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3 years ago

If y varies inversely as x and y=3 when x=8 what is x when y=4

Mathematics

1 answer:

I am Lyosha [343]3 years ago

5 0

Answer:

x = 6

Step-by-step explanation:

y varies inversely as x

y = k × 1/x. {where k is a constant}

when y = 3, x = 8

Therefore 3 = k/8 and k is 24

y = 24/x

When y = 4,

4 = 24/x

4x = 24

(dividing both sides by 4)

x = 6

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What is 2 +2 pls in in kider grden pls hepl

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Answer:

Step-by-step explanation:

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2 years ago

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HELP PLZ DUE RN BRAINIEST TO WHOEVER RIGHT

s344n2d4d5 [400]

Answer: x=0.25

Step-by-step explanation: 1−8x=−16x2

Simplify both sides of the equation.

−8x+1=−16x2

Subtract -16x^2 from both sides.

−8x+1−−16x2=−16x2−−16x2

16x2−8x+1=0

16x2+−8x+1=0

Use quadratic formula with a=16, b=-8, c=1.

−b±√b2−4ac

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5 0

3 years ago

Find an m > 0 such that the the equation x^4−(3m+2)x^2+m^2=0 has four real solutions that form an arithmetic sequence.

Aleonysh [2.5K]

Answer:

The value of m is 6.

Step-by-step explanation:

Here, the given equation,

$x^4-(3m+2)x^2+m^2=0$

$x^4+0x^3-(3m+2)x^2+0x+m^2=0$

Let the roots of the equation are a-3b, a-b, a+b and a + 3b, ( they must be form an AP )

Thus, we can write,

$a-3b+a-b+a+b+a+3b=\frac{\text{coefficient of }x^3}{\text{coefficient of }x^4}$

$=\frac{0}{1}=0$

$\implies a=0----(1)$

$(-3b)(-b)+(-b)(b)+(b)(3b)+(3b)(-3b)+(-b)(3b)+(-3b)(b)=\frac{\text{coefficient of }x^2}{\text{coefficient of }x^4}}$

$=\frac{-3m-2}{1}$

$3b^2-b^2+3b^2-9b^2-3b^2-3b^2=-3m-2$

$-10b^2=-3m-2$

$\implies b^2=\frac{3m+2}{10}-----(2)$

$(-3b)(-b)(b)(3b)=\frac{\text{Constant term}}{\text{coefficient of}x^4}= m^2$

$9b^4=m^2$

$9(\frac{3m+2}{10})^2=m^2$

$9(\frac{9m^2+4+12m}{100})=m^2$

$81m^2+36+108m=100m^2$

$-19m^2+108m+36=0$

$19m^2-108m-36=0$

$19m^2-114m+6m-36=0$

$19m(m-6)+6(m-6)=0$

$(19m+6)(m-6)=0$

$\implies m=-\frac{6}{19}\text{ or }m=6$

But m > 0,

Hence, the value of m is 6.

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3 years ago

I’m not sure how to do this

Cerrena [4.2K]

It's b because you have to round up

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3 years ago

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The Delucci family traveled on the highway for two hours at 70 miles per hour, and then three hours at 35 miles per hour. How fa

Zinaida [17]

(2 * 70) + (3 * 35) = 140 + 105 = 245 miles

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3 years ago