Please solve questions 1 and 2
5 If g(x) = (934 + 5) (8x + 2), find g'(x). Question Help: D Video Find all critical values for f(x) = (x + 4)º(x + 9). The critical values occur at x = commas) . (Enter your an Question Help: Vide

Answers

Answer 1

Critical values are x = -4 and x = -22/3.

How to find out critical values for given equations?

1) To find g'(x) for g(x) = (934 + 5) (8x + 2), we first simplify the expression:
g(x) = (939)(8x + 2).

Now, we'll differentiate g(x) with respect to x:
g'(x) = d/dx [939(8x + 2)].

Since 939 is a constant, we can differentiate the remaining part:
g'(x) = 939 * d/dx (8x + 2).

Now, differentiating (8x + 2) with respect to x:
g'(x) = 939 * 8.

So, g'(x) = 7512.

2) For the function f(x) = (x + 4)²(x + 9), we need to find the critical values. Critical values occur when the first derivative, f'(x), is either equal to zero or undefined.

First, we find the derivative using the product rule. Let u = (x + 4)² and v = (x + 9). Then, we have:

u' = d/dx [(x + 4)²] = 2(x + 4),
v' = d/dx (x + 9) = 1.

Using the product rule, f'(x) = u'v + uv':
f'(x) = 2(x + 4)(x + 9) + (x + 4)².

Now, we need to find the values of x when f'(x) = 0:

0 = 2(x + 4)(x + 9) + (x + 4)².

We notice that the expression has a common factor of (x + 4):

0 = (x + 4)[2(x + 9) + (x + 4)].

Now, we have two factors, and we set each factor equal to 0:

x + 4 = 0 => x = -4,
2(x + 9) + (x + 4) = 0.

Solving the second equation:

2x + 18 + x + 4 = 0 => 3x + 22 = 0 => x = -22/3.

So, the critical values are x = -4 and x = -22/3.

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Related Questions

Tyler built a toy box in the shape of a rectangular prism with an open top. The diagram below shows the toy box and a net of the toy box. What is the surface area, in square inches, of the toy box?

Answers

Answer:482 in ^2

Step-by-step explanation:

HURRY PLS ANSWER NOW!!


What is the area of the trapezoid?

33 in2
52.5 in2
82.5 in2
91 in2

HURRY PLS ANSWER NOW!!What is the area of the trapezoid?33 in252.5 in282.5 in291 in2

Answers

Answer:

91 in2

Step-by-step explanation:

11+15 over 2 , times by 7 equals 91 ??

• James gets paid £400 by work – he saves
16% of this. How much does he save?​

Answers

Step-by-step explanation:

\( \underline{ \underline{ \text{Given}}} : \)

Total income : £ 400Percentage of money that he saves : 26%

\( \underline{ \underline{ \text{To \: find}}} : \)

Total amount of money that he saves

\( \underline{ \underline{ \text{Solution}}} : \)

\( \tt{16\% \: of \: 400}\)

⟷ \( \tt{ \frac{16}{100} \times 400}\)

⟷ \( \tt{ £ 64}\)

\( \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline { \tt{James \: saves \: \boxed { \: £\: 64}}}}}}}}\)

Hope I helped ! ♡

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Find the value of x in x + y = 9 and x - y = 2.5.553.5-5.5

Answers

Step 1

Given; Find the value of x in x + y = 9 and x - y = 2.

Step 2

Using the elimination method.

\(\begin{gathered} x+y=9 \\ + \\ x-y=2 \\ --------- \\ 2x\text{ +0=11} \end{gathered}\)

Hence,

\(\begin{gathered} 2x=11 \\ x=\frac{11}{2} \\ x=5.5 \end{gathered}\)

Answer;

\(x=5.5\)

I have no idea how to delete a question
This is the anthem
Told the world I need everything and some, yeah
Two girls that's a tandem
She gon' do all it for me when them bands come
Got it all, yeah I'm young, rich, and handsome
Uh, this s is not random
Everybody ain't got it, understand son, yeah
This s is not random
Woah okay
- G easy

Answers

Answer:

you cant

Step-by-step explanation:

good song

The manufacturer of a popular brand of markers is planning to release a new color. To determine which color to add, it mailed out surveys to 5,000 of its customers regarding the general color family they prefer. The returned results are shown in this pie chart.

A Pie Chart with four sections representing the color preferences Blues, Greens, Yellows, and Pinks

Based on the results, one member of the management team says they should choose the new color from the blue family of colors since a majority of people prefer those colors.

