Let y=r(x) be continuous and differentiable. Assume r'(x)=0 r′(x)=0 at x=ax=a.
If r'(x)<0 before x=a and r'(x)>0 after x=a

what must be true about r(a)?r(a)?
Choice 1: r(a) is a maximum value
Choice 2: r(a) is a minimum value
Choice 3: cannot determine based on this information

Answers

Answer 1

Answer:

am in callege i need points really much

Step-by-step explanation:


Related Questions

you found a recipe which calls for 1/2 pound of chicken per person, if 4 pounds of chicken costs $8, what is the cost per person for the recipe you are using?

Answers

9514 1404 393

Answer:

  $1 per person

Step-by-step explanation:

The per-person cost (x) can be found from the proportion ...

  x/(0.5 lb) = $8/(4 lb)

Multiplying by 0.5 gives ...

  x = (0.5 lb) × ($8 /(4 lb)) = $1 . . . . . . units of lb cancel

The cost per person will be $1.

Determine the inverse of the function f(x) = 3(x - 4)^2 + 5.

Answers

f(x) as given has no inverse. We see that, for instance, f(1) = f(7) = 32; that is, two different values of x give the same value of f(x), so f is not one-to-one.

We can however restrict the domain over which f is defined to extract an invertible function. One such choice would be to restrict to the interval x ≥ 4, which I'll demonstrate below.

Recall the definition of function inverse:

f(f^(-1)(x)) = x

Then for this function, we have

3 (f^(-1)(x) - 4)² + 5 = x

3 (f^(-1)(x) - 4)² = x - 5

(f^(-1)(x) - 4)² = (x - 5)/3

√((f^(-1)(x) - 4)²)= √((x - 5)/3)

For all x, √(x²) = |x|. Then √((f^(-1)(x) - 4)²) = |f^(-1)(x) - 4|, but by restricting x ≥ 4, or x - 4 ≥ 0, we have the condition that f^(-1)(x) - 4 ≥ 0, and so by definition (of the absolute value function) the absolute value reduces to the positive case. In short, we end up with

f^(-1)(x) - 4 = √((x - 5)/3)

and hence the inverse

f^(-1)(x) = √((x - 5)/3) + 4

613209x659832=?
If you answer this correct congrats you're a genius
(and yes its possible I solved myself)

Answers

Answer:

4.046149209.iS it correct?

Answer:

[tex]4,046149209.10^{11}[/tex]

Step-by-step explanation:

using computer pocket :))

need help, im confused​

Answers

Answer:

  Part A: correct

  Part B: $20

Step-by-step explanation:

Part B:

The amount Vanessa pays for her printer and 2 cartridges is ...

  $90 +2(25) = $140

The amount Tia pays for her printer and 2 cartridges (c=2) is ...

  t = 80 +20(2) = 120 . . . . dollars

Then the difference in the amounts they pay is ...

  $140 -120 = $20

63% to fraction
[tex] \frac{63}{?100} [/tex]

Answers

Follow the steps mentioned below to write 0.63 as a fraction.

Step 1: Determine the number of digits after the decimal point in the decimal number. Here, there are 2 digits after the decimal point.

Step 2: Remove the decimal point and write the number by the power of 10 which is equal to the number of digits after the decimal point. So, here we will divide 63 by 102

Step 3: Express the fraction in simplified form.

So, 0.63 as a fraction is,

0.63 = 63/100

1 out of 5 apple were rotten . If 284 were edible, how many apples were harvested?

Answers

Answer:

200 apple yet to go byhfhhf

4:5 are not rotten
284/4 = 71
5x71 (out of the ratio 4:5) = 355
Therefore 284:355,
355 apples were harvested, 284 edible, 71 rotten

What is the equation of the line??

Answers

Answers:

m = -2/3

b = 1

equation:  y = (-2/3)x + 1

This is the same as writing [tex]y = -\frac{2}{3}x+1[/tex]

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

Explanation:

There are a few approaches, but I like to start at the y intercept whenever it is an integer. The y intercept is where the diagonal line crosses the vertical y axis. In this case, that location is (0,1) telling us that b = 1 is the y intercept.

From that starting anchor point, we need to find a way to get to another point on this line. There are a few ways to do this, but we can move down 2 and to the right 3 units to go from (0,1) to (3,-1). This "down 2 right 3" motion directly leads to the slope of rise/run = -2/3

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

Alternatively, you can start at something like (-3,3) and move down 4 and move right 6 to arrive at (3,-1). Note how rise/run = -4/6 = -2/3. No matter where you start, moving along this line will involve a "down 2 right 3" movement pattern. Be sure to reduce any fractions as much as possible.

