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Neporo4naja [7]
3 years ago
6

Find b and s. At The present time Mrs. B's age is six years more than four times her sons age. Three years ago she was seven tim

es as old as her son was then
Mathematics
1 answer:
padilas [110]3 years ago
6 0

Answer:

Mrs. B's age = y = 38 years

her son's age = x = 8 years

Step-by-step explanation:

To Find:

Mrs. B's age = y =?

her son's age = x = ?

Solution:

Let Mrs. B's age  be 'y' years

and her son's age be 'x' years

Three years ago Mrs B's will be (y - 3) and her son's age will be (x - 3)

According to the first given condition,

y = 6 + 4x ...............Equation ( 1 )

According to the second given condition,

(y - 3 ) = 7 (x - 3 )..........Equation ( 2 )

equating equation 1 in equation 2 we get

6 + 4x -3 = 7x - 21

7x - 4x = 21 + 3

∴ 3x=24\\\therefore x =\frac{24}{3} \\\\\therefore x =8\ years

Now substitute x in equation 1 we get

y = 6 + 4×8

y = 6 + 32

∴ y = 38 years

Mrs. B's age = y = 38 years

her son's age = x = 8 years

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3 years ago
Homer wants to identify the center and radius of the circle defined by the equation...​
Goryan [66]

Answer:

Step 2, he didn't add the values he completed the square with to both sides.

Step-by-step explanation:

When you complete the square, you need to add the values to both sides, not just one.

So when Homer added 49 + 1 or 50 to the left side of the equation, he should've also added 50 to the right side of the equation.

Hence, the equation would now be :

(x-7)^2 + (y+1)^2 = 75

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3 years ago
Part 1. Using the two functions listed below, insert numbers in place of the letters a, b, c, and d so that f(x) and g(x) are in
dem82 [27]

There is no b unfortunately

Find inverse of x+a

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interchAnge

  • y+a=x
  • y=x-a

Inverse is

  • f^{-1}x=x-a

Now

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So

You can have any number according to this but

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5 0
2 years ago
Please consider the following values for the variables X and Y. Treat each row as a pair of scores for the variables X and Y (wi
Studentka2010 [4]

Answer:

The Pearson's coefficient of correlation between the is 0.700.

Step-by-step explanation:

The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.

The formula to compute correlation between two variables <em>X</em> and <em>Y</em> is:

r(X, Y)=\frac{Cov(X, Y)}{\sqrt{V(X)\cdot V(Y)}}

The formula to compute covariance is:

Cov(X, Y)=n\cdot \sum XY-\sum X \cdot\sum Y

The formula to compute the variances are:

V(X)=n\cdot\sum X^{2}-(\sum X)^{2}\\V(Y)=n\cdot\sum Y^{2}-(\sum Y)^{2}

Consider the table attached below.

Compute the covariance as follows:

Cov(X, Y)=n\cdot \sum XY-\sum X \cdot\sum Y

                 =(5\times 165)-(30\times 25)\\=75

Thus, the covariance is 75.

Compute the variance of X and Y as follows:

V(X)=n\cdot\sum X^{2}-(\sum X)^{2}\\=(5\times 226)-(30)^{2}\\=230\\\\V(Y)=n\cdot\sum Y^{2}-(\sum Y)^{2}\\=(5\times 135)-(25)^{2}\\=50

Compute the correlation coefficient as follows:

r(X, Y)=\frac{Cov(X, Y)}{\sqrt{V(X)\cdot V(Y)}}

            =\frac{75}{\sqrt{230\times 50}}

            =0.69937\\\approx0.70

Thus, the Pearson's coefficient of correlation between the is 0.700.

5 0
3 years ago
How to solve 2(x+7)=-4x+14
Temka [501]

Answer:

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Step-by-step explanation:

8 0
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