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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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To bill customers for water usage, one city converts the number of gallons used into units. This relationship is represented
-Dominant- [34]

Answer:

g is the independent variable.

u is the independent variable.

Step-by-step explanation:

According to the question, the data mentioned is as follows

Equation g = 748u

where,

g = the total number of gallons of water used

And, u =  the number of units.

As we've seen, Consumers are using the number of units of water.

The volume of water units does not depend on the total quantity of gallons of water that is being used.

So, the number of units i.e u represents an independent variable.

hence,

The value of the total quantity of gallons is entirely dependent on the number of units used, and the g represents the dependent variable

Therefore,

The third and fourth option is correct

6 0
3 years ago
Read 2 more answers
Which expressions represent the product of exactly two factors?
egoroff_w [7]

Answer:

B, C,

Step-by-step explanation:

A - This is addition. Finding a product refers to multiplication, so this is not correct.

B - This is multiplication of 5x × 5y, exactly two factors, so this is correct.

C - This is multiplication of (x-y) × (x+y). Each equation inside the parenthesis equals one factor, so this is multiplication of exactly two factors. This answer is also correct.

D - This is multiplication of three factors, x × y × z, and is not correct.

5 0
4 years ago
after a 20% discount , the price of a super slick skateboard is $140 what was the price before the discount
Juliette [100K]
A good way to set up percentage problems is by using "Part = Percent × Whole".
In this case, our part is 140, our percent is 80 (because that 20% wa s took of from the original 100%), and our whole is unknown. If we fill in the equation we get this:
140=80×x.
if we solve the equation by dividing both sides by 80, we get $1.75=x. Because we replaced 80% with 80,we have to divide by 100 since we multiplied by 100 in the beginning. So, we get that $175 was the original price.
4 0
3 years ago
Read 2 more answers
Hey can you please help me posted picture of question
mihalych1998 [28]
Subtracting a number from value of x indicates a horizontal translation towards right.

F(x-5) indicates that F(x) is shifted 5 units to right. So G(x) can be obtained from F(x) by shifting it 5 units to the right.

Thus, the answer to this question is option C
5 0
4 years ago
Convert the temperature from degrees Fahrenheit to degrees Celsius, using the formula below.
poizon [28]

Answer:

70 C

Step-by-step explanation:

C = 5/9 * (F-32)

substitute F = 158

C = 5/9 ( 158-32)

Parentheses first

  = 5/9 (126)

  = 70

5 0
3 years ago
Read 2 more answers
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