Find Four Numbers that form a geometric progression such that the second term is less than the first by 35, and the third term is greater than the fourth term by 560. (Note: there should be 3 different possible geometric sequences)

Answers

Answer 1

Answer:

-35/3, -140/3, - 560/3, -2240/37, -28, 112, - 448  

Step-by-step explanation:

The terms are:

a₁, a₂, a₃, a₄

Given:

a₁ = a₂ + 35a₃ = a₄ + 560

Use the nth term formula:

a₂ = a₁ra₃ = a₁r²a₄ = a₁r³

Substitute:

a₁ = a₁r + 35 ⇒ a₁(1 - r) = 35a₁r² = a₁r³ + 560  ⇒ a₁(1 - r)r² = 560

Divide the second equation by the first:

r² = 560/35r² = 16r = √16r = ± 4

Use the first equation to find the first term:

a₁( 1 ± 4) = 351. a₁ = 35/-3 = -35/32. a₁ = 35/5 = 7

We have two sequences:

r = 4

-35/3, -140/3, - 560/3, -2240/3

r = -4

7, -28, 112, - 448  

Related Questions

Please tell me how to do this or what the answer is :((

Answers

Answer:

(2,-6)

Step-by-step explanation:

You have to go along the X axis then along the Y axis (across the landing, up/down the stairs).

y=2x+1
y=4x-1
SHOW YOUR WORK PLEASE

Answers

Let's solve your system by substitution.

y=2x+1;y=4x−1

Step: Solve y=2x+1for y:

y=2x+1

Step: Substitute2x+1foryiny=4x−1:

y=4x−1

2x+1=4x−1

2x+1+−4x=4x−1+−4x(Add -4x to both sides)

−2x+1=−1

−2x+1+−1=−1+−1(Add -1 to both sides)

−2x=−2

−2x

−2

=

−2

−2

(Divide both sides by -2)

x=1

Step: Substitute1forxiny=2x+1:

y=2x+1

y=(2)(1)+1

y=3(Simplify both sides of the equation)

Answer:

x=1 and y=3

Is 2(6 – 3x) + x equivalent to 2(3x) + x + 12?

Answers

Answer:

Step-by-step explanation:

Carry out indicated operations to see if they are equal

2(6-3x)+x=2(3x)+x+12

2(6)+2(-3x)+x=6x+x+12

12-6x+x=6x+x+12 combine like terms on both sides

12-5x=12+7x (we can see here they are unequal but we can continue) subtract 12 from both sides

-5x=7x divide both sides by x

-5=7

7 is not equal to -5 so the original expressions aren’t equivalent.

6.4x+2.3=47.1 solve for x.

Answers

Answer:

x=7

Step-by-step explanation:

Answer:

X=7

Step-by-step explanation:

1.) Subtract 2.3 from both sides makeing it 6.4x= 44.8

2.) DIvide 6.4 on both sides making it X=7

A train leaves at 09.46 and arrives at its destination at 10.34.
If the train travelled 74 km, what was it's average speed in km/h?
Give your answer rounded to 1 dp.

Answers

Answer:

92.5km/h

your welcome

2. Complete the function
table using the rule
y = x + 4.5

Answers

Answer:

Step-by-step explanation:

Given function is,

y = x + 4.5

To complete the input-output table given in the picture we will substitute the values of x in the function rule,

For x = 1,

y = 1 + 4.5

y = 5.5

For x = 3

y = 3 + 4.5

y = 7.5

Therefore, complete table will be,

x         0          1          2         3        

y        4.5       5.5      6.5      7.5

The coefficient in the expression 3x - 5 is​

Answers

Answer:

coefficient can be taken of a particular number or variable not a whole expression

Step-by-step explanation:

this may help you

coefficient of x is 3

hope it helps you

please mark me as brainlist

A coefficient is a constant multiplied by a variable or variables ( which is a symbol, example “x”).

So in this equation the coefficient is 3

(FOR BRAINLIEST!!!)

Type the correct answer in the box.
The line of best fit for this scatter plot shows the relationship between the average temperature and the monthly electricity bill at Jenny's house.

Answers

Answer:

Around 200 Dollars

Hope it helps

Answer:

$200

Step-by-step explanation:

Which expressions are equivalent to x+x+x + 2x+x+x+2x, plus, x, plus, x, plus, 2 ?

Answers

Answer:

A and D should be correct

Step-by-step explanation:

 examples on how you use is mathematics inside or outside of school

Answers

Homework, discounts at the grocery store, number of items

£100 is divided between Fiona, Pip and Sara so that Fiona gets twice as much as Pip, and Pip gets 3 times as much as Sara. How much does Pip get?

