(5x + 6x3 + 2x) - (3x - 2x3 - 7x2) is equivalent to:
8x3 + 12x2 - X
B
4x3 -- 5x2 - x
C
-4x3 + x2 + 6x
2x3 + 4x2 -- 5x
Answers
Answer:
A- 8x^3 + 12x^2 - x
Step-by-step explanation:
The symbol ^ with a 2 is squared and ^ with 3 means cubed.
1. Add a 1 before the parenthesis on both sides. Now, the equation should look like 1(5x^2 + 6x^3 + 2x) -1(3x - 2x^3 - 7x^2).
2. Now we should distribute. 1 × 5x^2 + 1 × 6x^3 + 1 × 2x -1 × 3x + -1 × -2x^3 + -1 × -7x^2.
3. Now the equation should be simplified.
1 × 5x^2 = 5x^2
1 × 6x^3 = 6x^3
1 × 2x = 2x
-1 × 3x = -3x
-1 × -2x^3 + -1 = 2x^3 -1. In this equation, there is a +- sign together, which is the same as a - sign.
-1 × -7x^2 = 7x^2
4. The new equation is 5x^2 + 6x^3 + 2x - 3x + 2x^3 - 1 + 7x^2
5. Now you can combine the like terms. 5x^2 and 7x^2 can be added, so 5x^2 + 7x^2 is equal to 12x^2. Also, 6x^3 and 2x^3 can be added, so 6x^3 + 2x^3 is equal to 8x^3. Lastly, 2x and -3x can be combined, so 2x - 3x is equal to -1x or -x.
6. So, the simplified equation is 12x^2 + 8x^3 -x. You can also write it as 8x^3 + 12x^2 - x. So, A is the answer.
Related Questions
Kenneth is 10 years older than Andrew. Billy is 2 times as old as Andrew. Cameron is 8 years younger than Andrew. The combined age of the four is 77. How old is each boy?
Answers
Answer:
Kennet 25,Andrew 15,Billy 30,Cameron 7
Step-by-step explanation:
Kenneth - 10+x,
Andrew - x,
Billy - 2x,
Cameron - x - 8,
10 + x + x + 2x + x - 8 =77
5x = 75
x = 15 (Andrew)
10+15= 25 (Kenneth)
2×15=30 (Billy)
15-8= 7 (Cameron)
In 2011, the price of gold reached an all-time high. The table shows the prices (in dollars per troy ounce) of gold each year since 2006 (t=0 represents 2006). Find a quadratic function that best models the data.
Answers
Answer:
y = 28.1739x² + 45.6478x + 617.4879 ;
$3891.36
Step-by-step explanation:
Given the data above :
We can employ an online quadratic model calculator to create a quadratic model of the data:
Year(t) ____0 ____1 ____2 ____3 ____4 ____5 (P)-603.46_695.39_871.96_972.35_1224.53_1571.52
The quadratic function obtained is :
y = 28.1739x² + 45.6478x + 617.4879
Using the model ; the price of gold in 2016 will be :
X = 2016 = 10 years (2016 - 2006)
y = 28.1739(10)^2 + 45.6478(10) + 617.4879 = 3891.3559
Hence, the predicted price of gold in 2016 using the model will be $3891.36
Enter the decimal value positioned at point B.
-6
-5
3
-2
1
2.
Answers
Answer:
im having the same problem
Step-by-step explanation:
It’s so easy I’m just dumb.
What is the slope of the line graphed below? (5,3) (-5,5)
Answers
Answer:
3
Step-by-step explanation:
but im not sure
Answer:
m = 4/5 (slope)
_____________________________
y = 4/5x - 1 (slope intercept)(y = mx + b)
- 4x + 5y = - 5 (standard form)(Ax + By = C)
y + 5 = 4/5(x + 5) (point slope)(y - y1 = m(x - x1))
Step-by-step explanation:
All you need to do is remember the equation for slope: m = y2-y1/x2-x1
Where your first point is (x1,y1), and your second point is (x2,y2), and m is slope(rate of change : change in y over change in x).
Your first point starts with the smallest x: (-5,-5), then your second point is the greater x: (5,3)
Then just substitute, and solve:
y2-y1/x2-x1 →
3-(-5)/5-(-5) = 3+5/5+5 = 8/10 = 4/5
Extra information:
point slope:
y-y1 = m(x-x1).
Where (x1,y1) is the first point, (x,y) is the second point, and m is the slope. (note: the second point does not have 2 as a subscript so it can be set to slope intercept(y = mx + b) as an equation. This is because you could be given one point, and a slope, and be told to find the other)
Then just plug the coordinates into the equation, and solve for the equation of this line.