Yet another alternative is to apply the slope formula using any two points on the line. Preferably they have integer coordinates.

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

However you determine the slope, it's m = -2/3 after fully reducing. It along with b = 1 is plugged into y = mx+b to get y = (-2/3)x+1 as the equation of this line. It's in slope intercept form.

A definition of a statistical question is given below.
Statistical question:
Any question whose answer could involve working with more than one data value.
In each situation below, determine whether the question is a statistical question.

Answers

Answer:

I dont know

Step-by-step explanation:

First 2 are statistical, because you are asking more than one person, which will result in more than one number(more than one data value)

The other questions are about one person asking one other person about something to get numerical data.
If you only ask 1 person, you will have 1 answer. 1 answer is one data value, but statistical questions must have more than one data value.

The Shah family uses up 1/2-gallon jug of milk every 3 days. At what rate do they drink milk?

Answers

Answer:

1 Gallon per 6 days

Step-by-step explanation:

1/2 *2 = 1

3*2 =6

Answer:

1/6 Gallons of Milk per Day

Step-by-step explanation:

1/2 / 3 = 1/6

(3)a train travel 252 km in 42 hours. what amount of time will it take to complete a journey of 350km. (4) calculate the cost of 15 article at $1.95 each cost. (5) if 25 article cost 43.75 how much does each cost. (6) A car travel 240km on 20 liter of petrol. how many liters of petrol is needed to travel 600km​

Answers

Answer:

(3)

Distance the train can travel=252km

Distance the train can travel in 1 hour=252÷42=6km

The time needed to cover 350km= 350÷6=58.4 hours.

(4)

The cost of 1 articles=$1.95

The cost of 15 articles= 15(1.95)=$29.25

(5)

Cost of 25 articles= 43.75

Cost of 1 article= 43.75/25=1.75

(6)

Liters of petrol needed when a car travels 240km=20litre

liters of petrol needed when a car travels 600km= 20/240 x600

20/24x60

20/4x10

5x10=50liter

The table below represents which equation?

Answers

Answer:

the third answer is correct

Step-by-step explanation:

the starting point is 2 and it goes up by 3

i inserted a picture of the question could you please make it short.

Answers

Answer

B) 6²

E) 36

Step-by-step explanation:

[tex]6^{7}[/tex] / [tex]6^5[/tex] = 6^(7-5) =

6² = 36

if a shirt is 50$ and is on sale for 20% off how much wil you pay with 6% sales tax

Answers

Answer:

42.4 is the correct answer to this question

x + 3 ? 3 = x what factor do I use in between 3 and 3

Answers

Answer:

1 or 3

Step-by-step explanation:

factors of 3 r 1 and 3

that's why 3 is a prime number

Use elimination to solve.
3y-6x=7
-4y-3x=9

Answers

Answer:

x = -5/3, y = -1 or [tex](-\frac{5}{3}, -1)[/tex]

Step-by-step explanation:

Solving systems of linear equations using process of elimination involves eliminating one of the variables (and its coefficient) in order to solve the other variable either through addition or subtraction. However, there may be other mathematical operations necessary before one of the variables can be eliminated.  

Equation 1:   3y - 6x = 7

Equation 2:  -4y - 3x = 9          

Step 1:  Multiply Equation 2 by -2:

(-2)(-4y - 3x) = 9 (-2)

8y + 6x = -18

Step 2: Add "8y + 6x = -18" to Equation 1:

  8y + 6x = -18

+ 3y - 6x = 7

11y = -11

Step 3: Divide both sides by 11 to solve for y:

[tex]\frac{11y}{11} = \frac{-11}{11}[/tex]

y = -1

Step 4: Substitute y = -1 into Equation 2 to solve for x:

-4(-1) - 3x = 9      

    4 - 3x = 9

Step 5: Subtract 4 from both sides:

    4 - 4 - 3x = 9 - 4

   - 3x = 5

Step 6: Divide both sides by -3 to solve for x:

[tex]\frac{-3x}{-3} = \frac{5}{-3}[/tex]

[tex]x = - \frac{5}{3}[/tex]

Verify whether the values for x and y are correct by substituting their values into both equations:

x = -5/3, y = -1

Equation 1:   3y - 6x = 7

[tex]3(-1) - 6(-\frac{5}{3}) = 7[/tex]  

-3 + 10 = 7

7 = 7 (True statement).