Answers

Step-by-step explanation:

if pip gets x

sarah gets x/3

fiona gets 2x

so x+x/3 +2x=100

10x/3=100

x=30

three decimal numbers that when rounded to the nearest hundredths place will round to the number 6.75.

Answers

Answer:

6.7491, 6.7524, 6.7463

Step-by-step explanation:

Need h e l p it's Algebra

Directs they put for me:

1 STEP EQUATIONS: Solve each equation
_____________________________________

(Answer All Correctly)

(Best Answer get brainliest)

-I give : Brainliest,Thankyou's,Star Ratings-

Answers

Answer:

5)216

6)18

7)5

8)-11

Step-by-step explanation:

love the pfp

Answer:

x=216

n=18

m=5

x=-11

Step-by-step explanation:

12= x/18

Can also be written as 12=x÷18. Multiply each side by 18 to isolate x and to find the value of x.

This will cause the equation to look like 12×18=x÷18×18. This will eliminate 18 from the right side of the equation and for 12×18 to equal 216. After simplifying it will equal:

x=216

3=n/6

Can also be written as 3=n÷6. Multiply each side by 6 to isolate n in order to find the value of n.

This will cause the equation to look like 3×6=n÷6×6. After simplifying the equation by causing the 6 on the right side of the equation to cancel out and multipyling 3 and 6 together, it will equal:

n=18

-10=m+(-15)

Add 15 to each side of the equation to find the value of m.

This will cause the equation to look like -10+15=m+(-15)+15. This will cause the 15s on the right side of the equation to cancel out and for the left side of the equation to equal 5. After doing this, the equation will equal:

5=m

-7+x=-18

Add 7 to each side of the equation to isolate x in order to find the value of x.

This will cause the equation to look like -7+7+x=-18+7. This will cancel out the 7s on the left side of the equal and the right side of the equation will equal -11. After using these steps to simplify, the equation will equal:

x=-11

Lütfen cevaplarmısınız ödevi çok acil​

Answers

I’m going to answer them for you In English
1: 3x = 15
We divide 3 from both sides
X= 5

2: 2a + 5 = 25
Take the 5 to the other side the sign will be negative 25-5= 20
2a = 20
Divide both sides by 2a
You will get a= 10

Question 8: -7b + 5 = 4b + 13 what is b?
You will collect the like term first
-7b -4b = -5 + 13
-11b = 8
Divide both sides by 11 you get -1.37.

Question 12: x/4 = 5 what is x?

You do cross multiplication the number doesn’t have any denominator it’s always 1
1.x = 1x
4.5= 20

1x= 20
X=20

Hope this helped I didn’t do some of them sorry

Identify a, b, and c in the quadratic expression
9 + 6x2 – 5x

Answers

Answer:

wsz=23

Step-by-step explanation:

Answer:

a=6x^2

b=-5x

c=9

Step-by-step explanation:

PLEASE HELP


Meryl buys new baseball equipment for $2000. The purchase made is with a credit card that has a 19% APR. Meryl makes a $150 payment monthly. How many months will it take Meryl to pay off the balance?

Answers

Answer:

It will take Meryl 15.09 months to pay off the balance.

Step-by-step explanation:

This can be calculated using the formula for calculating the present value of an ordinary annuity as follows:

PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV = Present value or the cost of the new baseball equipment = $2000

P = Monthly payment = $150

r = Monthly interest rate = annual percentage rate (APR) / 12 = 19% / 12 = 0.19 / 12 = 0.0158333333333333

n = number of months it will take Meryl to pay off the balance = ?

Substitute the values into equation (1) and solve for n, we have:

2000 = 150 * ((1 - (1 / (1 + 0.0158333333333333))^n) / 0.0158333333333333)

2000 / 150 = (1 - (1 / 1.0158333333333333)^n) / 0.0158333333333333

13.3333333333333 = (1 - 0.984413453650536^n) / 0.0158333333333333

13.3333333333333 * 0.0158333333333333 = 1 - 0.984413453650536^n

0.21111111111111 = 1 - 0.984413453650536^n

0.984413453650536^n = 1 - 0.21111111111111

0.984413453650536^n = 0.78888888888889

loglinearize both sides, we have:

nlog0.984413453650536 = log0.78888888888889

n = log0.78888888888889 / log0.984413453650536

n = -0.102984160720249 / -0.00682245957075587

n = 15.0948729929724

Rounding to 2 decimal places, we have:

n = 15.09

Therefore, it will take Meryl 15.09 months to pay off the balance.