Since we already know what the slope is, we can just solve for the general equation given one point:
y-y1 = m(x-x1)
y+5 = 4/5(x+5). (point slope)
y + 5 = 4/5x + 4
-5 -5
____________
y = 4/5x - 1
(slope intercept)
Given slope, another way to find the y intercept is to multiply the current x coordinate by the slope, and add it to the current y value.
given a point (5,3), and a slope of 4/5. The line will be y = slope × x + (y2 - (m × x2)),
y = 4/5 × x + (3 - (4/5 × 5))
y = 4/5x + (3 - 4)
y = 4/5x - 1
_________
Given the definitions of f(x) and g(a) below, find the value of g(f(-3)).
f(x) = 2x + 6
g(x) = x² + x + 2
Answers
Answer: g
( 2x+6) = 4x^2+26x+44
Step-by-step explanation: Set up the composite function and evaluate. Hope this helps! :)
how much money is 18 figures?
Answers
Answer:
2.
Step-by-step explanation:
I don't know if it is right but thats what i got. You didnt really give enough information for me to solve it.
We have that an 18 figure is a Quintilllion=10^{18}
18 figure=10^{18}
Quintilllion
From the question we are told
How much money is 18 figures
Generally the denominations of money is is mathematically given as
Hundred=100
Thousand=1000
Million=1000000
Billion=1000000000
Quintilllion=10^{18}
Therefore
Therefore and 18 figure is a Quintilllion=10^{18}
18 figure=10^{18}
Quintilllion
For more information on this visit
https://brainly.com/question/23366835
Evaluate 3x−4 when x=7.
Answers
Answer:
It is 17
Step-by-step explanation:
Simplify the expression.
Answer:
17
Step-by-step explanation:
3(7)-4=17
Someone help please ill mark brainliest
Answers
Answer:
The answer is 10
Step-by-step explanation:
you would the Pythagorean theorem, which is: A squared plus B squared equals C squared. C is always the longer side, also known as the hypotenuse and A and B ae the legs, or the two shorter sides.
Answer:
x = 10
Step-by-step explanation:
8^2+ 6^2 = c^2
64 + 36 = 100
Then square root 100
so x=10
It is known that 3 -y/2
Answers
Answer:
Ur question doesnt make sense
Step-by-step explanation:
11. Ellen borrowed $110 from her brother. He is charging 10% interest per year.
How much interest will she owe him if she repays him after 3 months?
Answers
Answer:
$3.00
Step-by-step explanation:
Answer with step-by-step explanation:
3 months is 1/4 of a year. We need to multiply $110 by 1/4, which is $27.5
Hope this was helpful!
y=7x−7z−9. Solve for x.
Answers
Answer:
x= < (y+9+7x)/7>
Step-by-step explanation:
first, add 9 to both sides of the equation. Then, subtract 7z on both sides and after that, divide by 7 for both sides.
Answer:
x=y+7z+9/7
Step-by-step explanation:
0. A line has a slope of - 3/4 and a y-intercept of 3. What is the equation of the line?
Answers
Answer:
y= -3/4x+3
Step-by-step explanation:
The general equation is y=mx+b with m representing the slope, and b representing the y-intercept. So if you are given the slope and y-intercept, you just plug those in for m and b respectively. Hope this helps!
olve each problem.
1) What is 50% of 114
Answers
Answer:
57
Step-by-step explanation:
Answer:
57
Step-by-step explanation:
.50 times 114 = 57
You are tasked with helping plan a school dance. You expect 110 people to attend the dance and need to provide seating for each person. The tables come in two different sizes. The smaller tables can fit 2 people, the larger tables can seat 4 people. Write an equation that describes the relationship between the quantity of small tables and the quantity of large tables, assuming exactly 110 people need seats.
Answers
Answer:
2x + 4y = 110
Step-by-step explanation:
Let
The quantity of small tables = x
The quantity of large tables = y
The smaller tables can fit 2 people, the larger tables can seat 4 people.
Equation that describes the relationship between the quantity of small tables and the quantity of large tables, assuming exactly 110 people need seats.
Number of people×quantity (small table) + number of people×quantity (large table) = 110
2x + 4y = 110
A = 1/2(a + b)h for h
Answers
The answer fam is....... H = 2A/a+b
8N+16.2 equals 1.6
help needed asap what do i do!!
