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Brrunno [24]
3 years ago
5

If x,y and z are the first three terms of an geometric sequence, show that x^2,y^2 and z^2 form another geometric sequence

Mathematics
1 answer:
olganol [36]3 years ago
8 0
<span>x y z are in geometric 
x/y = y/z 
OR y^2=xz 

x^2, y^2, z^2 

x^2, xz, z^2 
If they are in geometric sequence then 
xz/x^2 = z^2/xz 
z/x = z/x 
The ratios are common 
so x^2,y^2 & z^2 is a GP.</span>
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The next model of a sports car will cost 5.2% less than the current model. The current model costs $41,000. How much will the pr
Ivanshal [37]

The price will decrease by $2132

<u>Step-by-step explanation</u>

Given that the next model of the sports car will cost 5.2% less than the current model.

The price of the current model=$41000

The price of the next model will be 5.2% less than $41000

price\ of\ next\ model=price\ of \ current \ model \times(100-5.2)/100\\=41000\times 94.8/100\\=38868

decrease in price=41000-38868=2132

There is a $2132 decrease in prize of the sports car.

3 0
3 years ago
​Aki's Bicycle Designs has determined that when x hundred bicycles are​ built, the average cost per bicycle is given by​ C(x)= 0
weqwewe [10]

Answer:

Step-by-step explanation:

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5 0
2 years ago
Please answer this question! 20 points and brainliest!
azamat

Step-by-step explanation:

You have to substitute... 0, 5, & 10, & 3

y = 2x + 3

y = 2(0) + 3

y = 0 + 3

y = 3

(0,3)

y = 2x + 3

y = 2(5) + 3

y = 10 + 3

y = 13

(5,13)

y = 2x + 3

y = 2(10) + 3

y = 20 + 3

y = 23

(10,23)

y = 2x + 3

y = 2(3) + 3

y = 6 + 3

y = 9

(3,9)





5 0
3 years ago
Create and Solve an equation to find the unknown angle. ​
valentina_108 [34]

Answer:

Equation: 2x + 3x + 10 = 180

x = 34

Top angle = 68 degrees

Bottom angle = 112 degrees

Step-by-step explanation:

The two angles add to 180, so set them equal to 180.

2x + 3x + 10 = 180

5x + 10 = 180

     - 10    - 10

5x = 170

/ 5    / 5

x = 34

Plug x into angles,

2(34) = 68

3(34) + 10 = 112

8 0
3 years ago
Read 2 more answers
Zorah, a musician, pays $120 to have her instrument tuned and $10 per hour for a booth at a fair. She estimates that she earns$2
Lana71 [14]

Answer:

To break-even, Zorah needs to play for 8 hours.

Step-by-step explanation:

<u>To calculate the break-even point in hours, we need to use the following formula:</u>

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 120 / (25 - 10)

Break-even point in units= 8 hours

To break-even, Zorah needs to play for 8 hours.

5 0
3 years ago
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