Find the common difference of the arithmetic sequence –8, -2, 4, ...

Answers

Answer 1

Answer:

              d = 6

Step-by-step explanation:

[tex]a_1=-8\\a_2=-2\\a_3=4\\\\d=a_2-a_1=a_3-a_2=...=a_n-a_{n-1}\qquad\qquad \{n\ge2\}\\\\\left{\big{a_2-a_1=-2-(-8)=-2+8=6}\atop\big{a_3-a_2=4-(-2)=4+2=6\quad\ \,}\right\}\implies\ \ d=6[/tex]


Related Questions

The relationship between the number of hours a plumber works and the total work fee
she charges is proportional. Her fee for 5 hours of work is $350.
Which of the following could be combinations of values for the plumber's work hours
and total work fee she charges?
Hours 3 - $270
Hours 3.5 - $245
Hours 6 - $440
Hours 7.25 - $530,50

Answers

Answer:

ANSWERS ARE B, C, AND D.

Step-by-step explanation:

I found the unit rate of 350 and 5, because we can use a calculator (as stated on top) I just punched in 350 divided by 5 and got 70. Now i know this may not sound that "professional", but nothing needs to always be professional as long as its efficient and most importantly gets you the right answer. I then took the time to multiply each number, (the ones on the left : 3, 3.5, 6, 7.25, and 8) by 70. If the answer you got on the calculator match up to the number on the right, (240, 420, 507.50, and 490) its correct, if it doesn't match up, you can tell that its most likely not the answer. You should end up with three answers that all end up having the unit rate of 70. Hope this helps anyone who needed it.

ANSWERS ARE B, C, AND D.

Answer:

The answer is B,C, And D

Step-by-step explanation:

I just saw it on Khan and got it right.

After taking the interest formula (I=Prt) and solving the equation for t, how many years will it take to earn $80 in interest (I) if I initially invest $500 (P) and my interest rate (r) is 4%? (Don't forget to change your percentage to a decimal!)
t=

Answers

Answer:

hehehe

Step-by-step explanation:

hehehe

Please Help And Hurry!! (WORTH 20 POINTS)







Solve
5h – 15 + 7h = 40

(Sorry if this is easy I'm bad at math)

Answers

Step-by-step explanation:

h= 55/12 if thats what u askin for

Given equation:

5h – 15 + 7h = 40

To find?

value of h

Explanation:

[tex]:\implies \bold{5h – 15 + 7h = 40}[/tex]

[tex] :\implies \bold{5h + 7h = 40 + 15}[/tex]

[tex] :\implies \bold{12h= 55}[/tex]

[tex]:\implies \bold{h = \dfrac{55}{12} }[/tex]

[tex]:\implies\underline{\boxed{ \bold{h = 4.583}}}[/tex]

Verification:

[tex]:\implies \bold{5h – 15 + 7h = 40}[/tex]

[tex]:\implies \bold{(5 \times 4.583) – 15 +( 7 \times 4.583)= 40}[/tex]

[tex]:\implies \bold{ 30– 15 + 32= 40}[/tex]

[tex]:\implies \bold{ 30– 15 + 32= 40}[/tex]

[tex]:\implies\underline{\boxed{ \bold{ 40= 40}}}[/tex]

I will give Brainlyest to the person who is first




After the temperature rose 9', the thermometer read 37°F
What is an equation that can be used to find x, the temperature before the gº increase
Drag the number, symbol, or operation sign to each box to complete the equation or symbol to

Answers

Answer:

37-9=28

Step-by-step explanation:

it was 28 F then rose 9 which is 37 so 37-9 =28

The  equation is  37 - 9= x.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

After the temperature rose 9°F, the thermometer read 37°F.

let  x be the temperature before the 9º increase.

So, 37 - 9= x

x= 28°F.

Hence, the equation is  37 - 9= x.

Learn more about equation here:

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Melinda and Paula shovel driveways and sidewalks in the winter as a way to earn extra money. Together they shoveled 450 square feet of sidewalk in 30 minutes. Then Melinda shoveled for 20 minutes while Paula shoveled for 25 minutes to complete 345 square feet of driveway. 30x + 30y = 450 20x + 25y = 345 How much more can Paula shovel in 1 minute than Melinda? 3 square feet per minute 6 square feet per minute 9 square feet per minute 15 square feet per minute

Answers

Answer: A: 3 square feet per minute

Step-by-step explanation:

The square feet more that Paula can shovel in 1 minute more than Melinda is 3 square feet per minute.

System of equations

30x + + 30y = 450 equation 1

20x + 25y = 345 equation 2

Where:

x = square feet shovelled by Melinda

y = square feet shovelled by Paula

What is the square feet shovelled by Paula?

The first step is to multiply equation 1 by 20 and equation 2 by 30

600x + 600y = 9000 equation 3

600x + 750 y = 10,350 equation 4

Subtract equation 3 from equation 4

150y = 1350

Divide both sides by 150

y = 9 square meters

What is the square feet shovelled by Melinda?

Substitute for y in equation 1

30x + 30(9) = 450

30x + 270 = 450

30x = 450 - 270

30x = 180

x = 6 square meters

How much more can Paula shovel in 1 minute than Melinda?

9 - 6 = 3 square meters

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

Mr. K cooked down 2 pumpkins yesterday. He did this to make pumpkin pies for Thanksgiving. He was able get 30.5 cups of pumpkin. If Mr. K needs 1 ¾ Cups of pumpkin to make 1 pie, how many pies can he make with the pumpkin he cooked down last night? double work pleaseeee helpp meeee

Answers

He can make 17 pies and here are the steps :)

Lickety Sweet's Candy Store sells candy by the ounce. Maura paid $3.48 for a 12-ounce bag of hard watermelon candies and $1.28 for an 8-ounce bag of chewy chocolate candies. How much more do the watermelon candies cost per ounce than the chocolate candies?

Answers

Answer:

The Watermelon candies cost 13 more cents then the chocolate.

Step-by-step explanation:

$3.48 divided by 12 is 29 cents

$1.28 divided by 8 is 16 cents

Subtract 16 from 29 and get 13

If Lickety Sweet's Candy Store sells candy by the ounce. Maura paid $3.48 for a 12-ounce bag of hard watermelon candies and $1.28 for an 8-ounce bag of chewy chocolate candies, then she paid 13 more cents for watermelon candies cost per ounce than the chocolate candies

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given,

Lickety Sweet's Candy Store sells candy by the ounce.

For 12-ounce bag of hard watermelon candies Maura paid $3.48

For 8-ounce bag of chewy chocolate candies Maura paid $1.28

Let us find cost of each watermelon candie

$3.48 divided by 12

3.48/12=29 cents

$1.28 divided by 8

1.28/8=16 cents

Subtract 16 from 29 and get 13

29-16=13

Hence 13 cents more do the watermelon candies cost per ounce than the chocolate candies

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please help! the approximate path of a projectile launched from 100 m above the ground is given by f(×)= -5×^2+40+100, where f(×) represents the height × seconds after it is released into the air. use the info to answer the questions below. 1. what is the factored form of the equation? 2 how long will it take the projectile to reach the ground?​

Answers

Answer:

Part 1) [tex]f(x)=-5(x-10)(x+2)[/tex]

Part 2) After 10 seconds.

Step-by-step explanation:

We have the function:

[tex]f(x)=-5x^2+40x+100[/tex]

Where f(x) represents the height x seconds after it is released into the air.

Part 1)

First, let's distribute a -5 out of the function:

[tex]f(x)=-5(x^2-8x-20)[/tex]

Now, let's factor. We want to pick two number that multiplies to -20 and adds to -8.

We can use -10 and 2. So:

[tex]f(x)=-5(x^2+2x-10x-20)[/tex]

Factor:

[tex]\begin{aligned}f(x)&=-5(x^2+2x-10x-20) \\ f(x)&=-5(x(x+2)-10(x+2)) \\ f(x)&=-5(x-10)(x+2) \end{aligned}[/tex]

Hence, our factored form is:

[tex]f(x)=-5(x-10)(x+2)[/tex]

Part 2)

We want to find after how many seconds does it take for the projectile to reach the ground.

If it reaches the ground, the height above the ground, f(x), will be 0.

So, we can set f(x) equal to 0 and solve for x. Instead of using the original equation, we can use the factored form. So:

[tex]0=-5(x-10)(x+2)[/tex]

Zero Product Property:

[tex]x-10=0\text{ or } x+2=0[/tex]

Solve for x:

[tex]x=10 \text{ or } x=-2[/tex]

Since x measures time, -2 does not make sense in this context.

Therefore, our solution is x=10.

So, after 10 seconds, the projectile will hit the ground.

Which equation is parallel to CD which passes through through points C (-3,4) and D (7,-2)?

Answers

Answer:

y = - [tex]\frac{3}{5}[/tex] x + 1

Step-by-step explanation:

Parallel lines have equal slopes

Calculate m of CD using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = C(- 3, 4) and (x₂, y₂ ) = D(7, - 2)

m = [tex]\frac{-2-4}{7+3}[/tex] = [tex]\frac{-6}{10}[/tex] = - [tex]\frac{3}{5}[/tex] , thus

y = - [tex]\frac{3}{5}[/tex] x + 1 ← is parallel to CD

Elijah's puppy weighs 35 ounces if he weighed 19 ounces at the last visit to the veterinarian's office what is the percent increase in the puppy's weight rounded to the nearest whole number

Answers

Answer:54.29%

Step-by-step explanation:

What is the inverse of the function f(x) = 2x + 1?

Answers

Answer:

y = x/2 -1/2

Step-by-step explanation:

let’s write this equation as

y = 2x + 1

to find the inverse let’s switch x and y

x = 2y + 1

and solve for y

x -1 = 2y

y = x/2 -1/2

so the inverse is

y = x/2 -1/2

PLease help me find the unit rate for $140 for 18 ft

Answers

Answer:

Step-by-step explanation:

So,

$140 Dollars per 18 feet

Divide by 18 on both sides

140/18=18/18

140/18 is equal to 7 and 2/9

The answer is 7.77777778

PLEASE HELP ITS A TESTTT... To train for a marathon, Olivia runs 2 miles per day for the first week and then increases the daily distance by a quarter mile each of the following weeks. Write and equation to represent the NTH term of the sequence.​

Answers

Answer: 14

Step-by-step explanation:

solve (2x-10)=(65-x)

Answers

Answer:

The answer is x = 25.

X=25 is the answer !!!!!!!!!!!!

A restaurant bought 36.5 pounds of beef from a store. The next​ month, the restaurant bought 71.3 pounds of beef and 21.5 pounds of chicken. How many pounds of meat did the restaurant​ buy

Answers

Answer:

129.3 pounds

Step-by-step explanation:

A restaurant bought 36.5 pound of meat from a store

The following month they also bought 71.3 pounds of meat and 21.5 pounds of chicken

Therefore the total pounds of meat bought by the restaurant can be calculated as follows

= 36.5 + 71.3 + 21.5

= 129.3 pounds

F (x) = 3x^2 vertex __________ axis __________ x-int __________ y-int __________ max/min _________ value __________ domain __________ range _________

Answers

Answer:

F(x) = 3·x² vertex (0, 0) axis x = 0 x-int (0, 0) y-int (0, 0) min minimum  value (0, 0) domain (x ∈ R) range (f(x) ∈ R+)

Step-by-step explanation:

The given function is f(x) = 3·x²

The given parabola in vertex form y = a(x - h)² + k

Where;

(h, k) = The vertex

By comparison, we have;

h = 0

k - 0

Therefore;

1) The vertex = (0, 0)

2) The axis of symmetry = The line x = 0

3) The x-intercept = The vertex = (0, 0)

4) The y-intercept = The vertex = (0, 0)

5) The minimum value = The vertex = (0, 0)

6) The domain = All real numbers (x ∈ R)

7) The range = All positive real numbers including 0 (f(x) ∈ R+)

What does -2(5x+6y-18) equal

Answers

Answer:

-2(5x+6y-18) = -10x-12y+36

Application
8. A small pizza with sauce and cheese costs $6.00.
Each additional topping is $0.75.
a) Write a rule (equation) for the cost of the pizza.