Another member doesn’t agree and thinks they should do more research. Which statements would support her request?

Answers

The percentage obtained from the pie chart for different colors are Blue =29%, Green = 25%, Yellow = 24%, & Pink = 22%.

As per the results of the survey, Blue color received 29% votes so it must be chosen as the new color for receiving majority votes but as the other three colors also received almost similar percentage of votes. So, the manufacturer must do more research in order to reach on any conclusion.

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The manufacturer of a popular brand of markers is planning to release a new color. To determine which

Simplify this expression. Assume that x is nonzero.
x^−11•x^2

Answers

Answer:

Step-by-step explanation:

I'm assuming that you meant:  x^(-11)*x^2.  Here there's a common base:  x.

Then this expression becomes x^(-11*2)*x^2.  We need only combine (add up) the exponents of x:  x^(-11*2)*x^2 = x^(-11 + 2) = x^(-9).  Use of parentheses as shown is important here.

Note that x^(-9) is the same as

         1

   ------------

        x^9

50 pht helppppppppppppppppppppppppppppppppppppppp

50 pht helppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

$1620

Step-by-step explanation:

The area of the lawn is a trapezoid.

Area of a trapezoid = \(\dfrac12(a+b)h\)

where a and b are the parallel sides (bases) and h is the height

Therefore,

\(area=\dfrac12(15+12) \times 10 = 135 \ m^2\)

If the price of sod is $12 per square meter, then

total cost = 135 x 12 = $1620

Answer:

Area=1/2(Sum of parallel sides)×Height

Area:-

\(\\ \tt\hookrightarrow \dfrac{1}{2}(15+12)\times 10=1/2(27)(10)=13.5(10)=135m^2\)

Now rate of cost is $12

Total cost=135(12)=1620$

According to the U.S. Geological Survey, there are over 300,000,000 cubic miles of water on the planet. How this number represented in scientific notation

Answers

Answer:

3.00x10^8

Step-by-step explanation:

So you want to make sure the number before the x10^ is beween 10 and 0 not including 10 and 0. So 1.00-9.99.

Move the demcil place up in 300,000,000 till your first number is between 1 and 9.99.

Then count how many places you moved it up, in this case 8

Add the amount of times you moved up to the x10^(in this space).

you answer is now 3.00 plus the x10^8

3.00x10^8

I generally need help

I generally need help

Answers

Answer:

24 units²

Step-by-step explanation:

4(12)/2=24

1) ab (c² + 1) - C (a² + b²)​

Answers

Answer:

(a+bc)(ac+b)

Step-by-step explanation:

Step 1:

abc²+ab+a²c+b²c

Step 2:

ab+a²c+abc²+b²c

Step 3:

a(ac+b)+bc(ac+b)

Step 4:

(a+bc)(ac+b)

So your final answer is:

(a+bc)(ac+b)

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a parameter represents: an unbiased estimator of the population mean. fixed characteristics of a population. certain characteristics of a random sample. fixed characteristics of a nonprobability sample. the geographical boundary of a population.

Answers

Parameter are values ​​that represents fixed characteristics of a population.

What is a parameter?

The parameter is an important component in statistical analysis because it describes fixed characteristics of the given population. The way to conclude the population characteristics is to perform statistical analysis on a sample of the population then calculate it with the parameter formula. The most commonly used parameters are mean, median, and mode. Data distribution of a ratio can be described by mean.  The Median is used to calculate the variables of data distribution which has a few data points that are different. Mode is used to know which number appears the most in a data distribution.

Based on statistical calculations from the existing population sample, conclusions can be drawn regarding the fixed characteristics of the entire population using parameters.

Hence, a parameter represents fixed characteristics of a population.

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Anne is 35 years old, Bob is 24 years old, Charlie has feature A, and Daniel doesn’t have feature A. You’re allowed to ask people how old they are and whether they have feature A. You want to conclusively test the hypothesis “among these four people, those above age 30 definitely have feature A”.
What’s the minimum number of people you have to ask?

One person

Two people

Three people

Four people
Clear
Which people do you ask?

Anne

Bob

Charlie

Daniel

Answers

Two people, Anne and Charlie.

Statistics

Given that Anne is 35 years old, Bob is 24 years old, Charlie has feature A, and Daniel doesn't have feature A, and you want to conclusively test the hypothesis “among these four people, those above age 30 definitely have feature A ”, to determine what's the minimum number of people you have to ask and which people do you ask, the following calculation must be performed:

Of the 4 people, 1 is over 30 years old and another has feature A, with which both should be considered for the study, while the other two do not meet the requirements. So, these two people would be Anne and Charlie.

