How do you factor this polynomial expression?
Answers
Here's a rule that I learned from my algebra teacher almost 60 years ago.
It's so handy, and I use it so often, that it's still fresh in my mind, and even
though it's so old, it still works !
In fact, it's so useful that it would be a great item for you to memorize
and keep in your math tool-box.
==> To factor the difference of two squares, write
(the sum of their square roots) times (the difference of their square roots) .
That's exactly what you need to solve this problem.
I'll show you how it works:
9x² - 25
You look at this for a few seconds, and you realize that
9x² is the square of 3x , and 25 is the square of 5 .
So this expression is the difference of two squares,
and you can use the shiny new tool I just handed you.
The square roots are 3x and 5 .
So the factored form of the polynomial is (3x + 5) (3x - 5) .
That's all there is to it. If you FOIL these factors out, you'll see
that you wind up with the original polynomial in the question.
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Suppose 3 rooms cost $596 and 5 rooms cost $860. Write an equation that represents the total cost for the number of rooms.
one-third of the fish in Liam's fish tank were added today. Half of the other fish were a gift to Liam last week. the other 9 came from Liam's old fish tank. How many fish are in the tank? What is the difference between the number of fish Liam had in his old tank and the number he has now?
Answers
It is used to express exact values.
Therefore, we will use an equation when when know that the quantity given is strictly equal to a given value.
Examples:
1- Price of a kilo of apples is $2
This is translated as ........> cost of 1 kilo = $2
2- The length of a ruler is 30 cm
This is translated as ......> length = 30 cm
An inequality:
It is used to show relation or compare between a quantity and a value. Therefore, we use it when we find keywords as "at least, at most, greater than, less than, ..... etc"
Example:
1- The distance between two cities is at least 20 miles.
This means that the distance can be 20 miles or more
This is translated as:
distance ≥ 20 miles
Hope this helps :)
Well, I guess you can tell by looking for some key words.
You use an equation when the situation has words like
-- is
-- equals
-- same as
-- results in .
You use an inequality when the situation involves words like
-- more
-- most
-- less
-- least
-- at least
-- no more than .
Answers
14 x 2 since it's a half = 28 plus another half is 29 halves :)
Answers
The least number of minutes used to make calls in this month were 1311 minutes, m ≥ 1311 .
Step-by-step explanation:
Given that monthly fee is $20
Payment for additional time in minutes is charged as $0.55 per minutes
The month call bill is at least $85.55, where m is the number of call minutes used that month. This means ;
m*$0.05 +$20 ≥ $85.55
The inequality to form is;
0.05 m +20 ≥ 85.55
Solving this inequality
0.05 m + 20 ≥ 85.55
0.05 m ≥ 85.55 - 20
0.05 m ≥ 65.55
m ≥ 65.55 / 0.05
m ≥ 1311
The least number of minutes used to make calls in this month were 1311 minutes.
Learn More
Inequalities :brainly.com/question/10782172
Keywords : monthly fee, additional charge, per minute, charged, inequality
#LearnwithBrainly
II n²
III 2 - n
Answers
ex. 2n
you can have n=-1
2(-1)
-2<-1
ex. n^2
n=1
1^2
=1
1=1
ex. 2-n
n=2
2-2
=0
0<2
Math problem
Hey
Answers
Answer:
10.91
Step-by-step explanation:
40.54-29.63= 10.91
BRAINLIEST ARE ALWAYS APPRECIATED :)
Answer:
10.91
Step-by-step explanation:
40.54
- 29.63
_______________
10.91
Answers
Answer:
Step-by-step explanation:
Given: sum of the smallest integer and four times the largest integer out of three consecutive odd integers is 61
To list: numbers from least to greatest
Solution:
Let the three consecutive odd integers be .
According to question,
So, the integers are
Numbers from least to the greatest: