100 points brainliest!!! plz answer all to the best of your ability no links they don't work for me
Answer the following questions using what you've learned from this unit. Write your responses in the space provided.
1. Part I: The degree of a polynomial is the (greatest / least) of the degrees of its terms. (Circle the term that correctly completes this definition.) (1 point)
Part II: In order to write a polynomial in descending order, you must write the terms with the exponents (decreasing / increasing) from left to right. (Circle the term that correctly completes this rule.) (1 point)
Part III: For each polynomial, determine the degree and write the polynomial in descending order. (4 points: 2 points each)
A. –4x2 – 12 + 11x4 B. 2x5 + 14 – 3x4 + 7x + 3x3
2. Use addition and subtraction to simplify the following polynomials.
A. Add polynomials: (3 – 4x + 8x2) + (–6 + 2x – 5x2)
Step 1: Rewrite the polynomials without the parentheses. (1 point)
Step 2: Write the polynomial in descending order and use parentheses around like terms. (1 point)
Step 3: Add the like terms identified in Step 2 to simplify the polynomial. (1 point)
B. Subtract polynomials: (3x – 5 – 7x2) – (–2 + 6x2 – 5x)
Step 1: Rewrite the polynomials without the parentheses. Remember to multiply each term in the second parentheses by –1. Show your work. (2 points)
Step 2: Write the polynomial in descending order and use parentheses around like terms. (1 point)
Step 3: Add the like terms identified in Step 2 to simplify the polynomial. (1 point)
3. Use the FOIL method to multiply binomials.
Part I: When multiplying binomials, the FOIL method helps you to organize the multiplication of each term of the first binomial by each term of the second. Fill in each blank with the word used to show how the binomials' terms are multiplied. (2 points: 0.5 point each)

F

O

I

L

Part II: Using the FOIL method, multiply the terms in the binomials below. Show your work in the blanks provided. Then, add any like terms and write the polynomial in standard form in the space provided. Show your work. (8 points: 2 points each)
A. (3x + 7)(2x – 5) B. (x2 + 2x)(5x2 – 3x)

______ + _______ + _______ + _______
______ + _______ + _______ + _______
______________________
______________________

C. (5x + 4)(5x – 4) D. (x2 – 7)(x2 – 4)

______ + _______ + _______ + _______
______ + _______ + _______ + _______
______________________
______________________
4. Use the distributive property to multiply the trinomial by the binomial.
Circle the first term in the trinomial, multiply it by each term in the binomial, and place each result in the blank spaces provided. Repeat this process for the second and third terms of the trinomial until all of the spaces are filled in. Finally, in the space provided beneath the blanks, simplify the expression by combining like terms and arranging the terms from highest to lowest order. Show your work. (4 points)

(3x2 – 2x + 7)(x2 + 2x)
______ + _______ + _______ + _______ + ______ + _______
5. Use the vertical method to multiply two trinomials.
Step 1: Multiply the top trinomial by the last term in the bottom trinomial. Place each result in the blank spaces provided. (2 points)
Step 2: Multiply the top trinomial by the middle term in the bottom trinomial. Place each result in the blank spaces provided. (2 points)
Step 3: Multiply the top trinomial by the first term in the bottom trinomial. Place each result in the blank spaces provided. (2 points)
Step 4: Add the three partial products to find the final answer. Place the result at the bottom. (1 point)
6. Sabrina is making an open box from a piece of cardboard that has a width of 12 inches and a length of 18 inches. She'll form the box by making cuts at the corners and folding up the sides. If she wants the box to have a volume of 224 in3, how long should she make the cuts?
Part I: Each dimension (width, length, and height) of the finished box can be represented by a polynomial expression. If the height is x inches, what is the length in terms of x? (2 points)
Height = x
Width = 12 – 2x
Length =
Part II: The formula for volume is v = l • w • h. Use the polynomial expressions from Part I to write an equation to represent the volume of the box. Simplify on the right side by multiplying the polynomials and writing the answer in descending order. Show your work.
HINT: First multiply the binomials representing length and width. Next, multiply the resulting trinomial by the expression representing height. (3 points)
v =
Part III: The length of each cut at the corners is represented by x. To make a box, x must fall in a certain range of values. For example, x cannot be 15 because that would make the flap longer than the width of the box. Identify one reasonable value of x. Why did you choose that value? (2 points)
Part IV: Use the polynomial equation you wrote in Part II to find the volume of the box for each value of x. Show your work. (5 points)

Answer:

Part I:  The degree of a polynomial is the greatest of the degrees of its terms.

Part II:  In order to write a polynomial in descending order, you must write the terms with the exponents decreasing from left to right.

Part III: A. -4x² + 11x - 12, degree = 2,

B. 5x³ + 4x + 14, degree = 3.

Step-by-step explanation:

Part I : Since the degree of a polynomial is the highest power of its monomials ( single term ),

e: degree of is 5.

Thus, in part I, the correct option is 'greatest'

Part II: When we write a polynomial then we write the terms of the polynomial in descending order of their degrees.

Thus, in part II the correct option is 'least'

Part III: A.  

∵ -4x² has the highest power in the polynomial.

⇒ Degree = 2,

Also, in the polynomial descending order of degrees,

2 > 1 > 0

⇒ polynomial in descending order,

B.  

Combining like terms,

∵ 5x³ has the highest degree,

⇒ Degree = 3,

Also, the order of the degrees in the polynomial is,

3 < 2 < 1 < 0

Thus, the polynomial in descending order,

Answer: I had trouble with this one too.

Step-by-step explanation:

The volume of a square pyramid is 48 in^3 with a height of 4 inches. Find the length of one of the side of the base.