Answers
Answer:
n=-0.425
Step-by-step explanation:
subtract 16.2 from both sides. divide 8 from both sides
Answer:
N= -1.825
Step-by-step explanation:
First, we must isolate the variable. So we can write 8N+16.2=1.6. Let's subtract 16.2 from both sides of the equal sign. So now we have 8N=-14.6. Now we have to only get N, so we must divide every side by 8. We do this to cancel out the 8 multiplying the N. We get N= -1.825. This is your answer!
I hope this helped you solve this problem and help you solve future problems!
PLZ HELP WITH THIS QUESTION
Three consecutive integers can be represented by n, n + 1, and n + 2. If the sum of three consecutive integers is 57, what are the integers?
Answers
Answer:
18, 19, 20
Step-by-step explanation:
How many ounces of trail mix are in a bag that weighs 0.5675 kilograms? Input only numeric values. (1 pound = 0.454 kg and 1 pound = 16 ounces)
Answers
Answer:
20
Step-by-step explanation:
Since 0.454 kg = 1 pound,
0.5675 kg = [tex]\frac{0.5675}{0.454}[/tex] pound = 1.25 pounds= (1.25 * 16) ounces = 20 (ounces)
Answer:
0.5675
Step-by-step explanation:
16/0.454 = x/0.5675...16 oz to 0.454 kg = x oz to 0.5675 kg
cross multiply
0.454x = 16(0.5675)
0.454x = 9.08
x = 9.08/0.454
x = 20.....20 oz are in 0.5675 kg
what is 36 X (6) +1 plz i really need helpp
Answers
Answer: 217
Step 1: Multiply 6 by 36. (PEMDAS)
6 x 36 = 216
Step 2: Add 1. (PEMDAS)
216 + 1 = 217
Answer = 217
Answer:
217 is the answer hope this helps
Use the following federal tax table for biweekly gross earnings of a single person to help answer the question below.
A 9-column table with 7 rows is shown. Column 1 is labeled If the wages are at least with entries 720, 740, 760, 780, 800, 820, 840. Column 2 is labeled But less than with entries 740, 760, 780, 800, 820, 840, 860. Column 3 is labeled And the number of withholding allowances is 0, the amount of income tax withheld is, with entries 80, 83, 86, 89, 92, 95, 98. Column 4 is labeled And the number of withholding allowances is 1, the amount of income tax withheld is, with entries 62, 65, 68, 71, 74, 77, 80. Column 5 is labeled And the number of withholding allowances is 2, the amount of income tax withheld is, with entries 44, 47, 50, 53, 56, 59, 62. Column 6 is labeled And the number of withholding allowances is 3, the amount of income tax withheld is, with entries 26, 28, 31, 34, 37, 40, 43. Column 7 is labeled And the number of withholding allowances is 4, the amount of income tax withheld is, with entries 14, 16, 18, 20, 22, 24, 26. Column 8 is labeled And the number of withholding allowances is 5, the amount of income tax withheld is, with entries 1, 3, 5, 7, 9, 11, 13. Column 9 is labeled And the number of withholding allowances is 6, the amount of income tax withheld is, with entries 0, 0, 0, 0, 0, 0, 1.
Molly has biweekly gross earnings of $839.52. By claiming 1 more withholding allowance, Molly would have $16 more in her take home pay. How many withholding allowances does Molly currently claim?
a.
1
b.
2
c.
3
d.
4
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
Hi! The answer is actually C. 3
Step-by-step explanation:
I just did the practice and it said 3 was the answer:)
Based on the number of exemptions claimed by Selina and her biweekly gross pay, her state tax will be $16.80.
Here, we have,
given that,
from the given information, we get,
Selina is to pay 21% of her federal taxes.
Seeing as she claims a single exemption and falls in the $840 to $860 bracket, the table shows that her federal tax contribution would be $80.
State taxes are therefore:
= 80 x 21%
= $16.80
Find out more on tax at
brainly.com/question/11308445.
#SPJ7
what is negative one eighth of a number is -3/4 as an equation?
will name the brainliest!
