Answers
Answer:
a. x^4 - 12x^3 + 2x^2 - 2x + 4
Degree: 4
b. x^4 - 2x^2 - 2x - 4
Degree: 4
Step-by-step explanation:
For part a, all you are doing is adding the polynomials together. They already set up the boxes in standard form, so all you need to do is add each like term as I wrote out in the answer. The degree is then going to be the first exponent that you see once the polynomial is in standard form, which is 4.
For part b, you are now subtracting the polynomials. Again, it is set up for you in standard form. There is no x^3 terms because they cancel out, but you basically subtract each like term from another, and remember to distribute the subtraction sign (it acts as a -1) across the parenthesis. The degree is the first exponent you see, and that is 4.
Related Questions
whats the second step of calculating the present value of an ordinary annuity by table lookup
Answers
The second step of calculating the present value of an ordinary annuity by the table lookup is to look up the periods and rates in the PV annuity table.
What is the present value of an ordinary annuity?The present value of an ordinary annuity is the current value based on future cash inflows of the annuity, given a specified discount rate.
The present value is higher when the discount rate is lower, and vice versa.
The present value of an ordinary annuity, which discounts the annuity to the current time, is computed as Annuity Payment x Present value of the ordinary annuity table.
In conclusion, an annuity simply means a series of periodic payments and may involve payment at the beginning (annuity due) or at the end of the period (ordinary annuity).
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Katerina needs 200 balloons fillied with helium for a party. She knows that each balloon will need 0.7ft^3 of helium. the helium canisters hold 0.20m^3. 1m^3 = 35ft^3. How many Canisters will Katerina need to buy?
Answers
=======================================================
Explanation:
1 balloon = 0.7 ft^3 of helium
200 balloons = 200*0.7 = 140 ft^3 of helium
Katerina needs 140 cubic feet of helium to fill all 200 balloons.
---------------
1m^3 = 35ft^3 which is approximate
0.2 m^3 = 0.2*35 = 7 ft^3
Each canister holds approximately 7 cubic feet of helium.
----------------
To summarize so far.
Katerina needs 140 cubic feet of helium.Each canister holds approximately 7 cubic feet of helium.Let x be the number of canisters. Because of fact 2 mentioned above, 7x represents the total amount of helium from all of the x number of canisters.
Set this equal to the amount she needs (140) and solve for x.
7x = 140
x = 140/7
x = 20
Katerina needs 20 canisters.
a restaurant offers 7 appetizers and 9 main courses. In how many ways can a person order a two-course meal
Answers
Students have a height is less than what number 58?62?64?70?
Answers
Answer:
C 64 students have half the height
HELP ME !! AND EXPLAIN HOW YOU GOT IT.
PLEASE ANSWER !! ILL GIVE BRAINLIEST !!
50 POINTS !!
FAKE ANSWERS WILL GET REPORTED .
Answers
Answer:
B =90 A= 55 C=35
Step-by-step explanation:
B is a right angle =90 degrees
The sum of all angle in a triangle is 180
so the other 2 angles sum 90
(5x+5) +(3x+5) = 90
8x+10 =90
8x= 80
x= 10
A: 5x10 +5 = 55
B 3x10 +5 = 35
90+ 55+35 =180
7sur 15 plus 6sur25 FRACTION
Answers
Answer:
53/75
Step-by-step explanation:
15 = 3 × 5
25 = 5²
PPCM = 3 × 5² = 75
75/15 = 5
75/25 = 3
7/15 + 6/25 =
= (7 × 5)/(15 × 5) + (6 × 3)/(5 × 3)
= 35/75 + 18/75
= 53/75
Which of these systems of equations has infinitely many solutions? Explain your choice(s).
a. (1/2)x - 5y = 10
(-1/2)x + 5y = -10
b. 7x + 2y = -14
-7x + 2y = -14
c. x + 6y = -18
x - 6y = 18
d. (3/4)x - 9y = 12
(-3/4)x + 9y = 12
Answers
To see this, you can solve for x in one of the equations and substitute that expression for x in the other equation. For example, if you solve for x in the second equation, you get:
x = 18 + 6y
Substituting this expression for x in the first equation gives:
(18 + 6y) + 6y = -18
24y = -36
y = -1.5
Substituting this value for y back into the expression for x gives:
x = 18 + 6y = 18 + 6(-1.5) = 18 - 9 = 9
So, one solution to the system of equations is (x, y) = (9, -1.5). However, since there is a variable on both sides of the equation, there are infinitely many solutions to this system of equations.
