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
The correct answer is C
.
<u>EXPLANATION</u>
We have

and
.
We solve the two equation simultaneously by elimination method. We need to be smart and eliminate y, since we are looking for
.
We first multiply equation (2) by 2
.
We add equation (3) and (1).
.
Dividing through by 6 gives
.
2x=3
so substitute y=mx+c
rise/run
Answer:
3059
Step-by-step explanation:
3.5%=0.035
0.035x87,400
=3059
that's your answer.
Given:
A synthetic division problem.
To find:
The missing number it in the given synthetic division problem.
Solution:
The given synthetic division problem is:



In synthetic division, we need to add first and second row to get the bottom row.



Similarly,

Therefore, the missing value in the given synthetic problem is 10. Hence, the correct option is C.