Solution to equation
for all real values of x is
.
<u>Step-by-step explanation:</u>
Here we have ,
. Let's solve :
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⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
By quadratic formula :
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⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
But at
we have equation undefined as
. Hence only solution is :
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Since , 
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Now , General Solution is given by :
⇒ 
Therefore , Solution to equation
for all real values of x is
.
Answer:
B. Number the students on the school roster. Use a table of random numbers to choose 160 students from this roster for the survey.
Step-by-step explanation:
Answer:
$1800
Step-by-step explanation:
1. Approanch
An easy way to calculate one's salary after they recive a raise is to, convert the percent that one's salary is increased into a decimal; divide the percent by 100. Then multiply the increase as a decimal by the original salary, to attain the amount the salary is raised by. Finally add the amount the salary is raised by to the original salary to find the new salary. A quicker way to do this is to convert the percent by the salary is increased into a decimal. Then add 1 to that number. Finally one will multiply that number by the original slary and get the new salary.
2. Solving
Original salary; 1500
Raise; 20%
<u>a. convert the raise as a percent into a decimal, then add 1</u>
20% = 0.2
0.2 + 1 = 1.2
<u>b. multiply the number by the original salary</u>
1.2 * 1500
1800
Answer:
103⁰
Step-by-step explanation:
straight line= 180⁰
180⁰-77 = 103⁰
A rectangle is plotted on the coordinate grid. It has vertices at (-3, 5), (4, 5), (4, -1), and (-3, -1). Which choices below are the dimensions of the rectangle?
Answer
(-3,5)