The polynomial expressed as trinomial is 3x² - 21x + 30
Polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.
Polynomials can be classified based on the number of terms as binomial, trinomial.
Trinomial is a polynomial with 3 terms.
Given the polynomial:
(x - 5)(3x - 6)
= 3x² - 15x - 6x + 30
= 3x² - 21x + 30
The polynomial expressed as trinomial is 3x² - 21x + 30
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People attended the State Fair at a rate of 42 people per minute. How many hours would it take for there to be 15,000 people at the Fair (first find how many minutes it will take)?
Step-by-step explanation:
42 people per minute
how many minutes for 15000 people ?
well, how often does 42 fit into 15000 ?
15000/42 = 357.1428571... minutes
and since we want to bring in everyone of the 15000, we have to count the fraction of the last minute as minute.
so, we have 358 minutes.
and that is in hours, as 1 hour = 60 minutes
358/60 = 5.9... hours
so, the rounded answer is 6 hours.
pls I need help pls I need it
Answer:
You would need 23 inches to build it
(a) I wanted to determine how much water my sprinkler was using, so I set out a bunch of empty cat food cans at various distances from the sprinkler and noted how high the water was in each can after one hour. My sprinkler reaches from 0 feet to 16 feet away from the sprinkler. The data are given in Table 1. The sprinkler distributes water in a circular pattern, so I assumed that points the same distance from the sprinkler received the same amounts of water. One way to use the data in Table 1 to estimate how many cubic feet of water my lawn got from my sprinkler in one hour is to write down an integral for the volume of water using the method of shells, and then use a right-endpoint Riemann sum to approximate this integral. Give your answer in decimal form rounded to the nearest cubic foot.
(b) My neighbor decided to collect the same data for her watering. Her sprinkler reaches from 0 feet to 21 feet away from the sprinkler, but she did not set out the cans at evenly spaced distances and so the calculation is a bit more complicated. The data are given in Table 2.Use the data in Table 2 to estimate how many cubic feet of water her lawn got from her sprinkler in one hour. Again, write down an integral for the volume of water using the method of shells, and then use a right-endpoint Riemann sum with subintervals of different lengths to approximate this integral. Give your answer in decimal form rounded to the nearest cubic foot.
Answer:
a) 108 ft
Step-by-step explanation:
2pi (x*f(xi)........)*deltax
x is the point in the table
so for the first three points
2pi(2*f(2)+4*f(4)+6*f(6).....)*2
and so on for the rest
make sure you convert f(x) into feet, for example (2, 2.1) do 2.1/12
first point in equation
2pi(2*(2.1/12)+....)*2
Write an expression for the perimeter of the triangle shown below:
A). 5.5x − 9
B). 5.5x + 9
C). 10x − 39
D). 10x − 9
Answer:
Answer B 5.5x + 9
Step-by-step explanation:
Perimeter is the distance around the three sides of the triangle
P = (0.3x + 24) + (5x) + (0.2x - 15)
P = (0.3x + 5x + 0.2x) + (24 - 15)
P = 5.5x + 9
Whats the answer? ( BRANLIEST )
Answer:
1/6a - 1/6
Step-by-step explanation:
-2/3a + 5/6a can be simplified:
1. Make a common denominator → -4/6a + 5/6a
2. Simplify '-4/6a + 5/6a' → 1/6a
Answer:
1/6a - 1/6
Answer:
[tex] - \frac{1}{6} (a +1 ) \\ [/tex]
Step-by-step explanation:
[tex] - \frac{2}{3} a + \frac{5}{6} a - \frac{1}{6} \\ - \frac{2 \times 2}{3 \times 2}a + \frac{5}{6} a - \frac{1}{6} \\ - \frac{4a + 5a}{6} - \frac{1}{6} \\ - \frac{1}{6} a - \frac{1}{6} \\ - \frac{1}{6} (a + 1) \\ [/tex]
A cube shaped block of ice has a mass of 59 kg. The density of ice is 917 kg per cubic meter. The mass of an object is the product of its density and its volume. Write a cubic function to model the mass of a block of ice in terms of its edge length x (in meters).
Using the density formula, the cubic function that models the mass of of a block of ice in terms of its edge length x is:
m = 917x³.
Using the function, the edge length of the block of ice is of 0.4 m.
What is the formula for the density of an object?The density of an object is given by the mass of the object divided by it's volume, as follows:
d = m/v.
Hence the mass of the object is given by the following equation:
m = dv.
For this problem, we have that:
The density of ice is 917 kg per cubic meter, hence d = 917.The block of ice has a cubic format, meaning that v = x³, in which x is the edge length.Hence the cubic function that models the mass of of a block of ice in terms of its edge length x is:
m = 917x³.
Considering the mass of the block of ice, the length is found as follows:
59 = 917x³
x = cubic root(59/917) -> (59/917)^(1/3) in any calculator
x = 0.4 m.
Using the function, the edge length of the block of ice is of 0.4 m.
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kyle wishes to purchase a used car that has a cash price of $12,000. the installment terms include a down payment of $3,000 and 48 monthly payments of $224.
what finance charge will kyle pay?
what is the APR to the nearest half percent?
