All categories

1 year 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]1 year 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

If n = 5 and r = 3 Find "Cr.

Marat540 [252]

Answer:

Cr = 10

Step-by-step explanation:

To calculate combinations we use the nCr formula: nCr = n! / r! * (n - r)!, where n = number of items, and r = number of items being chosen at a time.

$C(n,r)=[?]$

$C(n,r)=C(5,3)$

$=\frac{5}{(3!(5-3)!)}$

$=\frac{5!}{3!*2!}$

$=10$

[RevyBreeze]

3 0

2 years ago

Read 2 more answers

A toy manufacturer wants to know how many new toys children buy each year. A sample of 1492 children was taken to study their pu

julia-pushkina [17]

By assuming the standard deviation of population 2.2 the confidence interval is 8.67 toys,8.94 toys.

Given sample size of 1492 children,99% confidence interval , sample mean of 8.8, population standard deviation=2.2.

This type of problems can be solved through z test and in z test we have to first find the z score and then p value from normal distribution table.

First we have to find the value of α which can be calculated as under:

α=(1-0.99)/2=0.005

p=1-0.005=0.995

corresponding z value will be 2.575 for p=0.995 .

Margin of error=z*x/d

where x is mean and d is standard deviation.

M=2.575*2.2/ $\sqrt{1492}$

=0.14

So the lower value will be x-M

=8.8-0.14

=8.66

=8.67 ( after rounding)

The upper value will be x+M

=8.8+0.14

=8.94

Hence the confidence interval will be 8.67 toys and 8.94 toys.

Learn more about z test at brainly.com/question/14453510

#SPJ4

8 0

1 year ago

Could you please explain it?

Troyanec [42]

Hello,
there are some words that I could not read. But:
I support evements are independants.
p(s)=0.2
p(l)=1-0.2=0.8 l=lose

1)0.8*0.2=0.16

2) 0.8²*0.2=0.128

3) 0.8^3*0.2=0.1024

4) 0.2*0.8^(n-1)

6 0

3 years ago

The value of the x-intercept for the graph of 4x-5y=40 is

Alik [6]

$\hbox{x-intercept - y=0}: \\
4x-5 \times 0=40 \\
4x=40 \\
x=\frac{40}{4} \\
\boxed{x=10}$