The first three terms of a geometric sequence are as follows.
2, -8, 32
Find the next two terms of this sequence.
Give exact values (not decimal approximations).

Answers

Answer 1

Answer:

-128, 512

Step-by-step explanation:

-8/2 = -4, 32/-8 = -4, so the ratio r = -4. 32*-4 = -128, -128*-4 = 512


Related Questions

Given triangle MTW is congruent to triangle BGK,find y.

Answers

Answer:

y = 8

Step-by-step explanation:

As MTW and BGK are congruent

angle T = angle G

4x - 3 = 45

in triangle MTW

angle M = 180 - (T + W)

= 180  - (45 + 41)

= 180 - 86

= 94

and angle M = B

11y + 6 = 94

11y = 94 - 6

11y = 88

y = 8

plss help me with this:(((((​

Answers

The answer for the first question is A

The answer the second question is D

Step-by-step explanation:

so, let's look at the options.

A. (x+3)/x = 3

that hurts already by just looking at it.

but let's check anyway :

x + 3 = 3x

3 = 2x

and that is only true for one value of x (3/2), but not in general.

so, this is wrong.

B. (x²+5)/5 = x² + 1

x² + 5 = 5x² + 5

x² = 5x²

that is only true for one value of x (0), but not in general.

so, this is wrong.

C. (2x+7)/(2x+9) = 7/9

9(2x+7) = 7(2x+9)

18x + 63 = 14x + 63

4x = 0

that is only true for one value of x (0), but not in general.

so, this is wrong.

D. (-5x - 10)/(x+2) = -5

-5x - 10 = -5(x + 2) = -5x - 10

now this is true in all cases, so this is correct.

make simple :

(a² - 4a + 4) / (a² - 4)

with a little bit of experience you see right away that

a² - 4a + 4 = (a - 2)²

as we know from the generic squaring

(a - b)² = a² - 2ab + b² : a perfect fit.

and

(a² - 4) = (a + 2)(a - 2)

as we know from the generic factor multiplying

(a+b)(a-b) = a² + ab - ab - b² = a² - b² : a perfect fit.

so, the given expression is actually

(a - 2)² / ((a - 2)(a + 2)) = ((a-2)(a-2)) / ((a-2)(a+2))

and so, after eliminating one (a-2) term in the numerator and in the denominator the following remains :

(a - 2) / (a + 2)

and that is answer A

The expression 3(x + 4) - (2x + 7) is equivalent to

Answers

Answer:

Why don't know wt is equal to..

Step-by-step explanation:

3(x + 4) - (2x + 7)

3x + 12 - 2x - 7

1x + 5

x + 5

Can someone please explain what x is over here? And solve a part with working please :). Eternally grateful

Answers

Answer:

[tex]\frac{1}{9}[/tex] , 3 , 10

Step-by-step explanation:

Using the rules of exponents

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]

[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^m}[/tex]

[tex]a^{0}[/tex] = 1

(a)

[tex]6^{-x}[/tex] = [tex]\frac{1}{6^{x} }[/tex] = [tex]\frac{1}{9}[/tex]

(b)

[tex]6^{\frac{x}{2} }[/tex] = [tex]\sqrt{6^{x} }[/tex] = [tex]\sqrt{9}[/tex] = 3

(c)

[tex]6^{0}[/tex] + [tex]6^{x}[/tex] = 1 + 9 = 10

Answer this for alot of piontsssssss plssssssssss I need it by today please have a good day ​

Answers

Answer:

Can anyone agree this image is blurry? Can you send it again but not blurry this time? Sorry!

Step-by-step explanation:

In Dominic’s classroom, there are 5 rows of desks. There are 5 desks in each row. In all, 5 classrooms in his school have the desks set up the same way. Write an expression with an exponent that shows the total number of desks in these 5 classrooms.

Use words, numbers, and/or pictures to show your work. Write your answer on the paper provided.

Answers

Answer:

5^(3) is the exponent form which equals 125desks

Step-by-step explanation:

A row has 5 desks

A classroom has 5 rows of desks= 5*5 desks

The school has 5 classrooms

=5*5+5*5+5*5+5*5+5*5 desks

=5^(2)+5^(2)+5^(2)+5^(2)+5^(2)

=5[5^(2)]

=5^(3) = 125 desks

help please !!!!!!!!!

Answers

-a,2b
The correct answer

how do I solve this linear inequality?
5x - 7 > 4x + 8

Answers

Step-by-step explanation:

just like an equation.

5x - 7 > 4x + 8 | -4x + 7

x > 15

and that is your result.

in contrast to an equation, an inequality delivers a range as result and not a single point.