Equation 2:  -4y - 3x = 9          

-4(-1) - 3 (-5/3)  = 9          

[tex]-4(-1) - 3(-\frac{5}{3}) = 9[/tex]

4 + 5 = 9

9 = 9  (True statement).

Therefore, x = -5/3 and y = -1 are the solutions to the given systems of linear equations.  

Jaxon's start-up business makes a profit of $500 during the first month. However, the company records a profit of -$50 per month for the next eight months and a profit of $175 for the final month. What is the total profit for the first ten months of Jaxon's business?

Answers

Answer: 275$

Step-by-step explanation:

500

-50 x 8 = -400

500 - (-400) = 100

100 + 175 = 275$

Answer:  $275

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

Explanation:

The first month has a profit of +500 or simply 500.

The next 8 months have a profit of -50 per month, so we have -50*8 = -400 in profit here. A negative profit indicates debt. So far, the profit is 500 + (-400) = 500 - 400 = 100 dollars. This result is positive, so the company is in good shape so far.

It gets in better shape when adding on the final 175 profit from the tenth month. The final profit is 100+175 = 275 dollars

PLEASE HELP ITS DUE NOW!!!!!!
WILL MARK BRAINLIEST!!!!!

Answers

Answer:

(- 4, - 10 )

Step-by-step explanation:

y = 5x + 10 → (1)

y = 4x + 6 → (2)

Substitute y = 5x + 10 into (2)

5x + 10 = 4x + 6 ( subtract 4x from both sides )

x + 10 = 6 ( subtract 10 from both sides )

x = - 4

Substitute x = - 4 into either of the 2 equations and evaluate for y

Substituting into (1)

y = 5(- 5) + 10 = - 20 + 10 = - 10

solution is (- 4, - 10 )

>> Answer

__________

[tex] \: [/tex]

[tex] \sf{y = 5x + 10...(1)}[/tex]

[tex] \sf{y = 4x + 6...(2)}[/tex]

Subtitute (1) to (2)

[tex] \sf{y = 4x + 6}[/tex]

[tex] \sf{5x + 10 = 4x + 6}[/tex]

[tex] \sf5x - 4x = 6 - 10[/tex]

[tex] \sf{x = - 4}[/tex]

.

Subtitute x = -4 to (1)

[tex] \sf{y = 5x + 10}[/tex]

[tex] \sf{y = 5( - 4) + 10}[/tex]

[tex] \sf{y = - 20 + 10}[/tex]

[tex] \sf{y = - 10}[/tex]

.

[tex] \longmapsto \sf{( - 4 , - 10)}[/tex]

The number of coupons x used by a customer in a grocery store is a random variable with the probability density function f(x) = 4x + 3 27 , [0, 3] Find the expected number of coupons a customer will use.

Answers

Applying the integral formula, it is found that the expected number of coupons a customer will use is of 1.83.

The probability density function is given by:

[tex]f(x) = \frac{4x + 3}{27}, [0,3][/tex]

The integral formula for the expected value is:

[tex]E(x) = \int_0^3 xf(x) dx[/tex]

Hence, applying the formula for f(x) given in this problem, the expected number of coupons a customer will use is:

[tex]E(x) = \int_0^3 \frac{4x^2}{27} + \frac{x}{9} dx[/tex]

[tex]E(x) = \frac{4x^3}{81} + \frac{x^2}{18}|_{x = 0}^{x = 3}[/tex]

[tex]E(x) = 1.83[/tex]

The expected number of coupons a customer will use is of 1.83.

A similar problem, which also involves the calculation of the expected value via integral, is given at https://brainly.com/question/14263236

Brainiest for answer as always

Answers

x = 33
X can Be mirrored vertically and then is supplementary to x

Answer:

X=33

Step-by-step explanation:

Hope this helps!!!

Simon is driving his car on a highway at a constant speed. The below table shows the relationship between the amount of
gasoline left in his car and the distance traveled on the highway.

Answers

Answer:

ccccccccccccccccccccccccccc

(9 + 31 + 5)[(7 x 5) x 4]

Answers

Answer:

The answer to your question is (7.5.4

There are about 3 × 1020 gallons of salt water on the earth, while there are about 6 × 1018 gallons of fresh water. About how many times the amount of fresh water is the amount of salt water? 200 times the amount 500 times the amount 2 times the amount 50 times the amount

Answers

Answer C

Step-by-step explanation:

Write the number for six million fifty thousand.

