Find the common ratio of the geometric sequence 17, -51, 153, ...

Answers

Answer 1

Answer:

an = 17 ( − 3 ) n − 1

Step-by-step explanation:

Use the formula an = a 1 r n − 1 to identify the geometric sequence.


Related Questions

Guy and Jim work at a furniture store. Guy is paid $185 per week plus 3% of his total sales in dollars, X, which can be represented by g(x) = 185 +0.03x. Jim is paid $275 per week plus 2.5% of his total sales in dollars, x, which can be represented by f(x) = 275 +0.025%. Determine the value of x, in dollars, that will make their weekly pay the same.​

Answers

Answer:

$18,000.

Step-by-step explanation:

When their weekly pay is the same:

185 + 0.03x =  275 + 0.025x

0.03x - 0.025x =  275 - 185

0.005x = 90

x =90/0.005

x = 18,000

A lizard is 4 1/2 inches long.
How long is the lizard in centimeters?

Answers

Answer:

The lizard is 11.43 centimeters long.

how would i plot this on a graph?

Answers

Answer:

(1, 4)

Step-by-step explanation:

im assuming that the point is h(1) = 4

this point is basically just h(x) = y

1 is your x

4 is your y

you plot it at the point (1, 4)

Pierson's Pet Palace has an 85 gallon fish tank. When it needs to be cleaned, it can be drained at a rate of 4 gallons per minute. Write an equation. help pls

Answers

Answer:

Step-by-step explanation:

The time it takes to empty the tank = 85/4 + 0.25 = 21.25 minutes.

- because it takes 21 minutes  to empty 84 gallons and the last gallon takes

1/4 of a minute.

Solve the equations below. Give exact solutions only. Show your work.

a) 5x^2 - 7 = 72
b) x(x + 2) = 5
c) 3x^2 + 2x - 4 = 0

Answers

Answer:

A. 5x² - 7 - 72 = 0

5x² - 79 = 0

x = ± √-4ac / 2a

x = ± √- 4 (5) (-79) / 2 (5)

x = ± √ 1580 / 10

x = ± 39.749/10

x = + 39.749/10 x = -39.749/10

= 3.9749 = - 3.9749

B. x² + 2x - 5 = 0

x = - b ± √b² - 4ac / 2a

= - 2 ± √2² - 4 (1) (-5) / 2 (1)

= - 2 ± √4 + 20 / 2

= - 2 ± √ 24 / 2

x = - 2 + 4.898 /2 x = - 2 - 4.898 / 2

= 2.898/2 = -6.898/2

= 1.449 = - 3.449

C. 3x² + 2x - 4 = 0

x = - b ± √b² - 4ac / 2a

= - 2 ± √2² - 4 (3) (-4) / 2 (3)

= - 2 ± √4 + 48 / 6

= - 2 ± √ 52 / 6

x = - 2 + 7.211 /6 x = - 2 - 7.211 / 6

= 5.211/6 = - 9.211 /6

= 0.869 = - 1.535

Hope that helps

Please to re-check answers

Simplify the expression
x - (-2x + 4)

Answers

I came up with my answer 3x - 4

The temperature of a pot of hot water is 200.5. The temperature of the water decreases 3.5 per minute. What is the temperature of the water after 15 minutes?

Answers

Answer:

The temperature of the liquid 15 minutes later is [tex]151.5[/tex]

Step-by-step explanation:

This is an example of arithmetic progression

We need to find 15 th term

Here

[tex]a=200.5\\\\d=-3.5\\\\t_{15}=200.5+(15-1)\times-3.5\\\\=151.5[/tex]

How fast must a jet travel to reach its destination
2,064 miles away in 4 hours?

Answers

516 mph if u wanna get there in 4 hours

can someone explain this to me ?

Answers

Answer:

well y= mx + b

Step-by-step explanation:

it is going up by 2/5 then your answer is y =2/5+5

The triangle shown below has an ar

Answers

Answer:

a^2+b^2=c^2

C=7

b=?

a=4

LET B=x =

[tex] \sqrt{65 } [/tex]

pleaseeee help??????​

Answers

A is the associative property of addition

The corner store sells pairs at a rate of $2.50 for per pair if Fiona has $15 how many pairs can if you fiona buy?

Answers

Answer: Fiona can buy six pairs.

15/2.5 = 6

Answer:

Fiona can buy 6 pairs

Step-by-step explanation:

2.50x 6

A system of equations is shown below y=3x-7 y=2x+1 what is the solution to the system of equations 8 ,17 -8,17 -8,-17 8,-17

Answers

Answer:

(8, 17)

Step-by-step explanation:

y = 3x - 7,  y = 2x + 1

Substitute the second equation into the first for y.

2x + 1 = 3x - 7

8 = x

Now use 8 for x in one of the equations and solve for y.

