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marissa [1.9K]
3 years ago
12

To get to the next term in this sequence, multiply the last term by 2.5. What is the value of the next term?

Mathematics
1 answer:
nirvana33 [79]3 years ago
6 0
<h3><u>Question:</u></h3>

"To get the next term in the sequence,multiply the last term by 2.5 . What is the value of the next term?

1 , 2.5 , 6.25, 15.625, ..."

<h3><u>Answer:</u></h3>

The value of the next term is 39.0625

<h3><u>Solution:</u></h3>

Given that the series is 1 , 2.5 , 6.25, 15.625

When we divide 2nd term by first we get 2.5 , similarly for other successive number when we divide them with their preceding number we get a value of 2.5

So, all the successive numbers are 2.5 times of their previous number  

1 \times 2.5 = 2.5\\\\2.5 \times 2.5 = 6.25\\\\6.25 \times 2.5 = 15.625\\\\15.625 \times 2.5 = 39.0625

So the value of next term is 39.0625

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Answer:

254.5 in.^2

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8 0
2 years ago
Katya treated everyone in theater to a pizza party. She bought 12 pizzas and six 2-liters of soda. The bill was $137.64 (before
sweet-ann [11.9K]

let the price of pizza and soda( per 2 litre bottle) be x and y

from 1st condition

12x+2y=137.6.....(1)

from 2nd condition

x+y =11.95.......(2)

multiply eq. (2) by 2

2x+2y=23.9.....(3)

subtracting (1) and (3)

12x+2y=137.6

2x+2y= 23.9

10x = 113.7

x=113.7/10

x=11.37

2(11.37)+2y=23.9

22.74+2y=23.9

2y=23.9-22.7

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4 0
2 years ago
1.What are the zeros of the polynomial function?
Lorico [155]
Let's to the first example:

f(x) = x^2 + 9x + 20

Ussing the formula of basckara

a = 1
b = 9
c = 20

Delta = b^2 - 4ac

Delta = 9^2 - 4.(1).(20)

Delta = 81 - 80

Delta = 1

x = [ -b +/- √(Delta) ]/2a

Replacing the data:

x = [ -9 +/- √1 ]/2

x' = (-9 -1)/2 <=> - 5

Or

x" = (-9+1)/2 <=> - 4
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Already the second example:

f(x) = x^2 -4x -60

Ussing the formula of basckara again

a = 1
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c = -60

Delta = b^2 -4ac

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Delta = 16 + 240

Delta = 256

Then, following:

x = [ -b +/- √(Delta)]/2a

Replacing the information

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Or

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Now we are going to the 3 example

x^2 + 24 = 14x

Isolating 14x , but changing the sinal positive to negative

x^2 - 14x + 24 = 0

Now we can to apply the formula of basckara

a = 1
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Delta = b^2 -4ac

Delta = (-14)^2 -4.(1).(24)

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Or

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Delta = b^2 -4ac

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Delta = 289

Then we are going to stay:

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Or

x = (1+17)/2 <=> 9


Well, this would be your answers.


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3 years ago
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