All of the other systems of equations have either no solutions or exactly one solution.
Find the volume of the solid
Answers
Volume = h × l × b
= 3.6 × 2.1 × 1.5
= 11.34 m³
One solution.
2x - 1 = ____x - 1
Answers
the blank space must be 2 or x must be zero, I don't know what you mean by one solution
the blank must equal 2 because on the right side the coefficient of x is 2 so it must be same
Which of the following is a true proportion of the figure based on the triangle proportionality theorem?
Answers
Answer: [tex]\frac{c}{d} = \frac{a}{b}[/tex]
Step-by-step explanation:
By the given figure, the triangle's sides appear congruent. By the Segment Addition Postulate:
RT + TQ = RQ and
RU + US = RS
Substitute this with the given variables.
c + d = RQ
a + b = RS
From this, we can create the following proportion:
[tex]\frac{c}{d} = \frac{a}{b}[/tex]
Kiara invested some money into a savings account that earns 2.7% annual simple interest. At the end of 5 years, she earned $6.62 in interest. How much money did she put into the account initially? Round to the nearest dollar.
Answers
The initial amount that was invested in the account was $49.
What is the principal?We know that we can be able to obtain the principal by the use of the formula for the simple interest and by that formula we would now have that;
I = PRT/100
I = interest
P = principal
R = rate
T = time
Then we are going to have that;
R = 2.7
P = ?
I = 6.62
T = 5
Then;
6.62 = P * 2.7 * 5/100
6.62 * 100 = P * 2.7 * 5
P = 6.62 * 100/2.7 * 5
P = 662/13.5
P = 49
Thus we have but in at the beginning about $49
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About how many pieces of 3 1/2 inch wood can be cut from a 34-inch piece of wood?
Please, may someone help me?? 25 points on the line
Answers
What is the total surface area of the square pyramid below?
A square pyramid. The square base has side lengths of 6 meters. The triangular sides have a height of 8 meters.
132 m2
144 m2
160 m2
228 m2
Answers
Answer:
Its 144
Step-by-step explanation:
I did it on a test
The surface area of the square pyramid is 132 m²
How to the surface area of a square pyramid?
For a square pyramid whose base has sides that measure b, and height h, is:
S = b*b + 4*(b*h)/2
In this case, we have:
b = 6mh = 8mReplacing that in the surface area equation, we get:
S = (6m*6m) + 4*(6m*8m)/2 = 132 m²
So the correct option is the first one.
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Write a Linear Equation in the form y = mx + b for the following situation: Syd and her friends are washing cars over the summer. Without a membership, each car costs $10 to wash. With a membership, you would pay a $10 flat fee and receive washes for only $4 per car! Which linear equation below reflects the cost per car with a membership? *
Answers
Answer:
y=4x+10
Step-by-step explanation:
If $10 is a flat fee, then that is your constant; it doesn't change.
If $4 per car, then 4 is your coefficient.
Therefore, your equation is y=4x+10
8. Determine whether each relation is a function. a. 2 3 -2 -1 -2 X 4 5 3 4 5 3 7 0 y b. 1 2 1 2 X 7 2 y 3 4 y 5 6 5 fur
Answers
on solving the equation, we have therefore the value of x from the given equation comes out to be 13.5
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
equation given is 3(x+2)=7x-48
value of x
[tex]3(x+2)=7x-48\\ 3x+6=7x-48\\7x-48-3x-6=0\\ 4x-54=0\\ 4x=54\\ x=54/4\\ x=13.5\\[/tex]
value of x from the given equation comes out to be 13.5
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m × m × r = 5 × 4 × 5; then r =
Answers
Answer: 5
Step-by-step explanation:
A community theater performed a play each Saturday evening for 10 consecutive
weeks. The graph shows the attendance for the performances in weeks 1, 4, 6, and 10.
Describe the rates of change in attendance with respect to time.
Weeks 1-4:
Weeks 4-6:
Weeks 6-10:
300
250
200
150
100
50
y
Attendance
Play Attendance
(4, 230)-
(1,131)
(6,208)
(10,60)
Week of performance
0
0 1 2 3 4 5 6 7 8 9101112
Answers
The rates of change in attendance in week 1-4 is 33, week 4-6 is -11, week 6-10 is -37 people per week
What is rate of change of attendance?The rate of change in attendance with respect to time is calculated by taking the difference in attendance between two weeks and dividing by the number of weeks between those weeks. This is done to find the average rate of change in attendance per week. The formula used is:
[tex]Rate =\frac{Attendance at week 2 - Attendance at week 1}{week 2 - week 1}[/tex]
Weeks 1-4:
The rate of change in attendance with respect to time is 33 people per week. This can be calculated by taking the difference in attendance between weeks 1 and 4 (230-131) and dividing by the number of weeks between those weeks (4-1 = 3).
