All categories

3 years ago

Suppose that y varies inversely with x. Use the information to find k, and then choose the equation of variation. X=2 when y=2

Mathematics

1 answer:

Vlad1618 [11]3 years ago

7 0

Answer:

see explanation

Step-by-step explanation:

Given that y varies inversely as x then the equation relating them is

y = $\frac{k}{x}$ ← k is the constant of variation

To find k use the condition

x = 2 when y = 2

k = yx = 2 × 2 = 4, hence

y = $\frac{4}{x}$ ← equation of variation

You might be interested in

Hey, I need some help with this:

Naya [18.7K]

An inverse operation is writing the opposite sign to another sign

7 0

3 years ago

Read 2 more answers

If x-y=9,x²+y²=27,then xy=?

Tresset [83]

Answer:

xy = - 27

Step-by-step explanation:

Note that

(x - y)² = x² - 2xy + y² ← substitute given values, that is

9² = 27 - 2xy

81 = 27 - 2xy ( subtract 27 from both sides )

54 = - 2xy (divide both sides by - 2 )

- 27 = xy

5 0

3 years ago

If a and b are positive numbers, find the maximum value of f(x) = xa(7 â x)b on the interval 0 â¤ x â¤ 7.

algol [13]

Given $f(x)=x^a(7-x)^b$ on the interval 0 ≤ x ≤ 7, for maximum value, f'(x) = 0.

$f'(x)=0 \\ \\ \Rightarrow -bx^{a}(7-x)^{b-1}+ax^{a-1}(7-x)^b=0 \\ \\ \Rightarrow ax^{a-1}(7-x)^b=bx^{a}(7-x)^{b-1} \\ \\ \Rightarrow a(7-x)=bx \\ \\ \Rightarrow (a+b)x=7a \\ \\ \Rightarrow x= \frac{7a}{a+b}$

8 0

3 years ago

Use the set of data to answer the question,

Andre45 [30]

Answer:

Step-by-step explanation:

7 0

3 years ago

Please help me as soon as possible<br> 10 points

kykrilka [37]

I think perpendicular to base hope its right

6 0

3 years ago

Read 2 more answers