Answer:

[tex]\huge\boxed{\sf x > 15}[/tex]

Step-by-step explanation:

5x - 7 > 4x + 8

Subtract 4x to both sides, and Add 7 to both sides

5x - 4x > 8 + 7

x > 15

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

A water pipe can fill an empty pool in 3 hours. When the pool is full, an open drain can empty the pool in 4 hours. Using the water pipe with the drain open, how many hours will it take to fill the empty pool? I give brainliest

Answers

Answer:

Step-by-step explanation:

Even though this seems like a crazy trick question it isn’t. An empty pool with a closed drain takes 3 hours to fill. A full pool with and open drain takes 4 hours to empty. So to fill and empty pool with an open drain, i’d say in my opinion it’d either take 7 hours or you wouldnt be able to fill it at all. I mean it’s an open drain

hope this helped :3

:3 byeeeeeeeeeeeeeeeee

BRAINLIEST
Can you help me finish these

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

help me please on my math I need All of this FACTORS and the LCM​

Answers

Answer:

the LCM is :

1. 144

2.40

3.870

4. 63

5.216

6.150

7. 112

8.162

9. 96

10. 40

DesBest Granola bars are now 25% longer. if the original bar was 20 centimeters long, how long is the new granola bar?

Answers

Answer:

25

Step-by-step explanation:

25% is a 4th of the whole number, the whole number is 20 so a 4th of 20 is 5 because 5 times 4 equals 20.

due to the fact that 25% of 20 is 5 we now have to add that to the whole number which is 20.

20 + 5 = 25

Can you please help I’ll give you points I need help if I can’t pass this I can’t play in my basketball game Sunday

Answers

Answer:

  m∠X = 70°

Step-by-step explanation:

In congruent triangles, corresponding parts have the same measures. In ΔABC and ΔXYZ, the corresponding parts are ...

  ∠A = ∠X = 70° . . . . . . . . . . . matches choice A

  ∠B = ∠Y = (90° -70°) = 20°

  ∠C = ∠Z = 90°

  AB = XY = √(3.5² +9.6²) ≈ 10.22 cm

  BC = YZ = 9.6 cm

  AC = XZ = 3.5 cm

Answer:

 m∠X = 70°

Step-by-step explanation:

In congruent triangles, corresponding parts have the same measures. In ΔABC and ΔXYZ, the corresponding parts are ...

 ∠A = ∠X = 70° . . . . . . . . . . . matches choice A

 ∠B = ∠Y = (90° -70°) = 20°

 ∠C = ∠Z = 90°

 AB = XY = √(3.5² +9.6²) ≈ 10.22 cm

 BC = YZ = 9.6 cm

 AC = XZ = 3.5 cm

helpp pleaseeeeeeeeee​

Answers

Interior alternate angles

Translate the sentence into an equation.

Nine more than the quotient of a number and 8 is equal to 5.

Answers

Answer:

x/8 + 9 =5

Step-by-step explanation:

Quotient is division and I decided to use x as my number so the first part is x/8. Then you do the nine more because more is addition to whatever is after it in our case it is x/8 so now you have x/8 + 9. Then it says equals 5 so the equation is x/8 + 9 = 5

I hope this helps!

Use a number line to add or subtract.
3−(-1)=

Answers

Answer:

4

Step-by-step explanation:

rule 1 positive + positive= positive

rule 2 negative plus negative = negative

A reflection over the x axis moves the point (-2, 5) to which quadrant?
I
Hiiii!!! Can someone please help mee!! I will give you double points!!!

Answers

Answer:

II quadrant

Step-by-step explanation:

Looking at the drawing, you can determine that the point with

coordinates (-2 ; 5) is in the II quadrant

6 (3j + 5 + 4j) simplified with the commutative property
(25 points)
(this is 6th grade second-semester math)

Answers

Answer:

6 x (3j + 5+ 4j)

6 x(8j+4j)

6 x 12

72

Step-by-step explanation:

hope this helps

Jasmine got a new puppy for her birthday. He's full of energy, so she takes him for a walk along a 1.2-mile loop in a nearby park. If they walked a total of 3.6 miles, how many loops did they do?

Answers

Answer:

3 loops

Step-by-step explanation:

1.2x = 3.6 [Setting up an equation]

x = 3 [dividing both sides by 1.2]

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

2x+3y=15
x+y=6
work out the values of x and y.

Answers

Answer:

Step-by-step explanation:

Elimination sounds the easiest for y:

[tex]I - 2II: 2x+3y -2x -2y = 15-12 \rightarrow y= 3[/tex]

Now we got one value, let's replace in one of the two and find the second

[tex]II: x+(3)=6 \rightarrow x=3[/tex]

Answer:

[tex]2x + 3y = 15...(1) \\ x + y = 6...(2) \\ 2 \times (2) \\ 2x + 2y = 12...(3) \\ (1) - (3) \\ 0 + 3y - 2y = 15 - 12 \\ \color{red} \boxed{ y = 3 }\\ sub \: in \: (2) \\ x + 3 = 6 \rightarrow \: x = 6 - 3 \\ \color{green} \boxed{ x = 3 }[/tex]

Tayla purchased a large box of comic books for $300. She gave 15 of the comic books to her brother and then sold the rest on an Internet website for $330, making a profit of $1.50 on each one. How many comic books were in the box

Answers

Answer:

Number of comic books is 75.

