Determine the critical numbers, if any, of the function ???? on the interval [1,7]. ????(x)=x27−x⎯⎯⎯⎯⎯⎯⎯⎯⎯√ Give your answer as a comma‑separated list. Express numbers in exact form. If the function does not have any critical numbers, enter DNE.

Answer:

UM hello how are you im njot really gonna answer anywaysss byee

Answer:

Step-by-step explanation:

Step one:

we want to find the expression for the cost of any type of shirt for an applied discount of 40%.

let the price of any shirt be P

let the cost of any shirt be x

and also the price after discount applied be C

Step two:

The discount is

=40/100*x

=0.4*x

=0.4x

Hence the cost of the shirt will be the initial cost minus the discount

C=P-0.4x

Answer:

Step-by-step explanation:

2 r7

Answer:

D

Step-by-step explanation:

x 0,4,8,12

f(x)‒1,7,15,23

we can prove as the following

f(x)=2x‒1

‒1=2(0)‒1

‒1=0‒1

‒1=‒1

f(x)=2x‒1

7=2(4)‒1

7=8‒1

7=7

f(x)=2x‒1

15=2(8)‒1

15=16‒1

15=15

f(x)=2x‒1

23=2(12)‒1

23=24‒1

23=23

i wish it helps you

Answer:

x=2, y=5

Step-by-step explanation:

the triangle that x is in is a right triangle (don't remember the theorem sorry)

use pythagorean theorem (a^2 + b^2 = c^2)

x is the hypotenuse(c)

1 squared plus /3 squared =c squared

1+3= c squared

4= c squared

c=2

x=2

find y using pythagorean theorem as well

/12 squared plus 2 squared = y squared

y is the hypotenuse

12+4=y squared

16= y squared

4=y

add one to account for that extra little piece

y=5

... I don't see z

Answer:

y= if it is the hypoteneuse for the whole triangle it √16 or 4, if it is the side of the smaller triangle it is 3

x=√4 which is 2

z= I don't think ther's a z

Answer:

The missing angle is 50 and x=6

Step-by-step explanation:

So if all three angles of a triangle add up to 180 degrees, you would simply subtract 180-70-60 to find the missing angle, and from there you put in the equation 8x+2=50, you would do a step by step process get the x by itself on one side. first subtract 2 from both sides to remove it from one, making the equation 8x=48 and than divide both sides by 8 to remove it from the x making the answer x=6. :3

Answer:

x=6

Step-by-step explanation:

Ok so to do this you need to know if you add up all the sides of a triangle [This is for triangles] you get 180 every time.

So you already have two given angels. 70 and 60.

Lets make it an equation.

70+60+8x+2=180

It looks long and hard but we can simplify this if we go ahead and add up all the common factors. In this case would be all the numbers with no variables.

132+8x=180

You don't add the 180 because its on the opposite side of the equation.

Now you need to get the variable alone. To do that you need to do the opposite operation. In this case, that would be subtraction

132(-132)+8x=180(-132)

8x=48

Divide the 8.

x=6

8(6)+2=50

The choice of 360 degrees in a circle is believed to be influenced by ancient civilizations' sexagesimal numbering system, which had practical advantages for calculations. The specific reasons for choosing 360 remain speculative but likely relate to cultural and mathematical considerations.

One possible explanation is that ancient civilizations, such as the Babylonians and Sumerians, used a sexagesimal (base-60) numbering system. This system had practical advantages in dividing time and angles into smaller units. Since 60 has many divisors, it allowed for easier calculations and fractions.

Additionally, the number 360 has numerous divisors, making it convenient for dividing a circle into equal parts. While the exact reasons for choosing 360 degrees may be speculative, the influence of ancient number systems and cultural practices likely played a role in this convention.

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The solution to the literal equation is y = x - 2.

To solve inequality in y, we need a number such that the assertion holds if we replace y with that number. Isolating the variable on one side of the inequality and leaving the other terms constant is the first step in resolving the inequality.

From the given information:

4x + 1 = 9 + 4y

To solve for y, we have to switch the sides:

9 + 4y = 4x + 1

Subtract 9 from both sides

9 - 9 + 4y = 4x + 1 - 9

4y = 4x - 8

Divide both sides by 4

\(\dfrac{4y}{4}= \dfrac{4x}{4}-\dfrac{8}{4}\)

y = x - 2

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Answer:

-4 < -13(a+6)-17

-4<-13a+(-78)-17

-4<-13a+(-95)

-4<-13a-95

91<-13a

-91>13a

-7>a

Step-by-step explanation:

Step-by-step explanation:    

Step 1: Simplify both sides of the inequality.

