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OLga [1]
2 years ago
13

The product of the 2nd and 3rd term of a gp is 972.if the first term is 3/4.find the common ratio.

Mathematics
1 answer:
lana [24]2 years ago
4 0

Answer:

Common ratio = 12.

Step-by-step explanation:

2nd term = a1r and 3rd = a1r^2

So (a1)^2 r^3 = 972

a1 = 3/4, so

(3/4)^2 r^3 = 972

r^3 = 972 / 9/16

r^3 = 972*16/9 = 1728

r = 12.

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3 years ago
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A jewellery shop sells 240 necklaces in a month. 18 of the necklaces were sold via the shop's website, the rest were sold in hig
ICE Princess25 [194]

Answer: 3 : 37

Step-by-step explanation:

The shop sold 240 necklaces in a month.

Out of these, 18 were sold online.

The number that was sold offline was therefore:

= 240 - 18

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The ratio of  online sales to shop sales is therefore:

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Take it to simplest form by dividing both sides by their highest common factor of 6:

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5 0
3 years ago
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jeka94
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3 years ago
Y=x​2​​−6x+10​<br> y=4−x​​<br><br><br> How do I substitute?
Shtirlitz [24]

Answer:

(2,2) and (3,1)

Step-by-step explanation:

Since we're given the value of y in the second equation, we can replace the y on the left side of the first equation with 4-x, giving us

4-x=x^2-6x+10\\0=x^2-5x+6

We can factor the expression on the right to get us

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Solving x-2=0 and x-3=0 gets us the solutions x=2,3, which we can plug into the second equation to get us

y=4-2=2\\y=4-3=1

So, our solution set is the pair of points (2,2) and (3,1)

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