I don’t understand this please help

Answer:

a) the common difference is 20

b) [tex]x_8=115 , x_{12}=195[/tex]

c) the common difference is -13

d) [tex]a_{12}=52, a_{15}=13[/tex]

Step-by-step explanation:

a) what is the common difference of the sequence xn

Looking at the table, we get x_3=16, x_4=36 and x_5= 56

Deterring the common difference by subtracting x_4 from x_3 we get

36-16 =20

So, the common difference is 20

b) what is x_8? what is x_12

The formula used is: [tex]x_n=x_1+(n-1)d[/tex]

We know common difference d= 20, we need to find [tex]x_1[/tex]

Using [tex]x_3=16[/tex] we can find [tex]x_1[/tex]

[tex]x_n=x_1+(n-1)d\\x_3=x_1+(3-1)d\\15=x_1+2(20)\\15=x_1+40\\x_1=15-40\\x_1=-25[/tex]

So, We have [tex]x_1 = -25[/tex]

Now finding [tex]x_8[/tex]

[tex]x_n=x_1+(n-1)d\\x_8=x_1+(8-1)d\\x_8=-25+7(20)\\x_8=-25+140\\x_8=115[/tex]

So, [tex]\mathbf{x_8=115}[/tex]

Now finding [tex]x_{12}[/tex]

[tex]x_n=x_1+(n-1)d\\x_{12}=x_1+(12-1)d\\x_{12}=-25+11(20)\\x_{12}=-25+220\\x_{12}=195[/tex]

So, [tex]\mathbf{x_{12}=195}[/tex]

c) what is the common difference of the sequence [tex]a_m[/tex]

Looking at the table, we get a_7=104, a_8=91 and a_9= 78

Deterring the common difference by subtracting a_7 from a_8 we get

91-104 =-13

So, the common difference is -13

d) what is a_12? what is a_15?

The formula used is: [tex]a_n=a_1+(n-1)d[/tex]

We know common difference d= -13, we need to find [tex]a_1[/tex]

Using [tex]a_7=104[/tex] we can find [tex]x_1[/tex]

[tex]a_n=a_1+(n-1)d\\a_7=a_1+(7-1)d\\104=a_1+7(-13)\\104=a_1-91\\a_1=104+91\\a_1=195[/tex]

So, We have [tex]a_1 = 195[/tex]

Now finding [tex]a_{12}[/tex] , put n=12

[tex]a_n=a_1+(n-1)d\\a_{12}=a_1+(12-1)d\\a_{12}=195+11(-13)\\a_{12}=195-143\\a_{12}=52[/tex]

So, [tex]\mathbf{a_{12}=52}[/tex]

Now finding [tex]a_{15}[/tex] , put n=15

[tex]a_n=a_1+(n-1)d\\a_{15}=a_1+(15-1)d\\a_{15}=195+14(-13)\\a_{15}=195-182\\a_{15}=13[/tex]

So, [tex]\mathbf{a_{15}=13}[/tex]

Answer:

oak island treasure is deeper in the ground

Answer:

+2

Step-by-step explanation:

Answer: 22.9890 is the answer

Answer:

23.0 will be your answer.

Step-by-step explanation:

When you round to the nearest tenth, you go one decimal place past the decimal. This is the number that will be rounded up or stays the same.

Then we go to 1 decimal place past that one. This number determines if the number will round up or stay. If the number is 5 and greater, then it will make the number before round-up. If the number is 4 or less, then the number will stay the same.

In this case, the 8 will make the 9 round up, resulting in the 9 become a "10", and that one gets added to the 2, or the next digit to the left.

#teamtrees #WAP (Water And Plant)

Answer:

he needs to work 3 more days in order to make 250 dollars for his vacation

Step-by-step explanation:

Answer:

I'm terrible at explaining so here's a screenshot

- Ripper

Step-by-step explanation:

The number of the quarters coins are 14. Then the correct option is C.

The solution of the equation means the value of the unknown or variable.

Kat has 19 coins, all quarters and dimes, that are worth a total of $4.

The system of equations that can be used to find the number of quarters, q, and the number of dimes, d, she has is shown.

           q + d = 19

                 d = 19 – q ...1

0.25q + 0.1d = 4        ...2

Solve the equation, we have

0.25q + 0.1(19 – q) = 4

0.25q – 0.1q + 1.9 = 4

                     0.15q = 2.1

                           q = 14

Then the correct option is C.

More about the solution of the equation link is given below.

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Answer:

We assign the older value to variable A and the newer value to variable B. Units, in this case the dollars, are always stripped or canceled out in percent change problems since we’re looking for increases or decreases in percentage.

Step-by-step explanation:

Answer:

(3, 2)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

2x + 5y = 16

3x - 5y = -1

Step 2: Solve for x

Step 3: Solve for y

Answer:

(3, 2)

Step-by-step explanation:

2x + 5y = 16 ........ (1)

3x - 5y = - 1 ......... (2)

(1) + (2)

( 2x + 3x ) + [ 5y + ( - 5y)] = 16 + (- 1)

5x = 15 ⇒ x = 3

2(3) + 5y = 16 ⇒ y = 2

(3, 2)

Answer:

1

Step-by-step explanation:

because every cup has to be equal and if is not then every cup will be less then a cup eather way it will be the same

Answer:

The equation of required line is: [tex]\mathbf{x+y=5}[/tex]

Step-by-step explanation:

We need to find an equation of the line that passes through the point (2,3) and is parallel to the line x+y=4

For finding an equation of line, we need to find slope and y-intercept of the line.