−4<−13(a+6)−17

−4<−13a−95

Step 2: Flip the equation.

−13a−95>−4

Step 3: Add 95 to both sides.

−13a−95+95>−4+95

−13a>91

Step 4: Divide both sides by -13.

-13a/-13 >  91/-31

ANSWER: a < -7

Explanation in words:        

- The first step is to simplify both sides of the inequality and the answer will end up being as −4<−13a−95.

- The second step is to flip the equation and the answer will end up being as −13a−95>−4.

- The third step is to Add 95 to both sides of the equation and the answer will end up being as −13a>91.

- The last step is to Divide both sides by -13 and the answer will result as a < -7. So the answer is a < -7.

Graph: See Attachment

Answer:    

a<−7

Hope this helps.

Answer:

20,736 crates

Step-by-step explanation:

Answer:

12(4) which is 20,736

Step-by-step explanation:

12(3) is 1728 and 12(7) is 35,831,808. 35,831,808 divided by 1728 is 20,736. 20,736 is 12(4).

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

\(\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\)

                 Solve the following \(\mathrm{2(x+3)=x-4}\).

\(\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\)

  First of all, we can remove the parentheses by multiplying 2 times x and 3:-

        \(\mathrm{2x+6=x-4}\)

Now that we removed the parentheses, the rest is a piece of cake, as long as we pay attention to the signs, and here's what I mean by that.

       Subtract x on both sides:-

\(\mathrm{2x-x+6=-4}\)

On simplification, we get

   \(\mathrm{x+6=-4}\)

Now we subtract 6 on both sides, which results in

 \(\mathrm{x=-4-6}\)

And finally,

\(\mathrm{x=-10}\)

[Verification]

We can substitute -10 for x and see whether or not we end up with a true statement.

\(\mathrm{2(-10+3)=-10-4}\)

Perform the operation inside the parentheses first:-

\(\mathrm{2(-7)=-14}\)

On simplification, we get

\(\mathrm{-14=-14}\)

      Since the left-hand side (L.H.S.) is the same as the right-hand side (R.H.S), our solution (x=-10) is correct.

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

Answer:

Im pretty sure it would land in quadrant 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x - 3)(x + 2) (x + 4) =

x^3+3x^2-10x-24

Answer:

x^3+3x^2-10x-24

Step-by-step explanation:

(x - 3)(x + 2) (x + 4)

multiply the first two together first

(x^2+2x-3x-6)(x+4) add like terms first

(x^2-x-6)(x+4)

then multiply

x^3+4x^2-x^2-4x-6x-24

add like terms

x^3+3x^2-10x-24

The critical numbers are 0 and 2, and the behavior of f at these numbers is At x = 0, the function has a local minimum.
At x = 2, the function has neither a local maximum nor a local minimum.

To find the critical numbers, we need to take the derivative of the function and set it equal to zero:
f'(x) = 6x^5(x-2)^5 + x^6(5)(x-2)^4(1) = 0
Simplifying this equation, we get:
x(x-2)^4(6x^4 + 5x^2(x-2)) = 0
The critical numbers are where the derivative equals zero, which are x = 0 and x = 2.
To describe the behavior of f at these critical numbers, we need to examine the sign of the derivative around each critical number. If the derivative is positive to the left and negative to the right of a critical number, then the function has a local maximum at that point. If the derivative is negative to the left and positive to the right, then the function has a local minimum at that point. If the derivative does not change sign at a critical number, then the function has neither a local maximum nor a local minimum at that point.
Let's examine each critical number:
At x = 0, we can see that the factor x is negative to the left of 0 and positive to the right of 0. The factor (x-2)^4 is positive everywhere. The factor 6x^4 + 5x^2(x-2) is positive at x = 0 (since the x^2 term is zero), which means the derivative is positive to the left and right of x = 0. Therefore, f has a local minimum at x = 0.
At x = 2, we can see that the factor (x-2)^4 is zero at x = 2, which means the derivative is zero at x = 2. To determine whether f has a local maximum or minimum at x = 2, we need to examine the sign of the derivative on either side of 2. If we plug in a value slightly less than 2 (e.g. x = 1.9), we get a positive derivative. If we plug in a value slightly greater than 2 (e.g. x = 2.1), we also get a positive derivative. Therefore, f has neither a local maximum nor a local minimum at x = 2.