Answers

Answer:

6,050,000

Step-by-step explanation:

Answer:

6,500,000

Step-by-step explanation:

I can use structure to decide where to place the first digit in a quotient. A strongly agree B. agree C. disagree qD. strongly disagree​

Answers

Answer: For this question, it's just like a self-survey. If you understand this concept strongly or not really, you go with that answer like strongly agree, agree, etc.

1)cot a/2 -tan a/2 = 2 cot a
2) cot b/2 + tan b/2= 2 cosec b
prove​

Answers

1)

LHS = cot(a/2) - tan(a/2)

= (1 - tan^2(a/2))/tan(a/2)

= (2-sec^2(a/2))/tan(a/2)

= 2cot(a/2) - cosec(a/2)sec(a/2)

= 2(1+cos(a))/sin(a) - 1/(cos(a/2)sin(a/2))

= 2 (1+cos(a))/sin(a) - 2/sin(a)) (product to sums)

= 2[(1+cos(a) -1)/sin(a)]

=2cot a

= RHS

2.

LHS = cot(b/2) + tan(b/2)

= [1 + tan^2(b/2)]/tan(b/2)

= sec^2(b/2)/tan(b/2)

= 1/sin(b/2)cos(b/2)

using product to sums

= 2/sin(b)

= 2cosec(b)

= RHS

painter has a 24-foot ladder that he is using to paint a house. For safety reasons, the ladder must be placed at least 8 feet from the base of the side of the house. To the nearest tenth of a foot, how high can the ladder safely reach?

Answers

Answer:

this is a pythagorean theorem problem. 24 is the whole ladder, and if you draw it out, is a hypotenuse. 8 is a leg. . so 8^2 + b^2 = 24^2

b^2 = 512, so b = sqrt(512) = 22.6

Which inequality is true when the value of d is 14?
−d−9>−1.5
−d−9<1.5
−d−9>1.5
d−9<−1.5

Answers

Answer:

-d - 9 < 1.5

Step-by-step explanation:

In this problem, my reasoning is shown below for each individual inequality. We can test each one to see if it is true or not.

[tex]-(14)-9>1.5?\\-14-9>1.5?\\-23>1.5?\\[/tex]

-23 is not greater than 1.5, so it can't be the first one. Let's try the next one.

[tex]-(14)-9<1.5?\\-14-9<1.5?\\-23<1.5?[/tex]

Yes! -23 is smaller than 1.5. So we can say that the second option is correct. But just for good measure, we can try the other two.

[tex]-(14)-9>1.5?\\-14-9>1.5?\\-23>1.5?[/tex]

Nope! -23 is not greater than 1.5. Let's try the last one.

[tex]14-9<-1.5?\\5<-1.5?[/tex]

And again... nope. 5 is not smaller than -1.5. So our reigning option is -d - 9 < 1.5. Hopefully this was helpful! If you have any more questions, let me know.

−d−9<1.5 inequality is true when the value of d is 14.

What is Inequality?

a relationship between two expressions or values that are not equal to each other is called 'inequality.

We have to check the inequality which is true for d when it is 14.

−d−9>−1.5

-14-9>-1.5

-23>-1.5

The first option is false.

−d−9<1.5

-23<-1.5

So the inequality −d−9<1.5 is true for d=14.

−d−9>1.5

-23>1.5

The inequality is false.

d−9<−1.5

14-9<-1.5

5<-1.5

The inequality is false.

Hence, −d−9<1.5 inequality is true when the value of d is 14.

To learn more on Inequality click:

https://brainly.com/question/28823603

#SPJ2

Hi, someone else asked this question and I know that the answer is 6, but don’t know why. Could someone explain this for me, please? If you can make me understand I’ll give you brainliest…

Answers

Answer:

6

Step-by-step explanation:

I'm not exactly sure, but since 6 is the only number missing from this pattern, wouldn't it make sense for the answer to be 6?

Find the perimeter of the rectangle

Answers

Solution:We know, perimeter of a rectangle = 2(length + breadth)Here, length = (6 - 4) units = 2 units.Breadth = (5 - 2) units = 3 units.Therefore, the perimeter of the rectangle

= 2(2 + 3) units

= 2 × 5 units

= 10 units.

Answer:

The perimeter of the rectangle is 10 units.

Hope it helps.

Do comment if you have any query.

After buying supplies ruby had $32 left over she spent $4 on notebooks $18 on a backpack and $30 on a new calculator how much money did ruby start with write an equattion to show your work

Answers

Answer:

$84

Ruby started with $84 before purchasing the school supplies.

Step-by-step explanation:

$32 + $4 + $18 + $30 = $84

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