Answer:
Explanation:
To simplify a polynomial, we have to do two things: 1) combine like terms, and 2) rearrange the terms so that they're written in descending order of exponent.
First, we combine like terms, which requires us to identify the terms that can be added or subtracted from each other. Like terms always have the same variable (with the same exponent) attached to them. For example, you can add 1 "x-squared" to 2 "x-squareds" and get 3 "x-squareds", but 1 "x-squared" plus an "x" can't be combined because they're not like terms.
Let's identify some like terms below.
f(x)=−4x+3x2−7+9x−12x2−5x4
Here you can see that -4x and 9x are like terms. When we combine (add) -4x and 9x, we get 5x. So let's write 5x instead:
f(x)=5x+3x2−7−12x2−5x4
Let's do the same thing with the x-squared terms:
f(x)=5x+3x2−7−12x2−5x4
f(x)=5x−9x2−7−5x4
Now there are no like terms left. Our last step is to organize the terms so that x is written in descending power:
f(x)=−5x4−9x2+5x−7
Step-by-step explanation:
Answer:
A graphing calculator can do quadratic regression on the given points. It tells you the cost function is
.. c(x) = (1/2)x^2 +8x +10
Then c(12) = 178
The cost function predicts the total cost of producing 12 camera cases is $178.
Step-by-step explanation:
<3 follow
Answer:
6 boxes.
Step-by-step explanation:
1) The equation that can be used to describe this situation is; a + 2a + 1 + 5a = d
2) The equation that can be used to describe this situation is; a = 2b + 800
<h3>How to solve Algebra Word Problems?</h3>
Length of original piece = d
length of first piece = a
The second piece is twice as long as the first piece. Thus;
Length of second piece = 2a
The third piece is one inch more than five times the length of the first piece. Thus;
Length of third piece = 1 + 5a
Thus, equation for total length is;
a + 2a + 1 + 5a = d
2) State A produced 800 million pounds of apples more than twice the amount of apples in State B.
If a represents the amount of apples grown in State A and b represents the amount of apples grown in State B, then we have;
a = 2b + 800
Read more about Algebra Word Problems at; brainly.com/question/4344214
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Answer: The answer is G
Step-by-step explanation:
If you don't see the stars, then the sky is not clear. This statement is equivalent to saying "If the sky is not clear, then you don't see the stars", because if you rearrange both statements you will find out that they are equivalent to each other.
Mark out all the words in each statement, you will discover that at the end you will have no word left on both side, its just as good as saying 1 - 1 = 0.
