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lina2011 [118]
3 years ago
7

Please, please, please, please help

Mathematics
1 answer:
Alexeev081 [22]3 years ago
6 0

Answer:

27

Step-by-step explanation:

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Line m passes through the points (-4, 3) and (-4, 7). What is the slope of the line that is parallel to line m?
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Gradient=rise/run=y2-y1/x2-x1

= 7-3(4)/-4--4(0)

As you can't divide by zero the line's equation is x=-4 so it doesn't have a gradient as such. However, a parallel line would be the y-axis
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3 years ago
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Regard y as the independent variable and x as the dependent variable and use implicit differentiation to find dx/dy. x5y2 − x4y
il63 [147K]

Answer:

dx/dy =  (x^4 -  2x^5y -  6xy^2) /  (5x^4y^2 - 4x^3y +  2y^3).

Step-by-step explanation:

x^5y^2 − x^4y + 2xy^3 = 0

Applying the Product and Chain Rules:

y^2*5x^4*dx/dy + 2y*x^5 - (y*4x^3*dx/dy + x^4) + (y^3* 2*dx/dy + 3y^2*2x) =0

Separating the terms with derivatives:

y^2*5x^4*dx/dy - y*4x^3*dx/dy + y^3* 2*dx/dy =  x^4 -  2y*x^5 -  3y^2*2x

dx/dy =  (x^4 -  2x^5y -  6xy^2) /  (5x^4y^2 - 4x^3y +  2y^3)

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3 years ago
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8.91 divided by 5 dividing with decimal
myrzilka [38]

Answer:

1.782

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(b) A department store has 7,000 charge accounts. The comptroller takes a random sample of 36 of
galben [10]

Answer:

a.0.8664

b. 0.23753

c. 0.15866

Step-by-step explanation:

The comptroller takes a random sample of 36 of the account balances and calculates the standard deviation to be N42.00. If the actual mean (1) of the account balances is N175.00, what is the probability that the sample mean would be between

a. N164.50 and N185.50?

b. greater than N180.00?

c. less than N168.00?

We solve the above question using z score formula

z = (x-μ)/σ/√n where

x is the raw score,

μ is the population mean = N175

σ is the population standard deviation = N42

n is random number of sample = 36

a. Between N164.50 and N185.50?

For x = N 164.50

z = 164.50 - 175/42 /√36

z = -1.5

Probability value from Z-Table:

P(x = 164.50) = 0.066807

For x = N185.50

z = 185.50 - 175/42 /√36

z =1.5

Probability value from Z-Table:

P(x=185.50) = 0.93319

Hence:

P(x = 185.50) - P(x =164.50)

= 0.93319 - 0.066807

= 0.866383

Approximately = 0.8664

b. greater than N180.00?

x > N 180

Hence:

z = 180 - 175/42 /√36

z = 5/42/6

z = 5/7

= 0.71429

Probability value from Z-Table:

P(x<180) = 0.76247

P(x>180) = 1 - P(x<180) = 0.23753

c. less than N168.00?

x < N168.

z = 168 - 175/42 /√36

z = -7/42/6

z = -7/7

z = -1

Probability value from Z-Table:

P(x<168) = 0.15866

4 0
3 years ago
The function f(x) = 7x-m/2-nx, find the values of m and n such that the vertical asymptote is x=6, and the x-intercept is 5.
Reil [10]
The function is f(x)= (7x-m)/(2-nx)
<span>the vertical asymptote is x=6, that means 2/n = 6 or n=1/3
</span>
And now, we have f(x)=(7x-m):(2-1/3x)= (14x-2m): (6-x)

<span>the x-intercept is 5 and we have y=0, x=5. So we obtain 0=(70-2m):(6-5)
or 70-2m=0, m=35

Conclusion m=35 and n=1/3</span>
7 0
4 years ago
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