What is the constant of proportionality in the equation y =2.5xy=2.5 xy

Mathematics

2 answers:

Inessa [10]3 years ago

8 0

What is the constant of proportionality in the equation y =2.5x

2.5

kenny6666 [7]3 years ago

5 0

Answer: 2.5

Step-by-step explanation:

We know that the constant of proportionality is the ratio between two directly proportional quantities.

The equation of direct variation between two quantities x and y is given by :-

$y=kx$ , where k is the constant of proportionality,

The given equation : - $y =2.5xy$

When we compare to the general direct variation equation , we get

$k=2.5$

hence, the constant of proportionality in the equation 2.5

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Factor the expression -24x -30

morpeh [17]

Answer:

-6(4x+5)

Step-by-step explanation:

-24 = -6 * 4

-30 = -6 * 5

6 is a common factor of both 24 and 30.

-6(4x) = -24x

-6(5) = -30

6 0

3 years ago

Read 2 more answers

OOOO

lbvjy [14]

Step-by-step explanation:

Given bi-quadratic equation is:

$x^4+95x^2 -500=0$

Substituting $x^2=a,$ given bi-quadratic equation reduces in the form of following quadratic equation:

$a^2 +95a -500=0\\$

Let us factorize the above quadratic equation:

$a^2 +95a -500=0\\\therefore\: a^2 +100a -5a-500=0\\\therefore\: a(a +100) -5(a+100)=0\\\therefore\: (a +100)(a -5)=0\\\therefore\: (a +100)=0\:\: or \:\: (a -5)=0\\\therefore\: a = - 100\:\: or \:\: a = 5\\\\CASE\: (1)\:\\When\: a = - 100 \implies x^2 = - 100\\\therefore x=\pm \sqrt{-100}\\$