Answers
Answer:
The equation is [tex]-\frac{1}{8}[/tex] x = [tex]-\frac{3}{4}[/tex]
Step-by-step explanation:
The Equation is formed from two sides equal to each other
In the algebraic statement "is" means equalIn the algebraic statement "of" means times (×)∵ One eighth means [tex]\frac{1}{8}[/tex]
∴ Negative one eighth means [tex]-\frac{1}{8}[/tex]
→ Assume that the number is x
∵ "of" means times
∴ Negative one eighth of a number = [tex]-\frac{1}{8}[/tex] × (x)
∴ Negative one eighth of a number = [tex]-\frac{1}{8}[/tex] x
∵ Negative one eighth of a number is [tex]-\frac{3}{4}[/tex]
→ "is" means equal, so the left side is [tex]-\frac{1}{8}[/tex] x and the right side is [tex]-\frac{3}{4}[/tex]
∴ [tex]-\frac{1}{8}[/tex] x = [tex]-\frac{3}{4}[/tex] ⇒ Equation
∴ The equation is [tex]-\frac{1}{8}[/tex] x = [tex]-\frac{3}{4}[/tex]
Kya is mailing a package to her friend for her birthday. The United States Post Office charges her a flat fee of $8.50 for packing materials plus an additional $0.18 per ounce.
a. Define your variables:
b. Write a function that will help Kya determine how much it will cost to ship her package to her friend based on the weight of the package (in ounces).
c. Kya is trying to remember how much the package she sent weighed. She doesn’t remember the weight exactly, but she knows how much it cost her to mail the package. Write a function that will determine the weight of the package (in ounces) based on the total cost to mail the package.
d. It cost Kya $17.50 to mail her package to her friend. How much did the package weigh? Explain your solution, including the function, used to determine your answer.
Answers
Answer:
The answer is Y=8.5+0.18x
Step-by-step explanation:
Given data
Let the flat fee be $8.5
Let the additional fee per ounce be $0.18
Let the total amount to mail the package be y
Therefore the total amount is
Y=8.5+0.18x
The function is Y=8.5+0.18x
What role early cells played in shaping life on earth?
Answers
Answer:
Present-day cells evolved from a common prokaryotic ancestor along three lines of descent, giving rise to archaebacteria, eubacteria, and eukaryotes.
Changed the composition of the oceans. Most of the iron was precipitated out by early life.
Changed the composition of the atmosphere. Oxygen became available in abundance.
HELP ME PLS PLS PLS
Answers
A. yes
B. Yes
C. No
Hope this helps :)
Solve:
3/5 (15x - 20) = -6x + 4(x - 6)
Answers
Answer:
x = -12/7
Step-by-step explanation:
Answer:
[tex]\frac{3}{5}\left(15x-20\right)=-6x+4\left(x-6\right)[/tex]
[tex]9x-12=-6x+4x-24[/tex]
[tex]9x-12=-2x-24[/tex]
[tex]9x-12+12=-2x-24+12[/tex]
[tex]9x=-2x-12[/tex]
[tex]9x+2x=-2x-12+2x[/tex]
[tex]11x=-12[/tex]
[tex]\frac{11x}{11}=\frac{-12}{11}[/tex]
[tex]x=-\frac{12}{11}[/tex] or [tex]x=-1.090[/tex]
whats the answer ? and can you show your work if you dont mind me asking ?
Answers
Answer:
f(-1)=-2
Step-by-step explanation:
f(x)=-3x-5x^2
f(-1)=-3(-1)-5(-1)^2
f(-1)=-3(-1)-5(1)
f(-1)=3-5
f(-1)=-2
If one x-value maps to many y-values, does the relation represent a function?
Answers
Answer:
No
Step-by-step explanation:
This is the general rule for any function, where a function cannot have more than one x value for every y value, there is only one output for every input.
You can also use the vertical line test which states that anything that hits the line more than once is not a function.
pls help
Which point lies on the line defined by y = 1/8 x + 3?
Answers
Answer:
Step-by-step explanation:
put x=8
y=1/8×8+3=1+3=4
so point is (8,4)
put x=0
y=1/8×0+3=0+3=3
so point is (0,3)
to find more points put x=multiple of x and then find y.
There is a relationship between the expected number of tickets sold for points
a raffle and the dollar value of the prize for the roftle. The equation T. 7 =
150 describes this relationship, where is the expected number of tickets
sold, and is the dollar value of the roffle prize. Suppose the expected
ticket sales for a certain raffle ore 1550. Determine the dollar value of the
raffle prize
Answers
Answer:
200
Step-by-step explanation:
If the equation is T-7p=150, and 1550 tickets are sold, T would be equal to 1550. So the equation becomes 1550-7p=150. Add 150 to both sides to get 1400-7p=0. then add 7p to both sides to get 1400=7p. Divide by 7 to get 200=p
Solve For 1/4 + 1/2 + x = - 3/4
Answers
Answer:
x= negitive 6/8
Step-by-step explanation:
Ok think about it 1/4 plus 1/2 is 3/4
so how do i go to negitives?
you double the amount of it and then minus it
because 3/4- 3/4 would be zero
so you have to double it to get that answer
have a wonderful day filled with only joy!
