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[tex]f(x) = - 3 {x}^{4} - 2 {x}^{3} + 3 {x}^{2} [/tex]
[tex]g(x) = 3 {x}^{4} - 4 {x}^{3} + {x}^{2} [/tex]
[tex]f(x) + g(x) = - 3 {x}^{4} - 2 {x}^{3} + 3 {x}^{2} + 3 {x}^{4} - 4 {x}^{3} + {x}^{2} \\ [/tex]
[tex]f(x) + g(x) = - 3 {x}^{4} + 3 {x}^{4} - 2 {x}^{3} - 4 {x}^{3} + 3 {x}^{2} + {x}^{2} \\ [/tex]
[tex]f(x) + g(x) = - 6 {x}^{3} + 4 {x}^{2} \\ [/tex]
Done....
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Answer:
_
1-+\|13
x= -------- or x1= - + 0.434259, x2=0
6
Step-by-step explanation:
1. collect terms
2. factor the expression
3. divide both sides
4. separate into possible cases
5. solve the equation
6.Equation has 3 solution
What is the product?
Plz solve for brainlistMarlene runs 4 km in 30 min. At this rate,
can Marlene run 6 km in 45 min?
Complete the following calculation an
d
explanation. Use the Communication
Checklist.
Answer:
comparing rates.. use the formula d = r * t where d= distance , r = rate or speed and t = time ofc. :)
Step-by-step explanation:
we know the distance and the time but not the rate.. find that r ....
d/t = r 4/30 = r = 0.13333333333 this is in Km per minute, b/c the 4 is Km and the 30 is in minutes. Units are not to important other than keeping track of what they are.
Now we can answer the question can Marlene run 6 Km in 45 mins. b/c we know her rate , or speed, so at her rate of 0.133333333 Km/min and using that d = r * t formula what is her distance in 45 minutes.. so multiply 45 * 0.133333= 6 so she runs exactly 6 Km in 45 minutes.. so the math answer is yes
An environmental engineer is tasked with determining whether a power plant cooling system is heating the water it uses more than allowed by environmental regulations. They measure water temperatures at the cooling system input and the cooling system output for several different days in several different seasons. A list containing these measurements is below:
Sample Input Temp (deg F) Output Temp (deg F)
1 57.6 65.1
2 68.9 74.4
3 68.1 74.7
4 47.7 55.4
5 48.1 51
6 67.2 71.9
7 69.9 79.2
8 48.1 57.2
9 35 41.4
10 56 61
11 44.3 50.8
12 65 70.5
13 48.3 56.9
14 54.9 61.7
15 60.4 67.3
Do a statistical analysis on this data to determine if the temperature change between the input and output of the cooling system is different than 6 degrees.
1. What does your analysis indicate?
a. The cooling system changes the temperature of the water by an amount different than 6 degrees.
b. The cooling system changes the temperature of the water by 6 degrees.
2. What is the P-Value associated with your decision above?
a. 0.001
b. 0.026
c. 0.049
d. 0.070
e. 0.110
f. 0.131
g. 0.148
h. 0.201
i. 0.278
j. 0.289
Answer:
1
The correct option is b
2
The correct option is h
Step-by-step explanation:
From the question we are told that
The sample size is n = 15
The difference in population proportion is [tex]d = 6[/tex]
Generally the sample mean of the input temperature is
[tex]\= x_1 = \frac{\sum x_i }{n}[/tex]
=> [tex]\= x_1 = \frac{57.6 + 68.9 + \cdots +60.4 }{15}[/tex]
=> [tex]\= x_1 = 62.57 [/tex]
Generally the sample mean of the output temperature is
[tex]\= x_2 = \frac{\sum x_i }{n}[/tex]
=> [tex]\= x_2 = \frac{65.1 + 74.4 + \cdots +67.3 }{15}[/tex]
=> [tex]\= x_2 = 55.97 [/tex]
Generally the difference of the sample mean of the input temperature and that of the output temperature is
[tex]\= d = \= x_1 - \= x_2[/tex]
=> [tex]\= d = 62.57 -55.97[/tex]
=> [tex]\= d = 6.6[/tex]
Generally the standard deviation is mathematically represented as
[tex]s_d = \sqrt{\frac{\sum(d_1 - \= d )^2}{n} }[/tex]
=> [tex]s_d = \sqrt{\frac{([57.6- 65.1]- 6.6)^2+ ([68.9 - 74.4]- 6.6)^2 + \cdots + ([60.4 - 67.3]- 6.6)^2 }{15} }[/tex]
=> [tex]s_d = 1.732 [/tex
Generally the test statistics is mathematically represented as
[tex]t = \frac{ d - \= d }{ \frac{s_d}{\sqrt{n} } }[/tex]
=> [tex]t = \frac{ 6-6.6 }{ \frac{1.732}{\sqrt{15} } }[/tex]
=> [tex]t = 1.3417[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n - 1[/tex]
=> [tex]df = 15 - 1[/tex]
=> [tex]df = 14[/tex]
Generally the probability of t obtained from the t - distribution table at a degree of freedom of [tex]df = 14[/tex] is
[tex]P(t >1.3417 ) = 0.10052569[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(t > 1.3417)[/tex]
=> [tex]p-value = 2 * 0.10052569[/tex]
=> [tex]p-value = 0.201 [/tex]
From the values obtained we see that [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
The cooling system changes the temperature of the water by 6 degrees.
