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: discount amount is $6.75
Step-by-step explanation:
1. multiply 45 by 15% (0.15) = $6.75
2. price of an item with discounted amount would equal $38.25
The ladder leaning against the wall forms a right angled triangle with the gound and the wall. So we can use the formula:a² + b² = c²The ladder is the hypotenuse c²The vertical leg is b²The base or horizontal leg is a²We need to find the length of the base a², so:a² = c² - b²a² = 5² - 4²a² = 25 - 16a² = 9a = √9a = 3<span>Therefore the bottom of the ladder must be 3 feet from the wall.
Example:
</span>If the 24 foot ladder is leaned on the house with the bottom 8 feet from the base the wall of the house, then it will form a right angled triangle.The base of the triangle will be 8 feet while the 24 foot ladder forms the hypotenuse. We need to find out the height from the base of that wall to the point the ladder touches the wall.Let the hypotenuse be CLet the base be BLet the height be AWe use this formula: A squared + B squared = C squaredA sq + 8 sq = 24 sqA sq + 64 = 576A sq = 576 - 64A sq = 512A = Square root 512A = 22.6To the nearest 10th this will be 23<span>So the answer is 23 feet.</span>
The answer for this is 15.
If she completes 5 paintings each month for six months at the end of the six months she will have 30 paintings complete and will need to complete 8 more paintings before 38 paintings are complete.