[tex]rate =\frac{230-131}{4-1}\\[/tex]
hence rate is 33 people per week
Weeks 4-6:
The difference in attendance between weeks 4 and 6 (230 - 208)
The number of weeks between those weeks (6-4 = 2).
[tex]rate =\frac{208-230}{6-4}[/tex]
Hence rate is -11 people per week
Weeks 6-10:
The difference in attendance between weeks 6 and 10 (60-208)
The number of weeks between those weeks (10-6 = 4).
[tex]rate=\frac{60-208}{10-6}[/tex]
Hence rate is -37 people per week
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Juan is selling tickets for a high school playChild tickets cost $3 and adult tickets cost $10. He selts 205 tickets and collects $1560
Answers
Answer:
135 Adult tickets and 70 Child tickets sold
Step-by-step explanation:
135*10 (adult ticket price) = 1,350
70*3 (child ticket price) = 210
$1,350 + $210 = $1,560
135 + 70 = 205 tickets sold
At a sale this week, a table is being sold for $429. This is a 34% discount from the original price, what was the original price?
Answers
Answer:
$574.86
Step-by-step explanation:
First you need to find 34% of 429 which is 145.86. Then you add the 145.86 to 429 which ends up being a total of $574.86.
Hope this helped :)
what is the answer
................................................
Answers
Answer:
1/5
Step-by-step explanation:
2/5x1/2=2/10=1/5
Use Exponential Functions
Complete the table for the following function
Graph the function and describe what the graph looks like.
a. Increases in Quadrant
b. Increases from left to right
c. Decreases from left to right
d. Decreases in Quadrant III
Please select the best answer from the choices provided
Answers
Answer:
B. Increases from left to right
Step-by-step explanation:
I calculated it logically
Salma spent a total of $40 at the grocery store. Of this amount, she spent $26 on fruit. What percentage of the total did she spend on fruit?
Answers
so, if we take 40(origin amount) to be the 100%, what is 26 off of it in percentage anyway?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 40 & 100\\ 26& x \end{array} \implies \cfrac{40}{26}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 20 }{ 13 } ~~=~~ \cfrac{ 100 }{ x }\implies 20x=1300\implies x=\cfrac{1300}{20}\implies x=65[/tex]
find each angle measure to the nearest degree
Find m.
E
F
1.25 m
3 m
D
if correct will mark brainless :))
Answers
EF=2.73m;m<D
=65;m<F=25*
Hope this helps
What is the domain of the function represented by this graph?
A. X>4
B. X<0
C. All real numbers
D. -2
Answers
Answer:
All real numbers
Step-by-step explanation:
When looking at what numbers of x could be part of the functio, we can see that all real numbers can be found in this function for x
What is the radius of a globe that has a volume of 268.08 in³?
Answers
Answer:
4 inches is the radius
Step-by-step explanation:
Select the correct answer.
Simplify the expression.
Answers
Answer:
The answer to the question is C
please give me an real answer on games 25 points on the line
Answers
Answer:
Its equal.
Step-by-step explanation:
if its right can you pls mark brainliest? if its not a bother
In some cities you can rent a car for $18 per day and $0.20 per miles. a. Find the cost of renting the car for one day and driving 200 miles.
Answers
The cost of renting the car for one day and driving 200 miles is $54.
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, In some cities you can rent a car for $18 per day and $0.20 per miles.
Establishing the equation for finding total cost y for x miles and d days
y = 18d + 0.2x
For 200 miles, the cost =
y = 18×1+0.20×200
y = 18+40
y = $54
Hence, the cost of renting the car for one day and driving 200 miles is $54.
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Steven is researching prices on living room sofas in order to determine what a typical sofa costs. Which statement correctly explains why the median price would be
more useful to Steven than the mean price?
A. The median price is the most common price.
B. The mean price might not be an actual price.
C. The mean price can be greatly changed if a few extremely high prices are included.
D. The median price is always changed when extremely high prices are included.
Answers
Answer:
the answer is c because it can be either greatly increased or decreased
Write the ratio for Sin M.
Answers
Answer:
i forgot
Step-by-step explanation: