All categories

3 years ago

If y varies inversely as x, and y = 5 as x = -2, find y for the x-value of 3.

2 answers:

6 0

Since y varies inversely to x
xy = k
so 5*-2 = -10

plug x and k into xy = k

-10 = 3y
divide both sides with 3
y = -10/3 or -3.3333

sergiy2304 [10]3 years ago

5 0

Y varies inversly as x means
y=k/x

k is constantt
find k

so
5=k/-2
times -2 both sides
-10=k

y=-10/x

when x=3

y=-10/3

You might be interested in

1. Rewrite the expression. Use an exponent, rather than repeated multiplication. (–4)(–4)

AlekseyPX

-4^2 is the same as -4*-4

-4*-4=16

-4^2= 16

-4^2 is the exponent.

I hope this helps!
~kaikers

4 0

2 years ago

The quadratic formula gives which roots for the equation 2x^2 + x - 6 = 0?

Jet001 [13]

Answer:

The roots are $x = (\frac{3}{2}, -2)$ , which is given by option C.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}$

$\Delta = b^{2} - 4ac$

In this question, we have that:

$2x^2 + x - 6 = 0$

Which is a quadratic equation with $a = 2, b = 1, c = -6$ . So

$\Delta = 1^{2} - 4*2(-6) = 1 + 48 = 49$

$x_{1} = \frac{-1 + \sqrt{49}}{2*2} = \frac{6}{4} = \frac{3}{2}$

$x_{2} = \frac{-1 - \sqrt{49}}{2*2} = \frac{-8}{4} = -2$

So the roots are $x = (\frac{3}{2}, -2)$ , which is given by option C.

3 0

2 years ago

Ginny earned $49.50 for 6 hours of gardening and $38.60 for 4 hours of babysitting. For which job did she earn more money per ho

Reil [10]

Well you first need to multiply 49.50 times 6 which equals $297. Then $ 38.60 times 4 which equals $154.4. Ginny earned more money for gardening. She got $161.6 more money than in babysitting. I answered this by multiplying the money and hours. And also to see how much more I added the amounts of money for each job Ginny Works for if I did this wrong plz tell me

7 0

2 years ago

Change the order or grouping to find sum, explain how you used properties to find sum. 63+86+77

ZanzabumX [31]

63+86+77 it =s 226 so thank you for asking am only 9 am in 4 grade its easy look it up on the calculator but I did not use it believe me

6 0

2 years ago

A pair of shoes is on sale for 30% off. The original price is p. Which expression can be used to find the price of the shoes aft

Sidana [21]

The correct option is b which is 0.70p.

Given to us,

original price of shoes = p,