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2 years ago

What is the x intercept for y=(2x(x-3))/(x-1). ?

Mathematics

1 answer:

Ainat [17]2 years ago

5 0

Answer:

( 0,0) and (3,0)

Step-by-step explanation:

y=(2x(x-3))/(x-1)

Set y = 0

0 =(2x(x-3))/(x-1)

Multiply each side by x-1, which makes x not equal to 1

0 =(2x(x-3))

Using the zero product property

2x=0 x-3 =0

x=0 x= 3

The x intercepts are x=0 x= 3

( 0,0) and (3,0)

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a norman window has the shape of a rectangle surmounted by a semicircle. if the perimeter of the window is 25 feet, express the

sp2606 [1]

The area of the window is $\frac{25x}{2} -(1 +\frac{\pi}{2} )\frac{x^2}{2}$

The shape of the Norman window is described as a rectangle surmounted by a semicircle.

Let 'x' be the width of the window.

Then this width corresponds to the diameter of the semicircle.

That is, radius of the semicircle = x/2

Now given the perimeter of the whole window = 25 ft

This perimeter is equal to the sum of 3 sides of the rectangle and the perimeter of the semicircle.

Perimeter of the semicircle = $\frac{2\pi r}{2} = \frac{\pi x}{2}$ , where r is the radius of the semicircle.

Now let 'y' be the length of the window.

Then sum of three sides of the window = 2y + x

So 2y + x + $\frac{\pi x}{2}$ = 25

Therefore, $y =( 25 - x - \frac{\pi x}{2} ) / 2$

Area of the window = Area of the semicircle + Area of the rectangle =

$\frac{\pi x^2}{8} +xy = \frac{\pi x^2}{8} + x( 25 - x - \frac{\pi x}{2} ) / 2\\ = \frac{\pi x^2}{8} + (25x - x^2 - \frac{\pi x^2}{2} ) / 2$

So Area of the window = $\frac{25x}{2} -(1 +\frac{\pi}{2} )\frac{x^2}{2}$

Learn more about area of circle and rectangle at brainly.com/question/4694841

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7 0

1 year ago

Someone help me please

Studentka2010 [4]

Step-by-step explanation:

The slope of the line passing through two points is given by,

$\frac{y2 - y1}{x2 - x1}$

13)

$\frac{(0 - y)}{(0 - 2)} = (\frac{ - 3}{2} )$

$\frac{ - y}{ - 2} = \frac{ - 3}{2}$

$y = - 3$

option D

14)

$\frac{ ( - 3 - y)}{(1 + 5)} = \frac{ - 1}{6}$

$\frac{ - 3 - y}{6} = \frac{ - 1}{6}$

$- 3 - y = - 1$

$- y = - 1 + 3 = 2$

$y = - 2$

option C

15)

$\frac{(y - 4)}{( - 5 + 1)} = \frac{1}{4}$

$\frac{y - 4}{ - 4} = \frac{1}{4}$

$- y + 4 = 1$

$- y = 1 - 4 = - 3$

$y = 3$

option B

16)

$\frac{(y + 3)}{( - 4 - 3)} = \frac{ - 3}{7}$

$- (y + 3) = - 3$

$y = 3 - 3 = 0$

option C

4 0

2 years ago

Solve the inequality and express the answer in interval notation

8_murik_8 [283]

Answer:

Step-by-step explanation:

6 0

2 years ago

In 1995, Derek Jeter's batting average was 0.250; in 1996, his batting average was 0.314. David Justice's batting average in 199

belka [17]

Answer:

The correct option is;

Simpson Paradox

Step-by-step explanation:

The phenomenon whereby particular trends are prevalent in small data portions but are not evident or an inverse trend is observe when the portions are joined together is known as Simpson's paradox.

Whereby the data for calculating the bating averages as found online are given as follows;

Season, Derek Jeter David Justice

1995, 12/48 = 0.250 104/411 ≈ 0.253

1996, 183/582 ≈ 0.314 45/140 ≈ 0.321

The overall hits to the overall bats ratio are;

, (183 + 12)/(582 + 48) ≈0.310 (104+45)/(411+140) = 0.27

Which shows that Derek Jeter's overall average was better than Justice's average

7 0

2 years ago

If you found the percent of a number and the product is greater than the number, whatvdo you know about the percent? Explain.

Ganezh [65]

The percent of said number must be over 100% because 100% is the whole value of a number

Ex:
105% of 20 is 21 because, 100% of 20 is 20 and 5% of 20 is 1
150% of 20 is 30 because, 100% of 20 is 20 and 50% of 20 is 10

Hope this helps

5 0

3 years ago