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Fofino [41]
3 years ago
5

Given y varies directly as x, use the given x-value and y-value to find an equation that relates x and y. x = 24 and y = 360

Mathematics
2 answers:
8090 [49]3 years ago
7 0

Answer:

y=15x

Step-by-step explanation:

We are asked to find the equation for given quantities, when y varies directly as x.

We know that the equation of two proportional quantities are in form y=kx, where k represents constant of proportionality.

Let us find constant of proportionality by substituting x=24 and y=360 in above equation.

360=24k

\frac{360}{24}=\frac{24k}{24}

15=k

Therefore, our required equation would be y=15x.

amm18123 years ago
3 0
Y = kx
360 = 24k
k = 15
y = 15x
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uysha [10]

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2 step (A): simplify to obtain the final radical term on one side of the equation.

-2\sqrt{x+3}\cdot \sqrt{2x-1}=4-3x-2,\\ -2\sqrt{x+3}\cdot \sqrt{2x-1}=2-3x,\\ 2\sqrt{x+3}\cdot \sqrt{2x-1}=3x-2.

3 step (F): raise both sides of the equation to the power of 2 again.

(2\sqrt{x+3}\cdot \sqrt{2x-1})^2=(3x-2)^2,\\ 4(x+3)(2x-1)=(3x-2)^2.

4 step (E): simplify to get a quadratic equation.

4(2x^2-x+6x-3)=(3x)^2-2\cdot 3x\cdot 2+2^2,\\ 8x^2+20x-12=9x^2-12x+4,\\ x^2-32x+16=0.

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6 step (C): apply the zero product rule.

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3 0
3 years ago
A die is rolled 20 times. given that three of the rolls came up 1, five came up 2, four came up 3, two came up 4, three came up
Serjik [45]

Solution:

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5 - 3=E

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Answer:

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