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PLEASE HELP (85 points)
Part A: If (7^2)^x = 1, what is the value of x? Explain your answer. (5 points)
Part B: If (7^0)^x = 1, what are the possible values of x? Explain your answer. (5 points)

Answers

Part A

Answer: x = 0

--------------------

Explanation:

Anything to the 0th power exponent is equal to 1, as long as the base isn't 0 itself. So (7^2)^x = (7^2)^0 = 1.

=========================================

Part B

Answer: x = any real number you want

--------------------

Explanation:

The 7^0 evaluates to 1, due to the rule discussed back in part A.

This means (7^0)^x = 1 becomes 1^x = 1. We can replace x with any real number and we would have 1^x always evaluate to 1.

For instance, if x = 3, then 1^x = 1^3 = 1*1*1 = 1. Multiplying out a string of 1's leads to 1 as the final result. We could even have 1^0 and we'd still evaluate to 1.

Answer:

           Part A:   If (7^2)^x = 1,   ⇒   x=0            Part B:    If (7^0)^x = 1   ⇒   x∈R

Step-by-step explanation:

Part A: If (7^2)^x = 1, what is the value of x?

Any number (except 0) to the power of 0 gives 1 (Law of Exponents)

And there is no other power that gives 1 if base is not 1

7^2≠1 so x must be 0

Part B: If (7^0)^x = 1,  what are the possible values of x?

7^0 = 1 and 1 to any power always gives 1, so no mater what x we choose we always get 1

What is the value of the y-intercept for all proportional relationships?
a. 1/2
b. 1/1
c. 0
d. 2

Answers

Answer:

a : 2 , b : 1 , c : 0 , d : 0

Step-by-step explanation:

a: 2

b: 1

c: 0

d:0

Answer:

d .

Step-by-step explanation:

I went over it in class .

What two numbers will give me 16 multiplied and -10 added together?

What two numbers will give me 16 multiplied and -10 added together?

Answers

Answer:

-2,-8

Step-by-step explanation:

-2-8 = -10

-2*-8= 16

Answer:

-2 and -8

Step-by-step explanation:

1. First, let's find the factors of 16: 1, 2, 4, 8, 16.

This means that the factors of 16 (which are negative) are -1, -2, -4, -8, -16

2. Now, we have to find with factors add up to -10.

\(1 + 16 = 17\) \(2 + 8 = 10\) \(4 + 4 = 8\) \(-1 - 16 = -17\) \(-2 - 8 = -10\)

3. Great! Now that we found the two numbers that add to -10 and multiply to 16, the numbers are -2 and -8.

#94 will give brainliest to best answer!​

#94 will give brainliest to best answer!

Answers

Answer:

5/8

Step-by-step explanation:

There are 8 sections, and 4 sections that are 1, and 1 pink section. So adding these up, we get 5/8.

Hope this helped! :)

the quotient of a number n and "-3" is no less than 6. What is the value of n?

Answers

Answer: n >= -18

Step-by-step explanation:

n/-3 >= 6

(-3)      (-3)

n >= -18

Make g the subject of the formula.
w = 7 - \(\sqrt{7}\)

Answers

JAHAIQOWNWIWPSOENEJhaiwiejes

Can anyone help me solve this problem and explain how you got the answer I am pretty confused :(

Solve for X ____

Solve for Y ____

Can anyone help me solve this problem and explain how you got the answer I am pretty confused :(Solve

Answers

Step-by-step explanation:

since it is a right and isosceles triangle, therefore :

X = Y = (180-90)/2 = 90/2 = 45

X = 45°

Y = 45°

por favor ayúdeme!!​

por favor aydeme!!

Answers

Answer:

CHEEEEEEEEESE

Step-by-step explanation:

1 point
What are the two ways to show that a triangle is a right triangle?

Answers

If the triangle has a 90 degree angle or if all the angles add up to 180 degrees

which is a characteristic of any function created by the product of two linear factors?

Answers

The characteristic of any function created by the product of two linear factors has two x-intercepts.

According to the question;

We are required to determine which is a characteristic of any function created by the product of two linear factors.

The product of two linear factors results in a quadratic function.

Since a quadratic function is a polynomial of degree two, 2.

In essence, the resulting function created by the product of two linear factors has two x-intercepts.

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Select the correct answer.
Consider function f.



