All categories

2 years ago

find the coordinates of the point where the graph of the following function intersects the x axis y=x^2-5x+6/x-2

Mathematics

1 answer:

Zina [86]2 years ago

8 0

$\stackrel{\textit{x-intercept occurs when y = 0}}{\stackrel{y}{0}=\cfrac{x^2-5x+6}{x-2}}\implies 0=x^2-5x+6\implies 0=(x-3)(x-2) \\\\\\ x= \begin{cases} 3\\ 2 \end{cases}\qquad \qquad \stackrel{coordinates}{(3~~,~~0)\qquad (2~~,~~0)}$

You might be interested in

Can someone help me with this question in so confused

Svetlanka [38]

Answer:

D(1, 2) → D'(2, 7)

E(-3, -5) → E'(-10, 0)

F(4, -1) → F'(11, 4)

Step-by-step explanation:

D(1, 2) → D' ________

Translate image (3x - 1, y + 5)

(1, 2), x = 1 and y = 2

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

y + 5 = (2) + 5 = 7

E(-3, -5) → E' ________

(-3, -5), x = -3 and y = -5

3x - 1 = 3(-3) - 1 = -9 - 1 = -10

y + 5 = (-5) + 5 = 0

F(4, -1) → F' ________

(4, -1), x = 4 and y = -1

3x - 1 = 3(4) - 1 = 12 - 1 = 11

y + 5 = (-1) + 5 = 4

3 0

1 year ago

Find the area of the shaded region. Please help! Brainliest to who gets it right !

damaskus [11]

0.367 centimeters squared

7 0

3 years ago

Please help See the picture Line A , B , C OR D ? Help

Ne4ueva [31]

Answer:

Step-by-step explanation:

4x + 6y = 28

-15x - 6y = -39

5 0

3 years ago

Read 2 more answers

Which is an equation in point-slope form for the given point and slope?

Kisachek [45]

The point-slope form: $y-y_1=m(x-x_1)$

Q2.

$(1,\ -7)\to x_1=1,\ y_1=-7\\m=1\\\\y-(-7)=1(x-1)\\\\y+7=(x-1)$

Q3.

$(5,\ 9)\to x_1=5,\ y_1=9\\m=2\\\\y-9=2(x-5)$

Q4.

$y=mx+b\\\\(0,\ 1)\to b=1\\\\y=mx+1$

The formula of a slope: $m=\dfrac{x_2-x_1}{y_2-y_1}$

$((-2,\ 4)\to x_1=-2,\ y=4\\(2,\ -2)\to x_2=2,\ y_2=-2\\\\m=\dfrac{-2-4}{2-(-2)}=\dfrac{-6}{4}=-1.5$

$y=-1.5x+1$

8 0

3 years ago

The volume of a cylindrical container

Ray Of Light [21]

Answer:

A. $\frac{3}{4}\textrm{ gal}$

Step-by-step explanation:

Given:

Volume of the cylindrical container before dilation, $V_{i}=1\textrm{ gal}$

Scale factor of the dilation, $SF=\frac{3}{4}$

Therefore, the volume of the dilated cylinder is given as:

$V_{f}=SF\times V_{i}$

Plug in 1 gal for $V_{i}$ and $\frac{3}{4}$ for SF. Solve for $V_{f}$ . This gives,

$V_{f}=\frac{3}{4}\times 1\\V_{f}=\frac{3}{4}\textrm{ gal}$

Therefore, the volume of the dilated cylinder is $\frac{3}{4}$ gallons.

3 0

3 years ago