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3 years ago

If y varies inversely as x, and y=10 when x=2, find y when x=8

Mathematics

2 answers:

snow_lady [41]3 years ago

5 0

If it varies inversely, then their product is the same. So,
10*2 = y*8
20 = y*8
/8 /8
5/2 = y
y = 2.5

dedylja [7]3 years ago

4 0

$\bf \qquad \qquad \textit{inverse proportional variation}\\\\
\textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\textit{we also know that }
\begin{cases}
y=10\\
x=2
\end{cases}\implies 10=k2\implies \cfrac{10}{2}=k\implies 5=k
\\\\\\
therefore\qquad \boxed{y=\cfrac{5}{x}}
\\\\\\
\textit{when x = 8, what is \underline{y}?}\qquad y=\cfrac{5}{8}$

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2 years ago

Based on a survey, assume that % of consumers are comfortable having drones deliver their purchases. Suppose that we want to f

n200080 [17]

Answer and Step-by-step explanation:

Solution:

Given:

Assume that 46% of consumers are comfortable to deliver their purchase.

Five consumers randomly selected.

Exactly three of them are comfortable with delivery by drones.

Identify the value of n, x, p?

Probability of success on any one trial = 46% = 0.46

Probability of failure on any trial = q = 1-p

= 1- 0.46

= 0.54

The number of trial = n = 5

The number of comfortable consumers =x = 3

n represent the number of subject included.in this question, there are five consumers randomly selected.

X represents the number of success. In question, there are exactly three consumers that are comfortable with delivery by drones.

P represents the probability of success, and q represent the probability of failure.

Hence,

n = 5

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3 years ago

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______________________

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2 years ago

Find the value of x so that the function has the given value

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Answer:

Step-by-step explanation:

We are looking for the value of x so that the function has the given value in the following:

1) h(x) = -7x; h(x)=63

From the function given above,

If h(x) = 63, then,

h(x) = 63 = -7x

-7x = 63

Dividing the left hand side and right hand side of the equation by -7, it becomes

-7x/-7 = 63/-7

x = - 9

2) m(x) = 4x + 15; m(x)=7

From the function given above,

If m(x) = 7, then,

m(x) = 7 = 4x + 15

7 = 4x + 15

4x = 15 - 7 = 8

Dividing the left hand side and right hand side of the equation by 4, it becomes

4x/4 = 8/4

x = 2

3) q(x) = 1/2x - 3; q(x) = -4

From the function given above,

If q(x) = - 4, then,

q(x) = - 4 = 1/(2x - 3) =

Cross multiplying,

-4(2x-3) = 1

-8x +12 = 1

Collecting like terms,

-8x = 1 - 12

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Dividing the left hand side and right hand side of the equation by -8, it becomes

-8x/8 = -11/-8

x = 11/8

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3 years ago

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Answer:

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3 years ago