In order to solve this problem, you must use the rules of P.E.M.D.A.S P=Parenthesis, E= Exponents, M= Multiplication, D= Division, A= Addition, S= Subtraction. PS Remember the rules with negatives as well and make sure that you simplify it the best you can. If you need further help and explanation make sure to ask.
Answer:
1: B. 2: 6n^6+9n^5+4n^2-4n. 3: D. 4: 6b^2-15b-9. 5: 48x^2-4x-4
Step-by-step explanation:
1.
A trinomial is a polynomial with three terms. The expression 7v^2 +2v +2 has 3 terms.
2.
A polynomial in standard form has its powers listed from highest power to lowest power. The terms are 6n^6, 4n^2, 9n^5, and -4n. Remove the bottom numbers to find 6, 2, 5, and 1. Next, put them in order. 6, 5, 3, 1. Then, re-add the bottom numbers. 6n^6+9n^5+4n^2-4n.
3. A sixth degree polynomial is one with a sixth degree power. So, the answer is either C or D. Next, let's look at the terms. The expression here has 4 terms. So, the answer is D.
4 and 5:
To solve expressions in this form, (a+b)(c+d), turn the expression into an equivalent one, ac+ad+bc+bd. Plug in the numbers (with a negative mark if its -a or a-b) into that expression to get your answer.
4 simplifies out into 6b^2+3b-18b-9, which can be simplified into 6b^2-15b-9
5 simplifies out into 48x^2+12x-16x-4, which can be simplified into 48x^2-4x-4.
The box with the bunk bed will not fit in the mini van
Step-by-step explanation:
Step 1 :
Given
Length of the cuboid = 6 feet
Width of the cuboid = 2 feet
Height of the cuboid = 3 feet
The diagonal of the cuboid is

= 7 feet
Step 2 :
The utmost length of the diagonal of the box which the minivan can hold is 6.8 feet
The length of the diagonal of the box containing the bunk bed is 7 feet which is greater than 6.8 feet.
Hence the trunk of the mini van cannot hold the bunk bed
To find the x-int., let y = 0 and solve for x: 13x = 6, so x = 6/13: (6/13, 0)
To find the y-int., let x =0 and read off the y-int: (0, -6)