]Milk = 0.6 $ lb\\Sugar = 0.8 $ lb\\Flour = 2.6 $ lb[/tex]

Given:

Milk : Sugar : Flour = 3 : 4 : 13

To find the number of pounds of each ingredient required to produce 4 lb of baking mix, solve as follows:

Amount of each ingredient needed = ratio of each ingredient / total ratio value x 4 lb

Thus:

Total ratio value = [tex]3 + 4 + 13 = 20[/tex]

Amount of milk needed = [tex]\frac{3}{20} \times 4 = 0.6 $ lb[/tex]

Amount of Sugar needed = [tex]\frac{4}{20} \times 4 = 0.8 $ lb[/tex]

Amount of Flour needed = [tex]\frac{13}{20} \times 4 = 2.6 $ lb[/tex]

Therefore, you will need the follow amounts to make 4 lb of baking mix:

[tex]Milk = 0.6 $ lb\\Sugar = 0.8 $ lb\\Flour = 2.6 $ lb[/tex]

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You didn't add any options but here's one that would work.

315 - 255 = 60

When there is a problem asking how many are left, taken, sold, given, etc. You are usually dealing with subtraction.

Hope that helps and have a great day!

Answer:

The last choice (x+255=315 )

Step-by-step explanation:

This is because we know the total number of tickets is 315 and they have 255 left. So, x + 255 = 315. Because you subtracted __ from 315 to get 255. You can rewrite that as __ + 255 = 315 or  x + 255 = 315

Answer:

Angle D

Step-by-step explanation:

If you flip the triangle upside down, Angle D should be in the same location as Angle A. Congruent triangles will have corresponding congruent angles.

Answer:

all u have to do is add up the denominator and numerators together because just because u see something as an add problem it's still more stuff to add 6+8=14 7+5=12 add up 14+12=26+blank=what

Step-by-step explanation:

hopefully this helped

Answer:

1. a. 110

because 5 less than 35 is 30 and 5 less than 10 is 5. it would only make sense for 5 less than 110 is 105

7. D. 54

every other number in the equation is one less (8,7,6,5)

and inbetween those the number is multiplied by 3 (2×3=6, 6×3=18) so then 18×3 =54

the middle left. D. 27

every other one is multiplied by 2 (2×2=4, 4×2=8, 8×2=16) but the first one is multiplied by 3. (1×3=3 3×3=9 9×3=27 27×3=81)

11. A.11

it adds 6 every other (17+6=23, 23+6=29)

for every other first one it adds 4. (7+4=11, 11+4=15, 15+4=19)

12. D. 18

for every other it adds 2.(4+2=6, 6+2=8)

for every other second it adds 6. (6+6=12, 12+6=18, 18+6=24)

15. D. 49

for every other it subtracts 6 (67-6=61, 61-6=55, 55-6=49)

the every other second it divides in half. (32÷2=16, 16÷2=8, 8÷2=4)

18. D. 17

for every other it adds 2.(13+2=15, 15+2=17, 17+2=19)

for every other second it subtracts 2. (21-2=19, 19-2=17, 17-2=15)

Step-by-step explanation:

im pretty sure these are correct, i hope this helps

Answer:

49

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

since area is length x the width, so in this case it would be 25 x 4 = 100