Answers

Answer:

small pizza-sp

additionl topping=atp

If sp=6.00

and atp=0.75 for every topping how ,uch would it cost for three toppings

Step-by-step explanation:

Is it possible for two triangles to have the same side lengths but not be congruent?

Answers

When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.

here are 5 cards: 2,5,7,8,9. one of the cards is removed and then mean average is 6. which card was removed

Answers

Answer:

9 would be removed i believe

Step-by-step explanation:

The card 7 should be remove.

Explain:
Assuming X is the total of 4 cards
X/4=6 => X=24
2+5+8+9=24
=> (2+5+8+9)/4=6

What is the slope of у= 3х — 9​

Answers

Answer:

3

Step-by-step explanation:

We can recognize this equation as a linear equation, which is given by the following formula:

[tex]y=mx-b[/tex], where m is the slope and b is the y-intercept.

Thus, we see that 3 is the slope, and 9 is the y-intercept.

The slope would be 3

43/(-12 + 22
( (2 x 3)2 + (-5 x 2 x 3) + 2
Give your answer in simplest form.

Answers

Answer:

I think it is -1

Step-by-step explanation:

Simplify the problem first.

Let's start with the numerator.

FYI, this, ^, means raised to the power of.

4^3 = 64

-12 + 2^2 = -12 +4 which equals -8

64/-8 = -8

Now simplify the denominator.

(2*3)^2 = 6^2 which equals 36.

-5*2*3 = -10*3 which equals -30

Then add the 2 to the end.

36 + (-30) + 2 = 6 + 2 which equals 8. This is the denominator.

Your fraction now is:

-8/8

Simplify this and you will get -1 as the simplest form.

Please forgive me if this is incorrect.

9514 1404 393

Answer:

  -1

Step-by-step explanation:

A suitable calculator can find the value for you.

  [tex]\dfrac{4^3/(-12+2^2)}{(2\times3)^2+(-5\times2\times3)+2}=\dfrac{64/(-12+4)}{6^2+(-5\times2\times3)+2}=\dfrac{64/(-12+4)}{36+(-5\times2\times3)+2}\\\\=\dfrac{64/(-8)}{36+(-30)+2}=\dfrac{-8}{6+2}=\boxed{-1}[/tex]

Leah loves chicken wings and is comparing deals at 4 different restaurants. Buffalo Bills has 8 wings for $7. Buffalo Mild Wings has 12 wings for $10. Wingers has 20 wings for $17. Wing stop has 10 wings for $12. What is the price per chicken wing? Buffalo Bills $1.20 Buffalo Mild Wings $0.85 Wingers $0.87 Wing stop $1.20

Answers

not to mention the value of x is integrated with the bills which makes the equation oosubtibe

Factorise fully
x2 - 42^2

Answers

Step-by-step explanation:

(x_42)(x+42)...

....

The answer is (x + 42)(x - 42)

By bike, it’s possible to travel 108 miles in 6 days. What’s the unit rate?

Answers

Answer:

18miles per day

Step-by-step explanation:

Just do 108/6

Can somebody help me? Will mark brainliest!

Answers

Answer:

I believe it would be 3 reflection followed by translation.

Step-by-step explanation:

PLEASE HALP ME! timothy had 18 liters of pineapple juice, he shared 4 liters with his sister, 2 with his brother. then got another 12 liters. His brother gave him back 3 liters. How much liters does timothy have?


_________

Answers

Answer: 18-4-2=12, 12+12=24, 24+3=27

Timothy has 27 liters.

Answer:

27 liters

Step-by-step explanation:

18-4=14

14-2=12

12+12=24

24+3=27

What is the value of the expression below?
8:2+6.5

Answers

Answer:

34

Step-by-step explanation:

8/2 = 4

6 times 5 = 30

4 + 30 = 34

ANSWER : 14.7
EXPLANATION :
8.2
6.5
——-
14.7

u will get brainliest and all my points

Answers

Answer:

Step-by-step explanation:

The last step should be: using distributive property by taking out of parentheses the common factor √5

4√5 + 9√5 = √5(4 + 9) = 13√5

The error is made at the last step

it should be 13√5 instead of 13√10.

3 subtracted by 7 times a number

Answers

Answer:

(3-7)x or -4x depends on what your teacher is looking for

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