–1+–10+–10–5z
answer
now
please-

Answers

Answer:

−5z−21

Step-by-step explanation:

If factored it is :-5z-21

Answer:

-21-5z

Step-by-step explanation:

-1+(-10)+(-10)-5z

-1-10-10-5z

-1-20-5z

-21-5z

write the expression that represents y increased by 5%

Answers

Answer:

y·1.05

Step-by-step explanation:

5% = 0.05
since it’s increasing do 1 + 0.05
= 1.05
y=1.05x

Add the expressions (5x2y3z)and(-7x2y3z).
A.-12x2y3z
B.-2x2y3z
C.2x2y3z
D.12x2y3z​

Answers

Answer:

B

Step-by-step explanation:

A scientific calculator has 42 buttons. There are twice as many grey buttons as orange buttons. There are two more white buttons than grey buttons. There twice as many black buttons as white buttons. WRITE AN EQUATION TO CALCULATE HOW MANY BUTTONS OF EACH COLOUR THERE ARE. LET X REPRESENT THE NUMBER OF ORANGE BUTTONS.

Answers

Answer:

x + 2x + 2x + 2 + 4x + 4 = 42

Step-by-step explanation:

Let us assume the number of orange buttons be x

So, the grey buttons be 2x

The white buttons would be 2x + 2

And the black buttons be 2(2x + 2) i.e. 4x + 4

Also the total is 42 buttons

So, the equation is

x + 2x + 2x + 2 + 4x + 4 = 42

Find the value of k that makes each statement true.

Answers

Answer:

k=7

ahdaursitditncnckfififigigi

Can someone pleaseeee help and if you’re correct I’ll give u brainlist!

Answers

The answer is 39 haha

Step-by-step explanation:

who wouldnt know that its 39 duh

SOMEBODY ANSWER THIS PLZ PLZ PLZ!!!

Answers

Answer:

D. 18

Step-by-step explanation:

This is the combination of 3, 3 and 2 options.

The number of combinations is:

3*3*2 = 18

Correct choice is D

HELP ME PLZ WILL GIVE BRIANLY

Answers

Answer: 82 students

78+4=82

haha

Answer:

82

Step-by-step explanation:

HELLP!!! PLSSSS!! I'M STUUPIID!!

Answers

Step-by-step explanation:

26 + x = 90

x = 90 - 26

x = 64°

.....

please help me with this quadratic equation question..... I will give brainliest if you answer​

Answers

A) Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

P= 3x^2/6x—1

Please help FAST!!!!
Which equation represents a line that has a slope of 1/3 and passes through point (-2, 1)?


(A. y = 1/3x- 1

(B. y = 1/3x+ 5/3

(C. y = 1/3x- 5/3

(D. y = 1/3x+ 1

Answers

Answer:

C

Step-by-step explanation:

Answer:

D

Step-by-step explanation: The slope is 1/3x, and that means it would pass through (-2,1) if the slope was there. Hope this helps  (:

A group of friends were working on a student film. They spent all their budget on equipment and props. They spent $216 on equipment, and 73% of the total budget on props. What was the total budget for their student film?

Answers

Answer:

800

Step-by-step explanation:

100x216=27

21600 divided by 27=800

The total budget for this student film was 800$.

What is the percentage?

A percent is a quantity or ratio that, in mathematics, represents a portion of one hundred. A dimensionless relationship between two numbers can be represented in a variety of ways, such as through ratios, fractions, and decimals. The symbol "%" is frequently written after the number to indicate percentages. Additionally, you can indicate them by adding "percent" or "pct" after the number.

Given, A bunch of buddies was producing a school movie. Their whole budget was spent on props and equipment. Equipment cost $216, while props accounted for 73% of the whole budget. Hence,

Percent of their budget they spent on equipment = 100 - 73 = 27

Also given the money spent on budget = 216

Thus, 27 % of the total budget = 216

1 % of the total budget = 8

Total budget = 8 *100

Therefore, This student movie had an 800-dollar budget in total.

Learn more about percentages here:

https://brainly.com/question/29116686


#SPJ2

What is the answer please

Answers

Answer:

RVS is equal to 180 - 26 degrees, or 154 degrees.

Bonus: I assume the next part of the question asks you to solve for x, where x is equal to that angle.  If so, then the answer is 15:

154 = 10x + 4

150 = 10x

x = 15

Natalia went to the deli and ordered 1/2 pound of sweet ham, 5/6 pound of roast beef, and 2/8 pound of smoked chicken. How many pounds of meat did she order? *

Answers

Answer:

the answer is 1 and 7/12

Step-by-step explanation:

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