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makkiz [27]
3 years ago
13

Joseph wants to buy a new tennis

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
8 0

Answer:

<em>The shop made a profit about $40.</em>

<em>Step-by-step explanation:</em>

<em>Now, According to the question We know that :</em>

<em>The shop marked the $200 price up by 60%.</em>

<em>60% of $200 is = $120. </em>

<em>Now, the price  is = $320 because, 200 + 120 = 320. </em>

<em />

<em>Joseph bought the tennis racket at 25% off.</em>

<em>25% of $320  is = $80.</em>

<em>Now, the discount price is = $240 Because, 320 - 80 = 240.</em>

<em />

<em>So, Joseph bought the racket for = $240.</em>

<em />

<em>Now we know that the original price from the factory was $200.</em>

<em>Joseph bought it for $240.</em>

<em>So, the shop made a profit of $40.</em>

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Then by Fundamental principle of counting , we have

The number of different sound systems can he​ advertise = (Number of different CD​ players)x (Number of different receivers) x(Number of  different speakers)

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1 1/3 x 1 4/9 the product is
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Consider the graph of the line y = x – 4 and the point (−4, 2).
Hitman42 [59]

Answer:

a. The slope  of a line parallel to the given line is 1

b. A point on the line parallel to the given line, passing through (−4, 2), is  (1,7)

c. The slope of the line perpendicular to the given line is -1

d. A point on the line perpendicular to the given line, passing through (−4, 2), is (3,-5)

Step-by-step explanation:

The equation of the line in Slope-intercept form  is:

y=mx+b

Where m is the slope and b is the y-intercept.

a. For the line y = x - 4

You can identify that:

m=1

 By definition, two lines are parallel if they have the same slope. Then, the  slope of a line parallel to the given line is:

m=1

b. The equation of the line in Point-slope form is:

y -y_1 = m(x - x_1)

Where m is the slope and (x_1,y_1)  is a point of the line.

Given the point (-4,2), substitute this point and the slope of the line into the equation:

 y -2 = (x +4)

Give a value to "x", substitute it into this equation and solve for "y":

For x=1 :

y -2 = (1 +4)

y= 5+2

y= 7

Then, you get the point (1,7)

c. The slopes of perpendicular lines are negative reciprocals, then the  slope of a line perpendicular to the given line is:

m=-\frac{1}{1}\\\\m=-1

d. Given the point (-4,2), substitute this point and the slope of the line into the equation:

 y -2 = -1(x +4)

 y -2 = -(x +4)

Give a value to "x", substitute it into this equation and solve for "y":

For x=3 :

y -2 = -(3 +4)

y= -7+2

y= -5

Then, you get the point (3,-5)

8 0
3 years ago
Algebra 1 :
victus00 [196]

What we have been given here are two points.

f(3) = -4 is the same as (3, -4)

f(2) = 6 is the same as (2, 6)

We can then use these two points to find the equation of a line.

Step 1: Find the slope

Slope Formula: (y2 - y1) / (x2 - x1)

Slope = (6 - - 4) / (2 - 3) = (10) / (-1) = -10

Step 2: Find the y-intercept

To find the y-intercept, we'll take our slope and one of our points and plug them into slope-intercept form, then solve for b.

Slope-Intercept Form: y = mx + b

Point = (2, 6)

6 = 2(-10) + b

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b = 26

Step 3: Create the equation of the line

Now that we have the slope and y-intercept, all that's left to do is plug both of those values into slope-intercept form.

y = -10x + 26

Answer: y = -10x + 26

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