Finding slope:

If the lines are parallel their slope is same

We are given: x+y=4

Writing in slope-intercept form: [tex]y=mx+b[/tex] where m is slope and b is y-intercept

[tex]x+y=4\\y=-x+4[/tex]

Comparing [tex]y=-x+4[/tex] with [tex]y=mx+b[/tex] the slope m is -1

So, slope of given line is -1

It is parallel with required line, so they have same slope.

The slope of required line is m=-1

Finding y-intercept

Using slope m=-1 and point(2,3) we can find y-intercept

Using slope-intercept form: [tex]y=mx+b[/tex]

[tex]y=mx+b\\3=-1(2)+b\\3=-2+b\\b=3+2\\b=5[/tex]

So, y-intercept is: b=5

The equation of required line having slope m=-1 and y-intercept b = 5 is

[tex]y=mx+b\\y=-1x+5\\y=-x+5\\x+y=5[/tex]

So, equation of required line is: [tex]\mathbf{x+y=5}[/tex]

The equation of the line that passes through the point (2,3) and is parallel to the line x+y=4 is y  =  -x  +  5

Two equations are parallel if they have equal slope

For the equation x + y = 4

Rewrite the equation in the form y = mx + c

y  =  -x  +  4

Compare y = -x + 4 with y = mx + c

The slope, m = -1

The equation parallel to x + y = 4 will also have a slope, m = -1

The line passes through the point (2, 3)

That is, x₁ = 2, y₁ = 3

The point-slope form of the equation of a line is:

y - y₁  =  m(x  -  x₁)

Substitute x₁ = 2, y₁ = 3 into y - y₁  =  m(x  -  x₁)

y - 3 = -1(x  - 2)

y - 3 = -x + 2

y  =  -x  +  2  +  3

y  =  -x  +  5

The equation of the line that passes through the point (2,3) and is parallel to the line x+y=4 is y  =  -x  +  5

Learn more here: https://brainly.com/question/19484034

Answer:

slope is 1/3

Step-by-step explanation:

rise over run

Answer:

Length of AB is [tex]\sqrt{106}[/tex]

Step-by-step explanation:

Let us use the rule of the distance To find the length of AB

∵ A = (9, -3)

∵ B = (0, 2)

∴ x1 = 9 and y1 = -3

∴ x2 = 0 and y2 = 2

∵ AB = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]

→ Substitute the values of x1, x2, y1, and y2 in the rule to find AB

∴ AB = [tex]\sqrt{(0-9)^{2}+(2--3)^{2}}[/tex]

∴ AB = [tex]\sqrt{(-9)^{2}+(2+3)^{2}}[/tex]

∴ AB = [tex]\sqrt{81+(5)^{2}}[/tex]

∴ AB = [tex]\sqrt{81+25}[/tex]

∴ AB = [tex]\sqrt{106}[/tex]

→ The square root of 106 is the simplest radical form

∴ Length of AB is  [tex]\sqrt{106}[/tex]

Answer:6x-5+2x+5+3x+22 and u get your answer

Step-by-step explanation:

Answer:

4x9/2

4x9/2

36/2

18

UwU

18 is your answer

Answer:

d = 100 - 25t

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

4 2/3

Step-by-step explanation:

Answer:

w = -1.3 (.3 repeating)

Step-by-step explanation:

3/2w = -20

3/2w time 2/3 (flip to get rid of fraction)

- 20 time 2/3 (what you do to one side, you must do to the other side)

w = 1.3 (.3 repeating)

1.3 as a fraction is 4/3

Answer:

y=[tex]-\frac{1}{3}[/tex]+2

Step-by-step explanation:   m=slope, b= y-intercept

y=mx+b             how to find the slope=  [tex]\frac{3-0}{1-2}[/tex]

y=m(x)+b

1=m(3)+b

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

The radius of the circle and tangent of the circle are perpendicular to each other. Then the correct option is B.

It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.

Point P is a point on a circle with a center point O. Point P is also a point that lies on line  PQ, which is tangent to circle O.

Then the relationship between radius OP and tangent PQ will be

We know that the radius of the circle and tangent of the circle are perpendicular to each other.

More about the circle link is given below.

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Answer: 8

Step-by-step explanation: 36/4.50

Answer:

8tickets

Step-by-step explanation:

she has $36

1rickeet costs $4.50

hence,

$36/$4.50

=$8.0

=8tickets.

hope was helpful!

Answer:

the answer is -10

Step-by-step explanation:

the steps are in the picture

Answer:

The answer to this expression would be negative.

Step-by-step explanation:

-10

Answer:

x = 3 ± 3i√2

General Formulas and Concepts:

Pre-Algebra

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define equation

(x - 3)² + 8 = -10

Step 2: Solve for x

Answer:

k = 3   or k = -3

Step-by-step explanation:

|4k|=12

There is a positive and a negative solution

4k =12 or 4k = -12

k = 3   or k = -3

Answer:

±3

Step-by-step explanation:

4k=12

-4k=12

k = 3

k = -3

k = ±3

Answer:

Step-by-step explanation:

the slope is 1/1

Answer:

Fraction Decimal Percent

2/3 0.666… 66.666…%

1/4 0.25 25%

3/4 0.75 75%

1/5 0.2 20%

Answer:

1). 250 - 60t

2). 60t

Step-by-step explanation:

"Camila started her collection with 250 cards and decreased by 60 cards each year"

Starting number of cards with Camila = 250

Decrease in number of cards each year = 60

Decrease in number of cards after 't' years = 60t

Number of cards after 't' years = 250 - 60t

"Camila didn't have any card when she started her collection, but her collection grew by 60 cards each year."

Number of cards with Camila = 0

Number of cards grew each year = 60

Number of cards after 't' years = 60t + 0 = 60t