Using simple interest and the information given, it is found that:
The finance charge was of $1,752.The APR was of 0.0365 = 3.65%.The cash price of the car is of $12,000.For they payment, there is a down payment of $3,000, plus 48 payments of $224, hence, the total payment is:
[tex]P = 3000 + 48(224) = 13752[/tex]
The finance charge is the total payment subtracted by the cash price, hence:
[tex]E = 13752 - 12000 = 1752[/tex]
The amount of simple interest accrued after t years, with an APR of r and an initial value of I, is:
[tex]E = Irt[/tex]
For this problem, we have that [tex]E = 1752, I = 12000, t = \frac{48}{12} = 4[/tex], hence:
[tex]E = Irt[/tex]
[tex]1752 = 12000(4)r[/tex]
[tex]r = \frac{1752}{48000}[/tex]
[tex]r = 0.0365[/tex]
The APR was of 0.0365 = 3.65%.
A similar problem is given at https://brainly.com/question/13176347
Please answer this question!!!
Answer:
C: 3x (x-3)=0
Step-by-step explanation:
3x=0 or x-3=0
x=0 or x=3
Please help! Not sure what the question is asking exactly and need this last problem done asap!
Answer:
look at the photo..............
9514 1404 393
Answer:
log₅(21) = log₅(3) +log₅(7)
Step-by-step explanation:
The relevant relation is ...
log(ab) = log(a) +log(b)
where the logs have any consistent base.
__
Here, we have ,,,
ab = 21 = 3·7.
Then ...
log(21) = log(3) +log(7)
When the logs are to base 5, that becomes ...
log₅(21) = log₅(3) +log₅(7)
Guys please help this is making my brain hurt I will give brainliest btw
Answer:
in order from the top down
2,5,1,4,5
2
73. A firm's profits equal $100 if
A. its total revenue is $100.
B. the sum of its total revenue and its total cost is $100.
C. the difference between its total revenue and its total cost is $100.
D. its total cost is $100.
Answer:
What is C. the difference between its total revenue and its total cost is $100.
Step-by-step explanation:
Revenue is the total amount of income generated by the sale of goods or services related to the company's primary operations. ... Profit is the amount of income that remains after accounting for all expenses, debts, additional income streams, and operating costs. Revenue-Sales= PROFIT
Please allow me to know if I have helped you by clicking thank you, rating or brainly.
Miss Hawaii
Write the equation of the line, given the y and x-intercepts. a x-intercept = –68, y-intercept = –34
Answer:
In slope-intercept form, y = -17/34 - 34
Step-by-step explanation:
For the two points, you have (-68, 0) and (0, -34). To get the slope, you take (y-y) / (x-x). Stay consistent on the order you do those. After I did (-34 - 0) / (0 - 68), simplified it, and got a slope of -17 / 34. You are already given the y-intercept, so you just write the equation from there (y = -17/34 - 34)
Can Somone plsss help me
Answer:
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Will give Brainliest! Performance Task Logistic Models. Graph Included
Use a graphing tool and the data provided in the table in Part one to write a logistic regression equation for the generation of wind in the state of Kansas.
Answer:
sorry I don't know you can tell answer
Answer:
I had the project and this is what I submitted. Make sure you rewrite it in your own words to avoid plagiarism and I got 100% on the assignment. Enjoy :)
Step-by-step explanation:
Had the project and all these answers are correct
What are the slope and y-intercept of the linear function?
2
-3 -2 -1.
2
оа
Oь
slope:-2: y-intercept: 2
1
slope: 2 :y-intercept: 1
Ос
1
slope: 2 :y-intercept: 2
slope: 2; y-intercept: 1
Od
If 25 metres of cloth costs Rs. 337. 50 , then the length of the cloth bought for Rs. 810 is
Answer:
19
Step-by-step explanation:
because it not it
Answer:
See below:
Step-by-step explanation:
So first, we can find out the cost for one meter of cloth by dividing 25 by 337.5 Rupees:
[tex]\frac{337.50}{25} = 13.50[/tex]
We now divide 810 by 13.50
[tex]\frac{810}{13.50} = 60[/tex]
We now get our answer of 60 meters!
Cheers!
If this helped you a lot be sure to mark as brainliest!
10
What is the volume of the rectangular prism,
if the length of one cube is 1 cm?
Answer:
60 cubic centimetres
Kiran has 27 nickels and quarters in his pocket, worth a total of $2.75.
a. Write a system of equations to represent the relationships between the
number of nickels n, the number of dimes d, and the dollar amount in
this situation.
Answer:
[tex]\begin{cases}n+d = 27\\0.05n+0.10d = 2.75\\\end{cases}[/tex]
====================================================
Explanation:
n = number of nickels
d = number of dimes
The n and d are placeholders for positive whole numbers.
Since we have 27 coins, we know that n+d = 27. The two subcounts must add to the grand total of 27. That explains how the first equation is set up.
The second equation is set up by looking at the dollar amount each group of coin brings in.
