If f(x) = -3x4 - 2x3 + 3x2, and g(x) = 3x4 - 4x3 + x2 then f(x) + g(x) =​

Answers

Answer 1

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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 2

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


Related Questions


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.

Answers

Answer:

29) x> or equal to 0 and y= all real number

30) x= all real y> or equal to 0

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

Answers

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:

What’s the rule it’s algebra 1

Answers

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:

Help me please math is a pain...

Answers

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

Multiply 2 3/4 x 1 1/3. Write your answer in simplest form

Answers

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:

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.

Answers

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

Answers

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.

 

Need help with both 7 and 8

Answers

You are correct with both
7. Part 1: 15 mins x 7 days = 105 mins per week. Part 2: example- Veronica sold 15 cookies a day for 7 weeks, how many cookies did she sell? ( you just need to add the second part)
8. Part 1: 36 tables x 5 people = 180 people part 2: 288 divided by 36 = 8 people ( you got it right )

how do i solve intervals

Answers

Interval notation is a simplified form of writing the solution to an inequality or system of inequalities, using the bracket and parenthesis symbols in lieu of the inequality symbols. ... For example, the solution 3 < x < 5 is written (3,5) in interval notation, because x cannot be equal to 3 or 5.

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?

Answers

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]

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?

Answers

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.

Dylan $10.5 per hour
Angela $17.5 per hour
no its not proportional because half of 50 is 25 so therefore 42 would not be prportional to 25

What expression equals to 3^15

Answers

Answer:

14348907

Step-by-step explanation:

That's the right answer

5 times 3 = 15 or 13+ 2 hope this helped

help wil give brainly if right

Answers

Answer:

I think it B as well as the other person I just learned this so I'm not the best at it

2.5 puzzle time Which month has 28 days

Answers

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.

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.

Answers

Answer:

B, Up 5 units

Step-by-step explanation:

because of the +

Simplify the expression and enter your answer below.
(191/99

Answers

Answer:

the correct answer is 1 92/99

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.​

Answers

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: (-∞,∞)

what is the slope of the line that contains these points? please help

Answers

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

841/4 how much is it

Answers

Answer:

210.25

Step-by-step explanation:

841/4=210.25

Please help me be right! Ordered pairs

Answers

Answer:

the answer is C

Step-by-step explanation:

both the ordered pair satisfy the equation

Which statement is true?

Answers

Answer:a

Step-by-step explanation:because the number equals the letter.

What is the product?​

Answers

This is the product for the answer you need just press on it.

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

Answers

Answer:

I need more too lol the answer is 4

the answer is four loll

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%

Answers

Should be B I think

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.

Answers

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

what is 1423 divided bye 789

Answers

Answer:

1.8

Step-by-step explanation:

Answer:

use calculator

Step-by-step explanation:

search calculator on google

please help ??? Thanks ​

Answers

It is top left ok try it

Answer:

Each y- value is determined by adding 4

Step-by-step explanation:

what is 3.14 x 11 x2

Answers

Answer:jurrhthrhth

Step-by-step explanation:hdhdbbdfh

Answer:

69.08

Step-by-step explanation:

I hope this helped!

Cost of bowling if it is $3 per game and $5 for shoes. Find the linear equation.

Answers

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.

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.

Answers

Answer: 125 I think

Step-by-step explanation:

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