What is the domain of the linear piece?

Select the correct answer.Consider function f.What is the domain of the linear piece?

Answers

Answer:

(0, ∞)

Step-by-step explanation:

The linear portion is the part that is a straight line. The hole at x=0 indicates that the function is not defined at x=0. Therefore, the domain of the linear portion of the function shown is (0, ∞).

Answer choice C

The domain of the linear piece is (0,∞). So, the right option is C.

What are functions?

A function is a relation between a dependent variable (say f(x) ) and an expression of an independent variable (say x), used to determine the value of a dependent variable from a given value of an independent variable.

What is the domain of the function?

The domain of a function is the set of independent variables, where the value of the dependent variables is defined.

How do we solve the given question?

The linear part of the function starts from the point where x = 0 and then goes on for all positive values of x. At x = 0, the point on the graph is marked hollow, which represents that f(x) is not determined at x = 0.

So, the linear part of the function is defined for the values 0 < x < ∞, that is the domain of the linear piece of the function is 0 < x < ∞.

This can also be represented as (0,∞).

So the domain of the linear piece of the function f is (0,∞).

So, the right option is C.

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34% of all college students major in stem (science, technology, engineering, and math). if 40 college students are randomly selected, find the probability that

Answers

If the 34% of the college students major in STEM than the probability that exactly 15 of them major in STEM is 0.1162   .

In the question ,

it is given that ,

percent of students that major in STEM is = 34% ;

that means , p = 0.34 ; so , q = 0.6

number of students randomly selected (n) = 40 ,

By the Binomial Probability Distribution ,

we get ;

p(x = 15) = ⁴⁰C₅*(0.34)¹⁵*(0.66)²⁵

Simplifying the above value further ,

we get ;

p(x = 15) = 0.1162 .

Therefore , the required probability is 0.1162 .

The given question is incomplete , the complete question is

The 34% of all college students major in stem (science, technology, engineering, and math). if 40 college students are randomly selected, find the probability that exactly 15 of them major in stem  .

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express 121,200 in exponential (powers of 10) notation. express the earth sun distance in kilometers in powers of 10 notation.

Answers

The exponential form of given number 121200 is 1.212 × \(10^5\)

And the earth sun distance in kilometers in powers of 10 notation is 1.5 × \(10^8\)

For given question,

We need to express 121,200 in exponential (powers of 10) notation.

To use scientific notation, pick a value between 1 and 10, then multiply it by 10ˣ.

The number between 1 and 10 in 121200 is 1.212 with 5 decimal points.

So, the exponential notation of given number would be,

121,200 = 1.212 × \(10^5\)

Earth's average distance from the Sun is around 93 million miles (150 million kilometers). That's one AU.

So the number between 1 and 10 in 150,000,000 is 1.5, with 8 decimal points.

So, the distance between he Earth and the Sun is:

150,000,000 = 1.5 × 10⁸

Therefore, the exponential form of given number 121200 is 1.212 × \(10^5\)

And the earth sun distance in kilometers in powers of 10 notation is 1.5 × \(10^8\)

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change this root into a power

change this root into a power

Answers

The power of the root is 2.828

helpppppppppppppppppp asap

helpppppppppppppppppp asap

Answers

Answer:

97o im pretty sure

Step-by-step explanation:

Answer:

Your answer should be C

Step-by-step explanation:

63+44=107

does anyone know the answer to this?​

does anyone know the answer to this?

Answers

Answer:

it might be 48 seeing that 1/4 of df is dz so add zf to it and df should equal 48

Step-by-step explanation:

the heights of the adults in one town have a mean of 67.4 inches and a standard deviation of 3.4 inches. what can you conclude from chebyshev's theorem about the percentage of adults in the town whose heights are between 57.2 and 77.6 inches?

Answers

Using the concept of statistics, at least 88.9% adults heights are in between 57.2 and 77.6 inches.

First, we determine how many standard deviations from the mean the lower and upper limits are.

Lower limit 67.4 - 57.2 = 10.4

                                     =10.2 / 3.4 = 3 standard deviations.

upper limit 77.6 - 67.4 = 10.2

                                    =10.2 / 3.4 = 3 standard deviations.

When Chebyshev's theorem applies to all data sets and one of its claims is that at least 8/9 of the data points will lie within 3 standard deviations of the mean.

On converting the above data in form of percentage we get answer as

=(\(\frac{8.100}{9}\))

=88.9%

Hence, at least 88.9% adults heights are in between 57.2 and 77.6 inches. after applying Chebyshev's theorem.