0.05n = amount of money in dollars the nickels bring in
0.10d = amount of money in dollars the dimes bring in
0.05n+0.10d = total amount of money in dollars = 2.75
The single curly brace to the left of the equations tells the reader we're dealing with a system of equations. The equations are tied together.
How many 0.25 are there in 10.5?
Answer:
42
Step-by-step explanation:
to find how many 0.25 there are in 10.5 we have to divide 10.5 by 0.25
10.5÷0.25
=42
Hope this helped you- have a good day bro cya)
I NEED A 100% ACCURATE ANSWER FOR THIS ASAP NO LINKS !!!
Solve the following: 15+6h=45+8h
1: h= 28
2: h= -30
3: h= 15
4: h= -15
Step-by-step explanation:
→ 15 + 6h = 45 + 8h
→ -8h + 6h = 45 - 15
→ -2h = 30
→ h = 30/-2
→ h = -15
hope this answer helps you dear...take care and may u have a great day ahead!
HELPP I HAVE 12 MINUTES LEFTT
Answer:
6
Step-by-step explanation:
When you need to estimate, if the number is .4 or below, bring it down (1.4 will now be 1.)
This goes for both 1.4
so, 1 + 1.
Next, you have 4.1 (which is also below .5, so .4 or below.)
It is 1 + 1 + 4.
That is 6. Hope this helps a bit ^^ :>
Answer:
(see explanation)
Step-by-step explanation:
Rounding to whole numbers,
1.4 rounds to 1
4.1 rounds to 4.
1+1+4 = 6
However, if you're rounding to the nearest 0.5,
1.4 rounds to 1.5
4.1 rounds to 4.0
1.5 + 1.5 + 4.0 = 7
Which expression is equivalent to (3a)-2?
O
o
3a2
ܝ | ܝ | ܚ| ܘ ܩ|ܛܘ
help me quick please --4x-7-3x+4=25
Answer:
x = 32Step-by-step explanation:
4x - 7 - 3x + 4 =25
=> 4x - 3x = 25 + 7
=> x = 32 (Ans)
A motorboat takes 4 hours to travel 192 kilometers going upstream.
The return trip takes 3 hours going downstream.
- What is the rate of the boat in still water?
- What is the rate of the current?
Answer:
Step-by-step explanation:
let b be boat velocity
let c be current velocity
(b - c)4 = 192
(b + c)3 = 192
(b - c)4 = (b + c)3
4b - 4c = 3b + 3c
b = 7c
(7c - c)4 = 192
(6c)4 = 192
24c = 192
c = 8 km/hr
b = 7(8) = 56 km/hr
Need Help ASAP! Not too hard
Answer:
Step-by-step explanation:
I will gladly give brainliest.
4 ( 2x - 3) -2 ( x + 1)
Answer:
6x - 14
Step-by-step explanation:
4(2x - 3) - 2(x + 1)
1. Expand both brackets
(8x - 12) - (2x + 2)
2. Simplify
8x - 2x = 6x
-12 - 2 = -14
Therefore, 4(2x - 3) - 2(x + 1) = 6x - 14
what is the purpose of using measures of variability?
If f(x) is a linear function, what is the value of n?
Х
-4
f(x)
1-25
-10
-1
n
20
2
4
9
Answer:
The value of n is 5.
Step-by-step explanation:
We have been given that f(x) is a linear function and we are asked to find the value of n from the provided table.
x f(x)
-4 -25
-1 -10
n 20
First of all we will find the slope of the given using our given points (-4,-25) and (-1,-10) in slope formula.
m = y2-y1/x2-x1
Upon substituting coordinates of our given points we will get,
m = -10--25/-1--4
m = -10+25/-1+4
m = 15/3
m = 5
Since we know that the equation of a line in slope-intercept form is:
y = mx + b,where, m= Slope and b= y-intercept.
Upon substituting m = 5 in slope-intercept form of equation we will get,
y = 5x + b
Now let us find y-intercept by substituting coordinates of one point in our given line.
-10 = 5(-1) + b
-10 = -5 + b
-10 + 5 = -5 + 5 + b
-5 = b
y = 5x - 5
Now let us find value of n by substituting x = n and y = 20 in our equation.
20 = 5 * n - 5
20 + 5 = 5 * n - 5 + 5
25 = 5 * n
25/5 = 5 * n/5
5 = n
Therefore, the value of n is 5.
0.25555555 as a fraction
Answer:
23/90
Step-by-step explanation:Sorry if it's wrong!!!
Solve. −2x−35=87 Enter your answer in the box. x =
Hello there! I am Grace Rosalia (SilentNature), and I hope my answer will help you! :)
-2x-35=-87
-2x=-87+35
-2x=-52
Divide both sides by -2 to isolate x:
x=26
Hope this helps you! :)
~Just a joyful teen
[tex]SilentNature[/tex]
The solution of the given equation is x = -21.
How to solve a linear equation?A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.
The given equation can be solved as follows,
−2x − 35 = 87
=> -2x = -35 + 87
=> -2x = 42
=> x = -42/2
= -21
Hence, the value of x for the given equation is -21.
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