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3 years ago

Y varies inversely with x. When x = 3 then y = 5. Write an equation to represent this relationship.

Mathematics

2 answers:

Colt1911 [192]3 years ago

8 0

Answer:

Step-by-step explanation:

y ∞ 1/x

y = k/x

Where k is the constant of proportionality

When x = 3 and y = 5

5 = k/3

Cross multiply

k = 5×3

k = 15

The equation is y = 15/x

slavikrds [6]3 years ago

4 0

Answer:

X=6

Step-by-step explanation:

You might be interested in

Which expression is equivalent to -32 to 3/5 power

levacccp [35]

Answer:

Step-by-step explanation:

We are given the following expression and we are to find the simplest form of this expression:

$- 3 2 ^ { \frac { 3 } { 5 } }$

First of all, we will factor the coefficient:

$3 2 = 2 ^ 5$

Rewriting it as:

$- ( 2 ^ 5 ) ^ { \frac { 3 } { 5 } }$

Applying the exponent rule $(a^b)^c = a^{bc}$ to get:

$-2^{5.\frac{3}{5}}=-2^3$

$-2^3=-8$

6 0

3 years ago

I just need an explanation on why I was wrong and why the correct answer is correct

Alja [10]

Answer:

B 1

Step-by-step explanation:

Since the divisor is in the form of x - c, use what is called Synthetic Division. Remember, in this formula, -c gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:

2| -2 1 5 0 4 1

↓ -4 -6 -2 -4 0

_________________

-2 -3 -1 -2 0 1→ -2x⁴ - 3x³ - x² -2x + [x - 2]⁻¹

You start by placing the c in the top left corner, then list all the coefficients of your dividend [-2x⁵ + x⁴ + 5x³ + 4x + 1]. You bring down the original term closest to c then begin your multiplication. Now depending on what symbol your result is, tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that -2 in your quotient can be a -2x⁴, and the -3 [x³] follows right behind it, then 1 [-x²], -2[x], and finally, [1\x - 2] (remainder is 1, so set it over your denominator, which is the divisor), giving you the other factor of -2x⁴ - 3x³ - x² -2x + [x - 2]⁻¹.

I am joyous to assist you anytime.

** $(x - 2)^{-1} = \frac{1}{x - 2}$