What is the 100th term of the sequence with a1 = 222 and d = -5

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[tex] - 6x + 9 - 4x = 14[/tex]

[tex] - 6x - 4x + 9 = 14[/tex]

Collect like terms

[tex]( - 6 - 4)x + 9 = 14[/tex]

[tex] - 10x + 9 = 14[/tex]

Subtract sides 9

[tex] - 10x + 9 - 9 = 14 - 9[/tex]

[tex] - 10x = 14 - 4 - 5[/tex]

[tex] - 10x = 10 - 5[/tex]

[tex] - 10x = 5[/tex]

Divide sides by - 10

[tex] \frac{ - 10x}{ - 10} = \frac{5}{ - 10} \\ [/tex]

[tex]x = - \frac{5}{10} \\ [/tex]

[tex]x = - \frac{5}{5 \times 2} \\ [/tex]

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

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Answer:

B

Step-by-step explanation:

The general equation of a straight line can be represented as;

y = mx + b

where m is slope

If two lines are perpendicular, the product of their slopes will be -1

So since the slope of the first line is 1, then the slope of the second line will be -1

Out of all the options, only have its slope as -1 and this y = -x + 6 and this is our answer

Answer: B.

[tex]12x^{2}[/tex] [tex]-8xy + 12x + y^2 - 2y[/tex]

Step-by-step explanation:

i just took the assignment

Answer:

14

Step-by-step explanation:

Answer:

B and B

Step-by-step explanation:

The first one is B because all of the slopes are negative except B. And so I think that's the correct answer

The second one I know is B for sure, I remember learning it in 8th grade 2 years ago.

It's really just the first one I am second guessing myself on but B and B make sense to me :)

Answer:

- [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

Given

- [tex]\frac{1}{5}[/tex] × [tex]\frac{5}{8}[/tex] ( cancel the 5 on numerator/ denominator )

= - 1 × [tex]\frac{1}{8}[/tex]

= - [tex]\frac{1}{8}[/tex]

Answer: 40 million

Step-by-step explanation:

Number of families that had TVs in their home in 1980s = 60 million

Number of families that had TVs in their home in 2015 = 100 million

To calculate the increase in TVs that were there in 2015, we subtract the number of families that had TVs in their home in 1980s which was 60 million from the number of families that had TVs in their home in 2015 which was 100 million. This can be expressed as:

= 100 million - 60 million

= 40 million

Answer:

it would be 1950 and 45 million

Step-by-step explanation:

Answer:

5 bottle caps each second

Step-by-step explanation:

To find the unit rate, just divide the total number by the total time.

150/30

5

So 5 bottle caps per second

Answer:

3456

Step-by-step explanation:

Answer:

It will be 84

Step-by-step explanation:

Step-by-step explanation:

The main difference between Save and Save As is that Save helps to update the lastly preserved file with the latest content while Save As helps to store a new file or to store an existing file to a new location with the same name or a different name.mark me brainlist if i help

Answer:

difference between save and save as is that save helps to update lastly preserved file with least content while save as to store a new file or to store an existing file to a new location with the same name or different name.

Answer:

-8.2,-2 1/2, 0.4,2.4

Step-by-step explanation:

hope that helps

Answer:

(D). 6

Step-by-step explanation:

[tex]\sqrt{x-2}[/tex] + 4 = x and x ≥ 2

Let analyze the answer's choices

(A). Does not satisfy domain

(B). [tex]\sqrt{3-2}[/tex] + 4 ≠ 3

(C). Does not satisfy domain

(D). √(6 - 2) + 4 = 6 ⇒ x = 6 is the answer.

Answer:

133? i just did 400 divided by 3 lol

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

first, make sure that is the entire graph because if not this answer is wrong

20 people total and 3 picked science so 3/20=x/400 so 20x20=400 so 3x20 means the number of students 400 who picked science probably based on this and it is 60

Answer:

13.m<9=110  14.m<4=115    15.m<10=70   16.m<11=70   17.m<8=65    18.m<5=65  19.m<3=65      20.m<14=110

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given:

As per given the proportion is:

A rock that weights 250 pounds on Mars would weigh on Earth:

Answer:

[tex]f(x)=-4(x-2)(x+7)[/tex]

Or, in standard form:

[tex]f(x)=-4x^2-20x+56[/tex]

Step-by-step explanation:

We can use the factored form of a quadratic equation:

[tex]f(x)=a(x-p)(x-q)[/tex]

Where a is the leading coefficient and p and q are the zeros of the quadratic.

