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3 years ago

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Mathematics

1 answer:

denis-greek [22]3 years ago

3 0

Answer:

$\boxed{\large\sf y = 3x - 5}$

Step-by-step explanation:

Here we are given a equation which is ,

$\longrightarrow y = 3x + 6$

We need to find out the equation of the line which is parallel to the given line and passes through the given point .

And as we know that the slope of two parallel lines are equal .

On comparing the given equation with slope intercept form (y = mx + c )of the line , we have ,

$\longrightarrow m = 3$

Therefore the slope of the parallel line will be ,

$\longrightarrow m_{||}= 3$

Now we can use the point slope form of the line which is ,

$\longrightarrow y - y_1 = m(x - x_1)$

Substitute ,

$\longrightarrow y - 7 = 3 ( x -4)\\\\\longrightarrow y -7 = 3x -12 \\\\\longrightarrow y = 3x -12+7\\\\\longrightarrow y = 3x -5$

This is the required answer .

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6(8f+10g) + 9g - 4(3g+9f)

Karolina [17]

Answer:84f+57g

Step-by-step explanation:

First, multiply everything in parenthesis.

Multiply the 6 by 8f+10g, and the 4 by 3g+9f.

This gets you 48f+60g+9g-12g+36f.

After that, just solve it like normal.

You get 84f+57g.

8 0

1 year ago

A sociologist recently conducted a survey of senior citizens who have net worths too high to qualify for Medicaid but have no pr

hjlf

Answer:

a) $s= 9.74$

D. 9.74

b) $Median= 74$

B. 74

Step-by-step explanation:

Part a

We have the following dataset given:

69 74 75 62 70 93 64 69 61 88 67 77 87 90 66 91 77 63 82 82 71 74 76 65 83

We can begin calculating the sample mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X = 75.04$

Now we can calculate the sample deviation with the following formula:

$s =\sqrt{\frac{\sum_{i=1}^n (X_i-\bar X)^2}{n-1}}$

And after replace we got:

$s= 9.74$

Part b

For this case we need to sort the value on increasing way:

[1] 61 62 63 64 65 66 67 69 69 70 71 74 74 75 76 77 77 82 82 83 87 88 90 91 93

And the median would be the value in the position 13 and we got:

$Median= 74$

6 0

3 years ago

Awnser pls quickly :)))

Troyanec [42]

Answer:

P': (5,3)

Q': (10,3)

R': (3,10)

Step-by-step explanation:

7 0

2 years ago

Choose all that give the correct expression for the quantity described. The difference of nine times a number x and the quotient

ohaa [14]

Step-by-step explanation:

We are to get the expression for the following statements;

1) The difference of nine times a number x and the quotient of that number and 5.

The product of nine and a number x is expressed as;

$=9 \times x\\= 9x$

The quotient of that number and 5.

$= \frac{x}{5}$

The difference between both expression;

$9x - \frac{x}{5}$

Hence, the difference of nine times a number x and the quotient of that number and 5 is expressed as $9x - \frac{x}{5}$

2) Eight more than the quotient of twelve and a number n

Quotient of twelve and a number n is expressed as:

$\frac{n}{12}$

Eight more than the resulting function is;

$\frac{n}{12}+8$

Hence eight more than the quotient of twelve and a number n is expressed as $\frac{n}{12}+8$

3) The product of a number and the quantity 'six minus the number' plus the quotient of eight and the number.

Let the number be x:

six minus the number is expressed as;

$6-x$

product of a number x and the quantity 'six minus the number is;

$x(6-x)$

quotient of eight and the number is;

$\frac{8}{x}$

Taking the resulting sum of the last two expression

$x(6-x) + 8x$

Hence the product of a number and the quantity 'six minus the number' plus the quotient of eight and the number is expressed as;

$x(6-x) + 8x$

4) Sum of three consecutive even integers. 2x + (2x + 2) + (2x + 4).

Let the first even number be 2x

The consecutive even numbers are gotten by adding 2 to the preceding number. The two consecutive even integers are 2x+2 and 2x+2+2

the sum of three consecutive even integers is expressed as;

$= 2x +(2x+2)+(2x+2+2)\\= 2x+(2x+2)+(2x+4)$

4 0

3 years ago

Draw a point that shows the value of the 2020th dvddvd. label it 1. draw a point that shows the willingness to pay for the 1010t

Elina [12.6K]

Very hard question. .....

6 0

3 years ago

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