1. A polynomial means it has more than one term.
a. has 4 terms
b. has 1 term (not a POLYnomial)
c. has 3 terms
d. has 2 terms
2. The first word in a polynomial description tells the degree (max amount of exponents) of the expression, and the second word tells how many terms it has.
a. This answer means it's maxed exponent is to the fourth power, which it's not. (WRONG)
b. This answer means that it has a max exponent to the third power, which is true, and it also says it has three terms, which is also true. (CORRECT)
3. You must combine like terms in this polynomial.
=> 14x^2 - 6x^2 =8x^2
=> 5x + 2x = 7x
=> -8
d. This answer combines all the terms correctly.
4. To simplify this equation, you must first distribute the negative to all of the second equation.
(4x^2 -3x+2) + (-2x^2-5x+7)
Now, combine like terms.
=>4x^2 - 2x^2 = 2x^2
=>-3x - 5x = -8x
=>2 + 7 = 9
d. This answer simplifies it correctly
Answer:
A. 12 and 43
Step-by-step explanation:
Pythagorean theorem is given as =
Where, a and b are the two legs of the right triangle, while c is the hypotenuse/longest leg of the triangle.
In the figure given, the side of the largest square = the hypotenuse of the triangle = c
While the side of the other squares = a and b respectively, of the triangle.
Area of square = s², where s is the side length of the square.
Since we are given that the area of the largest square = 55, this is also equivalent to c² in the Pythagorean theorem.
The side length of the largest square = √55 ≈ 7.4 = c
Therefore, to determine the area of the other squares, check the options given if they add up to give 55.
Option A: 12 + 43 = 55
Option B: 14 + 40 = 54
Option C : 16 + 37 = 53.
The correct possible areas of the smaller squares would be A. 12 and 43.
Answer:
D) 4,6,7
Step-by-step explanation:
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2/3 will not be included in the domain of g/f
Step-by-step explanation:
Given functions are:
We have to calculate (f/g)(x) first
The steps will be as follows:
Putting the values of functions
Domain of g/f:
The function will be undefined if the denominator is zero.
To find the domain we will put the denominator equal to zero
So,
Hence, the function will be undefined on x=2/3 so 2/3 will not be included in the domain of (f/g)(x)
<u>Answer:</u>
2/3 will not be included in the domain of g/f
Keywords: Domain, Operations on Functions
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