We know that the x-intercepts are at (2, 0) and (-7, 0).

So, let's substitute 2 for p and -7 for q. This yields:

[tex]f(x)=a(x-2)(x+7)[/tex]

Now, we need to determine a.

We know that it passes through the point (1, 32). In other words, if we substitute 1 for x, we should get 32 for f(x). Therefore:

[tex]32=a(1-2)(1+7)[/tex]

We can now solve for a. First, compute:

[tex]32=a(-1)(8)[/tex]

Multiply:

[tex]32=-8a[/tex]

Divide both sides by -8:

[tex]a=-4[/tex]

So, the value of a is -4.

Therefore, our entire equation is:

[tex]f(x)=-4(x-2)(x+7)[/tex]

Notes:

We can expand this into standard form:

[tex]f(x)=-4(x-2)(x+7) \\ f(x)=-4(x^2+5x-14) \\ f(x)=-4x^2-20x+56[/tex]

Answer: 9.5

Step-by-step explanation: I got it right in my test :)

Answer:

9.5 ft would be the closest to the length of the ramp in feet.

Step-by-step explanation:

I had the exact same question on my test, I got it correct :)

Answer:

uh is  it 2 and o.6 i think

Step-by-step explanation:

Answer:

sas

Step-by-step explanation:

Answer:

y=85

Step-by-step explanation:

Answer:

3/4*24=p or 0.25*24 *******excluding Lily's grandmother and her.

Step-by-step explanation:

Hope this helps.

Answer:

$10.06

Step-by-step explanation:

Since there are 2 people, multiply the amount they each get by 2.

5.03 times 2=10.06

Final answer  10.06

Hope this helps:)

Answer:

Step-by-step explanation:

Step one:

given data

we are told that the cost of  one ride is $2.25

the entry fee= $6.5

the linear function for the situation is represented by the equation of line

y=mx+c

Step two:

let x be the number of ride

given that x=7

substituting we have

y=2.25(7)+6.5

y=15.75+6.5

y=22.25

In all Lupe we have to pay $22.25

Answer:

a = p * q

b = p * s + q * r

c = r * s

Step-by-step explanation:

In the trinomial ax² + bx + c

a is the coefficient of x²

b is the coefficient of x

c is the numerical term

∵ The trinomial is ax² + bx + c

∵ Its factors are (px + r) and (qx + s)

∴ ax² + bx + c = (px + r)(qx + s)

∵ (px + r)(qx + s) = (px)(qx) + (px)(s) + r(qx) + (r)(s)

∴ (px + r)(qx + s) = pqx² + (psx + qrx) + rs

∴ ax² + bx + c = pqx² + (ps + qr)x + rs

→ By comparing the two sides

∵ ax² = pqx² ⇒ divide both sides by x²

∴ a = pq

∵ bx = (ps + qr)x ⇒ Divide both sides by x

∴ b = ps + qr

∴ c = rs

∴ a = p * q

∴ b = p * s + q * r

∴ c = r * s

Answer:

Apple A

Step-by-step explanation:

Apple A 6.90/6 = 1.15 lb

Apple B 12oz/ (16oz or 1lb) =3/4   .90/(3/4) =1.2lb

Apple C 0.45/(1/4)= 1.8lb

Answer:

The factors are: 1,2,3,6,9,18,27,54.

Hope this helped!

Answer: the answer is D 1, 2, 3, 6, 9, 18, 27, 54. :)

Answer:

72

Step-by-step explanation:

i just know it

If the selling price of an item is ​$480. It is marked down by 10​%, but this sale price is still marked up from the cost of ​$360.Then 72 is the markup from cost to sale price

percentage, a relative value indicating hundredth parts of any quantity.

Given,

The selling price of an item is ​$480

It is marked down by 10​%, but this sale price is still marked up from the cost of ​$360

We need to find 10% of 480

10/100=0.1

0.1×480=48

48 is the 10% of 480

Now subtract 48 from 480

480-48

432

Now subtract 360 from 432

432-360

72

Hence 72 is markup from cost to sale price

To learn more on Percentage click:

https://brainly.com/question/28269290

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Answer:

x=1382400

this should be right

Answer:

1382400

Step-by-step explanation:

Well, we can first find that 5x12 is 60 so if you substitute it, it would be:

45x512 = ___ / 60

We can also substitute ___ as x:

45x512 = x/60

45x512 is 23040 so, 23040 = x/60.

Bring sixty to the other side and multiply

x= 23040 x 60 = 1382400