<h3>
Answer: Choice D) 3n^2</h3>
"mono" means "one". I often think of "monorail" which means "one rail" to help remember this. So "monomial" means "one term". This reduces our choices to either C or D, as they show one term each. Choices A and B are ruled out as these are binomials, showing two terms each.
Choice C shows a cubic monomial since the exponent here is 3. So the degree is 3. We can rule out choice C.
Choice D has a 2nd degree monomial because the exponent is 2. The leading coefficient is 3 as this is the number to the left of the variable term. All of choice D fits with the description of "A monomial of the 2nd degree with leading coefficient of 3"
Answer:
Zeros are x = −2, −3 .
Step-by-step explanation:
Given : f(x) = x² + 5x + 6.
To find : What are the zeroes of f(x).
Solution : We have given that
f(x) = x² + 5x + 6.
To find the zeros of the function we need to set f(x) = 0.
x² + 5x + 6 = 0.
On factoring
x² + 3x +2x + 6 = 0.
Taking common x from first two term and 2 from last two terms
x ( x + 3) +2 ( x +3) = 0.
On grouping
(x + 3) (x + 2) = 0
Now, x + 3 = 0 and x + 2 = 0
x = -3 and x = -2
Therefore, Zeros are x = −2, −3 .
1) Use the distributive property to eliminate parentheses.
.. 3(6x) -3(5) -7(3x) -7(10) = 0
.. 18x -15 -21x -70 = 0 . . . . . . finish multiplying terms
.. -3x -85 = 0 . . . . . . . . . . . . . collect like terms
.. -85 = 3x . . . . . . . . . . . . . . . .add 3x
.. -85/3 = x . . . . . . . . . . . . . . .divide by 3
.. -28 1/3 = x . . . . . . . . . . . . . write as mixed number
2) 5 -(6 +9x) = 9 -(4x -1)
.. 5 -6 -9x = 9 -4x +1 . . . . . eliminate parentheses using the distributive property
.. -1 -9x = 10 -4x . . . . . . . . . collect like terms
.. -1 = 10 +5x . . . . . . . . . . . . add 9x
.. -11 = 5x . . . . . . . . . . . . . . . subtract 10
.. -11/5 = x . . . . . . . . . . . . . . divide by 5
.. -2 1/5 = x . . . . . . . . . . . . . write as mixed number
Answer:
Option B)
Step-by-step explanation:
We are given the following in the question:
Priya uses 
cups of flour to make 3 loaves of banana bread.
Thus, we can write the ration of bread to amount of flour used as:
Now, b loaves of banana bread using f cups of flour.
This measurement will follow the same ratio.
Thus, we can write:
Thus, the correct answer is
Option B)