What expression equals to 3^15
Answer:
14348907
Step-by-step explanation:
That's the right answer
Please help me be right! Ordered pairs
Answer:
the answer is C
Step-by-step explanation:
both the ordered pair satisfy the equation
help wil give brainly if right
Answer:
I think it B as well as the other person I just learned this so I'm not the best at it
PLEASE HELP!!! I DON’T KNOW THISSS
Jenny has only 3 1/2 cups of flour in her house. She needs 1 5/8 cups for a brownie recipe. Her sister Jody needs 1 3/4 cup flour for her cookie recipe. Will there be enough flour for both recipes?
Answer:
yes, she will still have 1/8 of a cup left
Step-by-step explanation:
you have to convert all the fractions to have the same denominator.
to do that you need improper fractions
3 1/2= 7/2
1 5/8= 13/8
1 3/4= 7/4
with this information, you need to find a common number between 2, 8, and 4. the largest number that they all fit into is 8.
so 7/2 becomes 28/8
13/8 stays the same
and 7/4 becomes 14/8
add 13/8 and 14/8 and subtract from 28/8
you get 1/8, which means you have enough flower for both recipes!
Answer:
[tex]YES.[/tex]
Step-by-step explanation:
[tex]if \: 1 \frac{5}{8} + 1 \frac{3}{4} = 3.375 \\ and \\ 3 \frac{1}{2} = \: 3.5 \\ then \: 3.5 > 3.375[/tex]
what is 1423 divided bye 789
Answer:
1.8
Step-by-step explanation:
Answer:
use calculator
Step-by-step explanation:
search calculator on google
841/4 how much is it
Answer:
210.25
Step-by-step explanation:
841/4=210.25
please help ??? Thanks
Answer:
Each y- value is determined by adding 4
Step-by-step explanation:
Dylan makes $336 for 32 hours of work, and Angela makes $420 for 42 hours of work.
1] How much do Dylan and Angela each make per hour?
2] Is Dylan’s wage for 25 hours proportional to Amber’s wage for 42 hours? Why or why not?
Answer:
Step-by-step explanation:
1 . Dylan : $336/32 hrs = 10.50/ hr Angela : $420/42hrs = $ 10.00/hr
2. No because $ 10.50x25 262.50 where ambers is 15 420 there unit rate is different.
The daily high temperatures in a vacation resorts in approximately normal, with a mean temperature of 75 Fahrenheit and a standard deviation of 6 degrees. What percentage of days have a high temperature between 66 and 88?
A.17.01%
B.35.62%
C.64.37%
D.72.99%
Simplify the expression and enter your answer below.
(191/99
Answer:
the correct answer is 1 92/99
Help me please math is a pain...
Answer:
D
Step-by-step explanation:
The degree of 10 moves the decimal. As we are multiplying, move the decimal 5 places to right.
Pls mark me brainliest
Answer:
Answer is D (750,000)
Step-by-step explanation:
Basically you do 10^5 = 10 x 10 x 10 x 10 x 10 to get 100,000 then you multiply by 7.25 lol
Find the domain and the range of each relation. Use the vertical
Line test to determine whether each graph is the graph of a function.
Answer:
29) x> or equal to 0 and y= all real number
30) x= all real y> or equal to 0
2.5 puzzle time Which month has 28 days
Answer:
February has 28 days on every year except a leap year, but all months have at least 28 days.
Step-by-step explanation:
Answer:
February is the answer
Step-by-step explanation: hope this helps.
Cost of bowling if it is $3 per game and $5 for shoes. Find the linear equation.
Answer:
y=3x+5
Step-by-step explanation:
Depending on how many games he has played that number where the x is. So let’s say he plays two games so what you’re going to do is plug the two in for the X so then it would be 2×3 which is 6 then you would do 6+5 because you still have the 5 left and it says to add.
That should be right and follow me if this helps.
Need help with both 7 and 8
How do we shift the graph of y=f(x) to get the graph of y = f(x) +5?
A Move the graph down by 5 units.
B Move the graph up by 5 units.
Answer:
B, Up 5 units
Step-by-step explanation:
because of the +
what is 3.14 x 11 x2
Answer:jurrhthrhth
Step-by-step explanation:hdhdbbdfh
Answer:
69.08
Step-by-step explanation:
I hope this helped!
how do i solve intervals
Multiply 2 3/4 x 1 1/3. Write your answer in simplest form
so , bro to multripy fractions , you have to convert the mixed fraction into unlike fractions . so lets get started.
2 3/4 * 1 1/3
= 12 / 4 * 4/3
now multiply normally
= 48 / 12
divide this by 4/4 to get simplest for
= 12 / 3 divided by 3/3
= 4/1
Step-by-step explanation:
2+2 this is for that one guy that answered my question he needs some more points and answers so imma help him out
I think it’s a boy honestly Idk
Answer:
I need more too lol the answer is 4
A 33 pound bag of grass seed holds 2 pounds less than 5 smaller bags of seed. Find the weight of the smaller bag of seed.
Answer:
7 pounds
Step-by-step explanation:
33+2=35....35/5=7
Answer:
The answer is 7.
Step-by-step explanation:
33 + 2 = 35
35 ÷ 5 = 7
11. Given a polynomial P(x) = x³-4x²-5x is one of the zeroes.
a) Factorise P(x) completely
b) Sketch the graph of P(x)
C)Find the domain and range.
Answer:
thats some tuff
Step-by-step explanation:
Answer:
Step-by-step explanation:
P(x)=x³-4x²-5x=x(x²-4x-5)
=x(x²-5x+x-5)
=x[x(x-5)+1(x-5)]
=x(x-5)(x+1)
domain (-∞,∞)
range: (-∞,∞)
PLEASE HELP These equations represent different possibilities for a waiter earning $11.25 for waiting on one table for one hour. The constant is the hourly rate and the coefficient represents the fraction of the bill, b, the customers left as a tip. Which equation correctly represents the hourly rate and tip for a bill of $30.00?
A. 5.00 + 1/6 b = 11.25
B. 5.25 +1/3 b = 11.25
C. 5.25 + 1/5 b = 11.25
D. 6.00 + 1/8 b = 11.25
Answer:
C
Step-by-step explanation:
Just took test n got it right
Answer:
C. 5.25 + 1/5 b = 11.25
Step-by-step explanation:
Which statement is true?
Answer:a
Step-by-step explanation:because the number equals the letter.
Mr. Martin bought a microwave that was originally priced at $225. Using a coupon, he received a 30% discount on the microwave. What is the total price Mr. Martin will pay at the register if there is a 6% sales tax. Round your answer to the nearest cent if necessary.
Answer: 125 I think
Step-by-step explanation:
What’s the rule it’s algebra 1
Answer:
An algebraic rule is a mathematical expression that relates two variables and is written in the form of an equation. There are many constant algebraic rules, such as area = length x width. You can also create your own rule when given a set of variables
Step-by-step explanation:
what is the slope of the line that contains these points? please help
Answer:
Plug in to find out
Step-by-step explanation:
Pick 2 complementary sets of coordinates
For this Q i am picking (36,8) & (31,10)
[tex]m=\frac{y2-y1}{x2-x1}[/tex] <-- this is the slope formula
Plug in the values and divide.
Answer:
Step-by-step explanation:
(8-10)/(36-31)= -2/5 is the slope