The sign of the leading coefficient can be found using the graph of a polynomial function.
<h3>What is polynomial?</h3>
Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
We have given the graph of polynomial functions:
In the first graph:
The leading coefficient is positive.
x → ∞, f(x) → ∞
x → -∞, f(x) → -∞
Degree of a function = 3
In the second graph:
The leading coefficient is negative.
x → ∞, f(x) → -∞
x → -∞, f(x) → -∞
Degree of a function = 4
In the third graph:
The leading coefficient is positive.
x → ∞, f(x) → ∞
x → -∞, f(x) → ∞
Degree of a function = 4
In the fourth graph:
The leading coefficient is negative.
x → ∞, f(x) → -∞
x → -∞, f(x) → ∞
Degree of a function = 3
Thus, the sign of the leading coefficient can be found using the graph of a polynomial function.
Learn more about Polynomial here:
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First, you need to substitute the value of x in all of the x spots.
2x+3
2(3)+3. Us PEMDAS to solve the problem.
6+3
9
That's a question that can't be answered here.
I know how to do algebra, and I could write how to do it for you. But If I start writing and keep going until I explain to you how to do algebra, do you know what you'd have here ? You'd have an algebra book, just like the one you use in school.
If it were possible to explain algebra in a few paragraphs, or even in a few pages, then that's what you would use in school to learn it, instead of a book. And if it could be explained in a few minutes, or even in a few hours, then teacher would explain it all at the beginning of the year, and then you'd have the rest of the whole year to just practice it and get really good at it.
You use a book, and you spend a whole year learning it, because that's what it takes.
I shall now reveal to you the secret hidden sneaky tricks of how to do algebra:
(If you want to print this and stick it on the refrigerator, you have my full permission.
This method is so good that it even works with a lot of other subjects too.)
-- Go to class every day.
-- As you're sitting down, turn off your cellphone and wrap up your gum.
-- Stay awake in class.
-- Listen to what the teacher is saying. In your mind, make pictures of what it means.
-- When you get a homework assignment, <em>write it down</em>.
-- Make a place at home where you always do your homework. Make it a place where other people aren't running through. While you're there doing homework, turn off the radio and your cellphone, and take the buds out of your ears.
-- <em>On the same day</em> you get the homework assignment, when you're home, sit down in the place where you do your homework, and work ALL of the examples in the assignment. (That may mean that you can't go out that night.)
-- If there's something you just don't get, ask the teacher for a time to sit down together and work on it together until you understand it. That's part of the teacher's job.
If you're building a brick house, and you leave out some bricks near the bottom and keep stacking bricks above the hole, the part above the hole could come crashing down any minute, and there's no way to go back later and try and fill in the hole.
Algebra is exactly like that. Each day or two, in class and in homework, you have to use what you learned in the<em> <u>last</u></em> day or two. If there's a hole there, it's awfully tough to build anything on top of it. If you don't understand how to do something, or you blow off a couple of homeworks, there is <em>no way</em> to go back and catch up <em>later</em>.
Follow my method, and algebra is <em>easy</em> !
This is easy, if adding the first number to the second number you get 70.2 then if you want to find the middle number you will have to subtract 32.34 from 70.2 to get 37.86, now add that and 32.34 to check if it gives you 70.2.... When you add them you indeed get 70.2 so your work is correct meaning your middle number is 37.86
Hope this helped
<h3>Answer: 1981</h3>
===================================
Work Shown:
Recall that P is in thousands, so P = 95 means 95,000.
Plug in P(x) = 95. Solve for x. Use logarithms to get this done.
P(x)=230(0.881)^x
95=230(0.881)^x
95/230 = (0.881)^x
0.41304347826087 = (0.881)^x
(0.881)^x = 0.41304347826087
Log( (0.881)^x )= Log( 0.41304347826087 )
x*Log( 0.881 )= Log( 0.41304347826087 )
x= Log( 0.41304347826087 )/Log( 0.881 )
x= 6.97883817154785
x= 7
Approximately 7 years after 1974 is when the population will be around 95,000.
7 years after 1974 = 1974+7 = 1981
