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zysi [14]
2 years ago
8

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)}

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Raven has walked 20 miles and is walking 4 miles every hour. Yuri has walked 10 miles
Arturiano [62]

Answer:

20+4x=10+2x

Step-by-step explanation:

7 0
3 years ago
Phyllis invested $11,000, a portion earning a simple interest rate of
NeTakaya

Answer:

First = 1000

Second = 10,000

Step-by-step explanation:

Given the following :

Amount invested = $11,000

A portion earns 2 1/2 % interest per year

The rest earns a rate of 2% per year

Total Interst earned after a year = $255

Amount invested at each rate

Let amount invested at 2 1/2% = a

Amount invested at 2% = 11,000 - a

Simple interest = principal * rate * time

First investment :

a * 5/2% * 1

Second :

(11000 - a) * 2%

Firat investment + second = $225

a * 0.025 + (11000 - a) * 0.02 = 225

0.025a + 220 - 0.02a = 225

0.005a = 225 - 220

0.005a = 5

a = 5 / 0.005

a = 1000

Amount in first investment = 1000

Second investment = 11000 - 1000 = 10,000

3 0
3 years ago
The equation y - 3x - 5 = 0 when written in slope-intercept form is:
quester [9]

Answer:

y = 3x + 5

Step-by-step explanation:

The zero seems to be a place holder to mess you up. Just ignore that it doesn't do anything. Add -3x and -5 to the both sides to create y = 3x + 5

5 0
3 years ago
Adam has sticks of the following lengths: (3x+4) (2x+10) (x+12)cm
gladu [14]
Option I
(3x+4)cm =(2x+10)cm
3x-2x=6
x=6
Option II
(3x+4)= (x+12)
3x-x=12-4
2x=8
x=4
Option III
(2x+10)= (x+12)
2x-x=12-10
x=2
3 0
4 years ago
Read 2 more answers
Variables x, y, and z are integers such that xyz > 0. If xy=30, x/z=2/3, and z=9, what is the value of y?
Xelga [282]
<h3>Answer:  5</h3>

Explanation:

Plug z = 9 into the second equation and solve for x.

x/z = 2/3

x/9 = 2/3

x = 9*(2/3)

x = 18/3

x = 6

This leads to

xy = 30

y = 30/x

y = 30/6

y = 5

3 0
3 years ago
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