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2 years ago

What is the equation of the following direct variation?

Mathematics

1 answer:

balandron [24]2 years ago

4 0

Answer:

y = -2x

Step-by-step explanation:

A "direct variation" relationship has the form y = kx, where k is the "constant of proportionality.

Note that this graph goes thru the origin (which it must, to represent direct variation), and that it has a steep negative slope. That narrows down the answer choice to the first one: y = -2x.

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Find the solution of this system of equations. separate the x and y values.<br> x=2+y<br> -6x-6y=-12

Shkiper50 [21]

{x=2+y
{-6x-6y=-12

-6(2+y) -6y = -12
-12 - 6y - 6y = -12
-12y = -12 + 12
-12y = 0
y = 0

x = 2 + y = 2 + 0 = 2

Answer: x=2, y=0

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2 years ago

Variables x and y are in direct proportion, and y = 35 when x = 2m. If x = 8m, then y =

Dmitry [639]

Y=140 because U have to go 35 divided by 2 and 8 times 17.5

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2 years ago

Read 2 more answers

10. Simplify the rational expression by rationalizing the denominator. 3 sqrt 160/sqrt 1350x A) 2 sqrt 15x/15x B) 3 sqrt 160/135

Viefleur [7K]

The simplified expression by rationalizing the denominator is (C) $\frac{4 \sqrt{15x} }{15x}$ .

First we must simplify the expression:
$\frac{3 \sqrt{160} }{\sqrt{1350x} } = \frac{12 \sqrt{10} }{15 \sqrt{6x} } = \frac{4 \sqrt{10} }{5 \sqrt{6x} }$

Then we factor the rational parts and cancel it out:
$\frac{4 \sqrt{2} \sqrt{5} }{5 \sqrt{2} \sqrt{3x} } = \frac{4\sqrt{5} }{5\sqrt{3x} }$

Then we rationalize the expression:
$\frac{4\sqrt{5} }{5\sqrt{3x} } * \frac{\sqrt{3x} }{\sqrt{3x} } = \frac{4 \sqrt{15x} }{5*3x} = \frac{4 \sqrt{15x} }{15x}$

<span>Finally, the simplified expression by rationalizing the denominator is (C) $\frac{4 \sqrt{15x} }{15x}$ .</span>

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2 years ago

Find the value of x. A. 0 B. 3 C.4 D. 12.

aleksandrvk [35]

Answer:

B = 3

Step-by-step explanation:

3x + 15 = 4x + 12

= 15-12=4x-3x

= 3 = x

X = 3

8 0

2 years ago

FIND THE NUMBER OF SUBSETS FOR SET

Ira Lisetskai [31]

Answer:

a) 8 subsets

b) 32 subsets

Step-by-step explanation:

The total number of subset of a set is known as the power of the set

Power of a set is expressed as;

P = 2^n

n is the number of element in the set

a) For a set containing 3 elements

n = 3

Power of the set = 2³

Power of the set is 8

This means that the set contains 8 different subsets

b) Cardinality of a set is the total number of element in the set

If the cardinal number of a set is 5, this means that the set contains 5elements

Hence the power of the set will be;

P = 2^5

P = 32

Hence the total number of subset for set whose cardinal number is 5 is 32

4 0

2 years ago