5th grade math. correct answer will be marked brainliest

Question in pic plz help! ~

3. A system of functions is given. Select
ALL values where f(x) = g(x). Round all
answers to the nearest tenth
f(x) = - x - 2x + 6
g(x) = 2x2 + 5x + 3
a) -2.7
b) -1.8
c) -0.6
d) 0.4
e) 4.1
f) 5.1
g)7.0

one number added to twice another number is 23. Four times the first number added to twice the other number is 38. What are the numbers?

What Is 21+21,000 Please tell me what the answer

The simple interest on birr 400 invested for 4 months was birr 12, what is the annual (yearly) rate of interest?

Help me please!!!!!!!!!!!

A red car left the park at 9 am. An hour later a blue car left the same park, heading to the same destination. If both cars arrived at the destination at 1 pm, and the speed of the blue car was 15 mph faster than the red car, what was the speed of the blue car?

28) (-5ưyA +9u) + (-5ư v4 - 8u + 8u²v2)+(-8u*v + 8uº4)=

Two angles are supplementary. The first angle is 3x degrees. The second angle is (2x + 25) degrees. Determine the measure of each angle.

Lollipops cost 12p each, but I get 3 for 30p. What is the maximum number of lollipops I can buy if I have £2 to spend?

What is the probability that a randomly selected bottle is correctly placed and a Plastic #4 bottle?


A. 1/2

B. 1/3

C. 1/4

D. 1/6

The median of 8 numbers is 4.5.Given that seven of the numbers are 9,2,3,4,12,13,1 find the eighth number

PLEASE HELP ME PUT THEM IN ORDER

Write an equation in slope intercept form that represents the line shown?

There were two times as many pepperoni pizzas as cheese pizzas, plus one pizza they ordered 13 pizzas altogether how many pepperoni pizzas were there? How many cheese pizzas were there

HELP PLEASE

Marcus works at the grocery store. He earns 8.75 per hour. Last week he worked 6.5 hours. How much did Marcus make last week?

At 5 am, the temperature was -10°F. By noon the temperature was 7°F, What Integer
represents the change in temperature from 5 am, to noon?

HELP ME UNSCRAMBLE THESE WORDS PLEASE!!! IGNORE THE SUBJECT I JUST DIDN'T KNOW WHAT TO PICK!! THANK YOU LOVELIES!!!

Which system of inequalities has this graph as its solution?
y 10
-10
- म
5
10
-10
OA. y < 21 - 3
y OB.y > 2 - 3
y> : +4
Ocy > 21 - 3
y < = + 4

En san pedro de atacama, un dia de septiembre a las 7a.M., la temperatura fue de 6°c, la que fue aumentando 2,3°c en promedio por hora hasta que alcanzo su maxima de 30,15 °c ¿ a que hora alcanzo su temperatura maxima

1. Find the equation of the parabola satisfying the given conditions.

Focus: (3,6); Directrix: x=−1

A. (x−1)2=8(y−6)

B. (y−6)2=8(x−1)

C. (x−1)2=−8(y−6)

D. (y−6)2=−8(x−1)


2. Find the equation of the parabola satisfying the given conditions.

Focus: (−6,3); Directrix: y=1

A. (y−2)2=4(x+6)

B. (x+6)2=4(y−2)

C. (x+6)2=−4(y−2)

D. (y−2)2=−4(x+6)


3. Find the equation of an ellipse that has foci at (−1,0) and (4,0), where the sum of the distances between each point on the ellipse and the two foci is 9.

A. (x+1)2+y2−−−−−−−−−−−√+(x−4)2+y2−−−−−−−−−−−√=9

B. (x−1)2+y2−−−−−−−−−−−√+(x+4)2+y2−−−−−−−−−−−√=9

C. (x+1)2+y2−−−−−−−−−−−√+(x−4)2+y2−−−−−−−−−−−√=81

D. (x−1)2+y2−−−−−−−−−−−√+(x+4)2+y2−−−−−−−−−−−√=81


4. Find the equation of a hyperbola that has foci at (−1,0) and (4,0), where the difference of the distances between each point on the ellipse and the two foci is 5.

A. (x+1)2+y2−−−−−−−−−−−√−(x−4)2+y2−−−−−−−−−−−√=25

B. (x−1)2+y2−−−−−−−−−−−√−(x+4)2+y2−−−−−−−−−−−√=5

C. (x−1)2+y2−−−−−−−−−−−√−(x+4)2+y2−−−−−−−−−−−√=25

D. (x+1)2+y2−−−−−−−−−−−√−(x−4)2+y2−−−−−−−−−−−√=5

find the area of this polygon

Jamar to the local snack shop near his school He bought 3 hotdogs and 2 bags of chips for $Kenny went to the same snack shop and bought 5 hotdogs and 6 bags of chips for $9.55 ordered 2 hotdogs and 3 bags of chips, then how much did she pay her order?

The design for the palladium window shown includes a semicircular shape at the top. The bottom is formed by squares of equal size. A shade for the window will extend 4 inches beyond the perimeter of the window, shown by the dashed line around the window. Each square in the window has an area of 169 in2. Round your answers to the nearest whole number.

Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!

How many solutions does the system of linear equations have? Use the drop-down menus to explain your answer.

y = 3/4x + 12
y = 4/3x
The system of linear equations will have
Choose...
no solution
exactly one solution
infanite many solutions
because the slopes of the equations are
Choose...
the same
different
, so the lines will
Choose...
not intersect at all
intercect at one point
both be the same line

Translate the phrase into an inequality:
Seven plus a number x is at most twenty

Can someone please help me with math