Original price of each comic book is 4$.

Step-by-step explanation:

There were 75 comics in the box originally.

What is an equation?

An equation is the statement of equality between two expressions consisting of variables and/or numbers.

Given that, Tayla purchased a large box of comic books for $300. She gave 15 of the comic books to her brother and then sold the rest on an internet website for $330, making a profit of $1.50 on each one.

Let x be the number of comics originally

(x - 15) is the number of comics sold.

Original price of each comic = 300/x

Price of comics which she gave to brother = 15*300/x

Original price of all the books that has been sold  = 300 - 15*300/x

Tayla's profit = 330 - (300 - 15*300/x) = 30 + 15*300/x

Number of comics sold = (30 + 15*300/x)/1.5

Equation will be,

(30 + 15*300/x)/1.5 = x - 15

20 + 3000/x = x - 15

(x² - 15x - 3000)/x = 20

x² - 35x - 3000 = 0

On factorizing the quadratic equation, we get,

x = 75 or -40 (Neglecting -40, because number of books can't be negative)

Hence, there were 75 comic books in the box originally.

For more references on Equations, click;

https://brainly.com/question/10413253

#SPJ5

Number line fractions

Answers

Answer:

-7/4 is between -2 and -1 1/2

11/4 is in between 2 1/2 and 3

Step-by-step explanation:

-7/4 is -1.75 which means its right before -2

11/4 is 2.75 which means it's right before 3

Please, If you can help i will be grateful and give brainliest.

Answers

Answer:

To complete the square, you always want to add [tex](\frac{a}{2} )^{2}[/tex], where a is the coefficient of x.

In this case, the coefficient of x is -1.

Thus,

[tex]y=x^2-x+1[/tex]

[tex]y=x^2-x+(\frac{-1}{2})^2 +1-(\frac{-1}{2})^2[/tex]

[tex]y=(x-\frac{1}{2})^2+1-\frac{1}{4}[/tex]

[tex]y=(x-\frac{1}{2})^2+\frac{3}{4}[/tex]

If you can walk 3/8 of a mile in 1/9 hour, how far could you walk in one hour

Answers

9514 1404 393

Answer:

  27/8 = 3 3/8 miles

Step-by-step explanation:

To find the rate in miles per hour, divide miles by hours.

  (3/8 mi)/(1/9 h) = (3/8)·(9/1) mi/h = 27/8 mi/h = 3 3/8 mi/h

You can walk 3 3/8 miles in 1 hour at that rate.

Leah bought 3/4 pound of trail mix to make snack bags. She put 1/8 pound of trail mix into each snack bag. Which expression can be used to find how many snack bags Leah made? (Show work and simplify pls)

Answers

Answer:

3/4 ÷ 1/8 = 6

Step-by-step explanation:

first you would have to figure out how to make them even factors.

6/8 ÷ 1/8

Then you would divide, and get 6.

Help me I don’t understand please explain the answer to me

Answers

Answer:

a

Step-by-step explanation:

r and t are same- side exterior angles and sum to 180 , so

t + r = 180 , that is

t + 91 = 180 ( subtract 91 from both sides )

t = 89

t and u are vertically opposite angles and are congruent , so

u = t = 91

Then

t + u = 89 + 89 = 178 → a

If i can get 6 poland spring water 3-liter for $6. How much would it be if i get 3 poland water?

Explain

Answers

Answer:

$3

if we wanted to find how much 1 bottle would cost we would do 6/6=1 and from that we now know that 1 bottle of water costs $1 so if we times that by 3 to find out how much 3 bottles will cost we get $3.

In how many years will Rs 1200 at the rate of 15% interest amount to Rs 1740?​

Answers

Answer:

3 years.

Step-by-step explanation:

Answer

3 years

Step by step explanation

Interest = 1740 - 1200

= 540

SI = prt/100

540 = 1200*15*t/100

540 = 12*15*t

540 = 180*t

t = 540/180

t = 3 yrs

Which postulate or theorem proves that these two triangles are
congruent?
O HL Congruence Theorem
ASA Congruence Postulate
O SAS Congruence Postulate
• AAS Congruence Theorem

Answers

Answer:

AAS Congruence Theorem

Step-by-step explanation:

the lines in the angle show similarity. so angle FGJ= angle HJG, similarly, angle F= angle H.GJ is the same as JG so this side of both triangles is congruent. since the order of congruency is the same (triangle GHJ: angle H, angle HJG, then JG; triangle JFG: angle F, angle FGJ, then GJ) and the congruent side length isn't between the congruent angles, it's AAS

please help! with work please Zeroes of polynomials. will give brainliest!

Answers

Answer: 4k^2 - 9k - 9 = 0

Step-by-step explanation:

lmk if i was right please and ty

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