Answer:
B.
Step-by-step explanation:
3/12 reduces to 1/4.
1/2 alone is greater than 1/4, so when 2/10 is added to 1/2, it is certainly greater than 3/12.
Answer: B.
2.
3. The polynomial has 4 terms.
The degree of the polynomial is that of the largest sum of degrees of the variables in any term. That sum is 3+1=4 in the second term. The degree of this polynomial is 4.
4. f(g(x)) = g(x)² +1 = (2x-3)² +1
... f(g(x)) = 4x² -12x +10
_____
Of course, you're familiar with the square: (a+b)² = a² +2ab +b² so you have no problem finding the result when a=2x, b=-3.
Answer:
a = 2x
b = 3
Step-by-step explanation:
Consider the sum of cubes identity
a³ + b³ =(a + b)(a² -ab +b²)
for the polynomial 8x³ +27, we factorise
8x³ + 27
∛8 = 2
∛8 = x
∛27 = 3
Therefore, we can say that :
8x³ + 27 = (2x)³ + 3³
Using this: a³ + b³ =(a + b)(a² -ab +b²)
We can say that
a = 2x
b = 3
To confirm that: a = 2x and b = 3 we factorise 8x³ + 27
= (2x)³ + 3³
= (2x + 3)((2x)²− 2x × 3 + 3²)
= (2x + 3)(4x² - 6x + 9)
= 8x³ - 12x² +18x + 12x² - 18x + 27
= 8x³ + 27
Therefore, a = 2x and b = 3 is correct.
=
. By cross multiplying 8g = (2)(56) = 112. Divide by 8 on both sides. g = 14. The answer is a.
You will have to follow PEMDAS. Which means you will do what's in the parentheses first. 1+4=5
5^2+3*5 is your new equations.
Next you will do the exponents.
5 Squared is 25.
25+4+5
Then you will do multiplications
25+(3*5)= ?
25+15= ?
25+15= 40.