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A friend who is not taking your biology course fills a cup with ice and then a drink. the friend asks you why the ice in the cup is floating, and you are able to say that:_________ The longest time a man could spend on the moon is approximately 3.124769 days. How long is this in (a) hours and (b) minutes? Neon and argon are both elements in a group of similar elements called noble gases. What properties do these elements have that make them unique?. as a red blood cell matures, it loses all of its dna. as a result, it __________. Stock DividendsTVX Company has the following composition in shareholder capital as of February 5:Common stock$10 par value, 150,000 shares authorized, 60,000 shares issued and outstanding$600,000Paid-in capital in excess of par value, common stock425,000Retained earnings550,000Total stockholders equity$1,575,000On February 5, the Board of Directors declared a stock dividend of 20% distributable to shareholders of record as of February 28. On February 5, the stock had a market value of $40 per share. The divisionwill be distributed on March 15.Prepare the required daily income entries on the following dates:February 5 Dividend Declaration DateFebruary 28 Record dateMarch 15 Dividend Distribution Date The sand is called sand because it is between the sea and the land? omGgG so... i lost my moms cat and she loves the cat more than me and he ran out the back door what do i do if i tell her imma get told that like i just always f up but if i leave the side door open a little and wait till morning i might not be in so much trouble because anyone could have went through the side door if p q, then -p -q What does an economist mean by the term land?goods and services that are produced from the landfood crops grown on farmland as well as the farmland itselfall natural resources used to produce goods and servicesfarmland only that's it can you did it? What do you think colleges can do to promote and keep their students from exposure to contagious diseases? Question 21 ptsWhich is an example of a comma splice error?Last night, we went to bed quite late.I had issues with the assignment, it didn't make sense to me.We were busy, busy, busy.I couldn't believe he did that, especially without permission. What was the main reason military spending increased under president reagan? o to fund efforts to establish peace in the middle east o to support friendly governments in central america and the caribbean o to counter the soviet military threat o to pay for military intervention in kuwait and iraq How does Sandra Cisneros use foreshadowing in "A House of My Own"?to add dramatic tension by building anticipation for future eventsO to give her work a poetic rhythm and paceto tell readers about events that happened in the pastto appeal to the fives senses of her readers You are given an array of arrays a. Your task is to group the arrays a[i] by their mean values, so that arrays with equal mean values are in the same group, and arrays with different mean values are in different groups. Each group should contain a set of indices (i, j, etc), such that the corresponding arrays (a[i], a[j], etc) all have the same mean. Return the set of groups as an array of arrays, where the indices within each group are sorted in ascending order, and the groups are sorted in ascending order of their minimum element.ExampleFora = [[3, 3, 4, 2], [4, 4], [4, 0, 3, 3], [2, 3], [3, 3, 3]]the output should bemeanGroups(a) = [[0, 4], [1], [2, 3]]mean(a[0]) = (3 + 3 + 4 + 2) / 4 = 3;mean(a[1]) = (4 + 4) / 2 = 4;mean(a[2]) = (4 + 0 + 3 + 3) / 4 = 2.5;mean(a[3]) = (2 + 3) / 2 = 2.5;mean(a[4]) = (3 + 3 + 3) / 3 = 3.There are three groups of means: those with mean 2.5, 3, and 4. And they form the following groups:Arrays with indices 0and 4 form a group with mean 3;Array with index 1 forms a group with mean 4;Arrays with indices 2and 3 form a group with mean 2.5.Note that neithermeanGroups(a) = [[0, 4], [2, 3], [1]]normeanGroups(a) = [[0, 4], [1], [3, 2]]will be considered as a correct answer:In the first case, the minimal element in the array at index 2 is 1, and it is less then the minimal element in the array at index 1, which is 2.In the second case, the array at index 2 is not sorted in ascending order.Fora = [[-5, 2, 3], [0, 0], [0], [-100, 100]]the output should bemeanGroups(a) = [[0, 1, 2, 3]]The mean values of all of the arrays are 0, so all of them are in the same group.Input/Output Which organelles' activity contributes most directly to muscle contraction in an earthworm? In which phases of the eukaryotic cell cycle does homologous recombination often occur to repair DNA damage?a)G1 and S phasesb)S and G2 phasesc)G2 and M phasesd)M and G1 phasese)G1 and G2 phases need help with math please Who holds the record for the most grand slams in baseball history? Place the stages of evolution of operations management in chronological order, with the oldest one listed first.