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Sloan [31]
3 years ago
5

Assume y varies directly with x. when y=2 2/3 when x=1/4, what is y when x=1 1/8? NEED HELP QUICK!!

Mathematics
1 answer:
snow_tiger [21]3 years ago
7 0

3y=8x

Explanation:

If y varies directly with x then

y=c⋅x for some constant of variation c

If (x,y)=(14,23) is a solution to this equation, then

23=c⋅14

→c=23⋅41=83

So

y=83x

or (clearing the fraction)

3y=8x

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What is the nth term of the sequence -2 -8 -18 -32 -50
andreev551 [17]

Answer:

-2n²

Step-by-step explanation:

Using the image attached:
We see that the second differences (blue ones) are all equal so we conclude that this is a quadratic sequence.
The quadratic sequence has the form:
T_{n} = an^{2}  +bn +c

To find the value of a we just divide second difference ( -4 ) by 2:

  • a = \frac{-4}{2}= -2

Now we have:

  • T_{n}= -2n^{2}  +bn+c

Substitute n_{1} and n_{2} into the equation above:

  • T_{1} = -2(1)^{2}  +b(1) +c
  • T_{2} = -2(2)^{2}  +b(2)+c

Since T_{1} = -2 and T_{2} = -8 , after simplification we have:

  • b +c =0
  • 2b+c=0

The solution of this system is:

  • b=0, c =0

The general term is :

T_{n} = -2n^{2}

6 0
2 years ago
Help ASAP Please. Working on this now. Look at picture for question and answer A, B, C​
Reika [66]

Answer:

look at step by step

Step-by-step explanation:

A) That is the number of bacteria that originally started in the culture

B) That is the rate at which the bacteria will reproduce

C) 1000 represents the number of bacteria at the beginning of the second culture.

The first study started with more bacteria, and will grow faster because of this

5 0
3 years ago
Thirteen percent of the profits from Kendall’s business are donated to charities.write and solve an equation to find out how muc
pychu [463]

The amount given to charity from Kendall’s profit is $168.0146

Given:

  • Kendall’s profit = $1292.42
  • Percentage given to charity = 13%

<h3>How to find percentage</h3>

Amount given to charity = Percentage given to charity × Kendall’s profit

= 13% of $1292.42

= 13/100 × 1292.42

= 0.13 × 1292.42

= $168.0146

Therefore, the amount given to charity from Kendall’s profit is $168.0146

Learn more about percentage:

brainly.com/question/843074

5 0
2 years ago
Please help!!! Evaluate the following expression.<br><br> 10 x (-9 x (-6))
finlep [7]

Answer: 540

Step-by-step explanation:

To solve this expression, we use PEMDAS to solve it.

-9*-6= 54

54*10=540

3 0
2 years ago
Read 2 more answers
What is the middle splitting term
8090 [49]

Answer:

In Quadratic Factorization using Splitting of Middle Term which is x term is the sum of two factors and product equal to last term. To Factor the form :ax 2 + bx + c. Factor : 6x 2 + 19x + 10. 1) Find the product of 1st and last term( a x c).

Step-by-step explanation:

I hope that helped you!! sorry if not!!

8 0
3 years ago
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