Answer:
8xy
Step-by-step explanation:
The equivalent equation of the quadratic equation (x² – 1)² – 11(x² – 1) + 24 = 0 is u² - 11² + 24 = 0
<h3>How to determine the equivalent equation?</h3>
The equation is given as:
(x² – 1)² – 11(x² – 1) + 24 = 0
Let u = x² - 1
So, we have:
u² - 11² + 24 = 0
Hence, the equivalent equation of the quadratic equation (x² – 1)² – 11(x² – 1) + 24 = 0 is u² - 11² + 24 = 0
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Step-by-step explanation:
Right, okay, so this is a bit of a weird one. Let's go step by step.
"Today, 6 friends went out for lunch." = The number 6 is gonna be in our equation somewhere.
"Their total bill was $27.60" = so is the number 27.6
"They decided to split the bill equally" = 27.6 "split equally" (aka divided by) 6 friends is 4.6
"each paid with a $10 bill" = This is where it gets a lil weird. So, if they divided the bill among them, none of their amounts are gonna be anywhere near ten dollars. This is one of those questions that wouldn't really happen in real life. People would probably use fives instead, but whatever. So a number we'll be using for something is 10.
"How much money will each person get back?" = So we have to find the amount they all paid (10) minus the amount each one had to pay (4.6).
To put it all into a full equation...
10 - ( 27.6 / 6 )
Divide.
10 - 4.6
Subtract.
5.4
Put back into money form.
$5.40
Answer:
Each person will get back $5.40.
Answer:
The graph is the empty number line (no solution)
Step-by-step explanation:
Your expression is (x-8)² < 0. There are no real numbers that give a negative value when squared. There is NO SOLUTION. The graph is empty.
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<em>Comment on quadratic inequalities</em>
In general the inequality (x-a)(x-b) < 0 will have a solution when one factor is negative and the other is positive. In general, that will be the case for values of x that are strictly between <em>a</em> and <em>b</em>. In your inequality, that would require you graph numbers that are between 8 and 8. There are none.