2(8) + 1 = y

y = 17

(8, 17)

Find the range of the function F(x) = the integral from 0 to x of the square root of 4-t^2 dt

Answers

Note that √(4 - t²) is defined only as long as 4 - t² ≥ 0, or -2 ≤ t ≤ 2. Then the real integral exists only if -2 ≤ x ≤ 2. (Otherwise we deal with complex numbers.)

If x = 2, then the integral corresponds to the area of a quarter-circle with radius 2. This means that the integral has a maximum value of 1/4 • π • 2² = π.

On the opposite end, if x = -2, then the integral has the same value, but the integral from 0 to -2 is equal to the negative integral from -2 to 0. So the minimum value is -π.

For all x in between, we observe that the integrand is continuous over the rest of its domain, so F(x) is continuous.

Then the range of F(x) is the interval [-π, π].

Please answer this ASAP
Solve for y.
30y=20y+60

A: y= -6
B: y= 6
C: y= 1.2
D: y= -1.2

Answers

B
Thirty times 6 equals to 20 times 6 plus 60

X-Y=9 and 2X+5Y=4 solve by substitution

Answers

Answer:

(7,-2)

Step-by-step explanation:

Answer:

(7, - 2 )

Step-by-step explanation:

x - y = 9 ( add y to both sides )

x = y + 9 → (1)

2x + 5y = 4 → (2)

Substitute x = y + 9 into (2)

2(y + 9) + 5y = 4 ← distribute parenthesis and simplify left side

2y + 18 + 5y = 4

7y + 18 = 4 ( subtract 18 from both sides )

7y = - 14 ( divide both sides by 7 )

y = - 2

Substitute y = - 2 into (1)

x = - 2 + 9 = 7

solution is (7, - 2 )

Rewrite the expression as only multiplication and evaluate.
2
1 -

Answers

Answer:

72

Step-by-step explanation:

1 * 3/2 * (-8) * 3 * (-2)

3/2 * (-8) * 3 * (-2)

(-24/2) * 3 * (-2)

(-12) * 3 * (-2)

24 * 3

72

X^2-18x complete the square

Answers

[tex]x^2 -18x \\\\=x^2 - 2 \cdot 9x +9^2 -9^2\\\\=(x-9)^2-81[/tex]

what does x equal?
3/4(x+21)=10 1/2

Answers

x= -7

Hope this helps :)

14÷966 I need help doing this pls help

Answers

Answer:

0.01

Step-by-step explanation:

i hope this help only that u need to do next time is to divide 966 with a number that is close to the sum

please help me!


ty ty :)

Answers

Answer:

y-2 = -11 (x-5)

Step-by-step explanation:

2 is the y value of the point, 5 is the x value and -11 is the m value.

Slope point form: y-y1 = m(x-x1)

Hope that helps

lines y = -x+2 and y=x+1. The point of intersection of the linear equations is *

(0,2)
(0.5, 1.5)
(-1,0)
(2,0)

Answers

We can solve it by seeing the graph but let's solve the equations.

[tex]\\ \sf\Rrightarrow y=-x+2[/tex]

[tex]\\ \sf\Rrightarrow y=x+1[/tex]

Now

[tex]\\ \sf\Rrightarrow -x+2=x+1[/tex]

[tex]\\ \sf\Rrightarrow -2x=-1[/tex]

[tex]\\ \sf\Rrightarrow x=0.5[/tex]

Put in eq(2)

[tex]\\ \sf\Rrightarrow y=0.5+1[/tex]

[tex]\\ \sf\Rrightarrow y=1.5[/tex]

Done

/ why we use this symbol

Answers

The slash is an oblique slanting line punctuation mark /. Once used to mark periods and commas, the slash is now most often used to represent exclusive or inclusive or, division and fractions, and as a date separator.

Here is a system of equations that represent the constraints in the situation. x + y = 4.25 16.90x + 4y = 36.35 Find the solutions to the system of equations. Explain or show your reasoning

Answers

Answer:

Step-by-step explanation:

fff

Pls solve I need this today

Answers

Answer:

25

Step-by-step explanation:

If Uber charges $12 for a ride plus $2 per mile, write an equation for the cost (where x is the miles)

Answers

Answer:

12 + 2x = y

Step-by-step explanation:

y would be the total cost

Answer:

$12 + $2 × x

Step-by-step explanation:

Palawbhehrht awnser yes or mo

Answers

Answer:

yes

Step-by-step explanation:

Find the slope of the line that passes through (-2, -44) and (-1, -70).

Answers

Let m = slope of the line.

m = delta y/delta x

m = (-70 -(-44)/(-1 -(-2)

m = (-70 + 44)/(-1 + 2)

m = -26/1

m = -26

Understand?

Help pls + brainliest

Answers

Answer:

Letter C.

Step-by-step explanation:

Lap 1 be x

Lap 2 be y

Line graph: plot the values, and will get C.

there are 6 cups of sugar in 5 batches of cookies. how many cups are in 1 batch

Answers

Answer:

1.2 cups

Step-by-step explanation:

6 cups / 5 batches = 1.2 cups/batch

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