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Answer:

The value will be $1,411.20

Step-by-step explanation:

What we do here is to set up an exponential equation to calculate the value.

Mathematically it will look like this;

V = I(1-r)^n

where V is the future value

I is the initial amount = 24,600

r is rate of decrease = 13.75% = 13.75/100 = 0.1375

n is the number of years = 15 years

substituting these values, we have

V = 24,600(1-0.1375)^15

V = 24600(0.8625)^15

V = 1,411.165582454129

= $1,411.20

Answer:

D. 31 years

Step-by-step explanation:

To find the range subtract the greatest number by the least number.

Answer:

23,26,28,32,33,25,38,40,41,54

Now subtract the largest value from smallest one .

54 - 23 = 31

So, Range = 31 years

Hope it helpful to you

Answer:

70, 89, 64, 96, 82

Step-by-step explanation:

You can translate 3/5 into a whole number because 5 goes into 100, 20 times. So if you figure out the 3/5 is 60, you can use any numbers between that and 100.  

Answer:

1 /3

Step-by-step explanation:

Given that :

Probability that Captain hits pirate = 1/2 ;

P(captain hits) = 1/2

P(captain misses) = 1 - p(captain hits) = 1 - 1/2 = 1/2

Probability that Pirate hits Capitan = 1/3

P(pirate hits) = 1/2

P(pirate misses) = 1 - p(pirate hits) = 1 - 1/3 = 2/3

P(both pirate and captain miss)

P(captain miss) * P(pirate miss)

1/2 * 2/3

(1 *2) / (2*3)

= 2/6

= 1/3

Answer:

it's 1/10

Step-by-step explanation:

khan

Answer:

11 pieces

Step-by-step explanation:

So you take all the fractions and find the LCM which would be 30

1 / 5 and multiply the numerator and the denominator by 6 = 6 /30

1 / 3 and multiply the numerator and the denominator by 10 = 10 / 30

1 / 10 and multiply the numerator and the denominator by 3 = 3 / 30

then you add up the numerators which would be 19 and then you would do 3- pieces subtracted by 19 which is 11 pieces

9514 1404 393

Answer:

  F  HL

Step-by-step explanation:

No right angle is shown, so the HL theorem cannot be used.

Answer:

C

Step-by-step explanation:

Let's say that point G is the origin, (0,0). Then, the coordinates of point R would be (-3, -5). Rotating the point 90° counter-clockwise would result in the final coordinates being (5, -3), therefore the answer is C.

Answer:

2.5

Step-by-step explanation:

julia wants to purchase a pair of headphones that are on sale for $42.79. the sales tax rate in her county is 6%. then Julia have to pay $2.57 as sales tax on purchase of headphones.

Given,

The cost of headphones which Julia wants to purchase on sale = $ 42.79

The sales tax in Julia's country = 6%

We have to calculate the amount of sales tax Julia will pay on the purchase:

That is,

Sales Tax Value = Percentage of sales tax × Price of headphones

Sales Tax Value = (6 / 100) × 42.79

Sales Tax Value = 0.06 × 42.79

Sales Tax Value = 2.5674

Sales Tax Value ≈ 2.57

Therefore, Julia have to pay $2.57 as sales tax on purchase of headphones.

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Answer:

\(ME =\frac{z*s}{\sqrt{n}}\)

Step-by-step explanation:

In a random survey sample, a margin of error is a statistical measurement that takes into account the discrepancy between actual and anticipated findings

To find margin of error, you need

        n = sample size

        z = z-score

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Answer:

look at the screenshot

Step-by-step explanation:

Answer:

In order to find the inverse of a function, we flip it over the line y=x, or we switch the x and y values in the equation and solve it for y. So let's do the latter:

m(x) = 5x - 5

y = 5x - 5

x = 5y - 5

5y = x + 5

y = (x + 5)/5

Step-by-step explanation:

hope this is helpful

Answer: f ^−1(x)=x+5

The solution to the given Inequality is a > 12 and the graph is as attached.

We are given the Inequality as;

8a - 30 > 66

Now, use addition property of equality to add 30 to both sides to get;

8a - 30 + 30 > 66 + 30

8a > 96

Now, use division property of equality to divide both sides by 8 to get;

8a/8 > 96/8

a > 12

The graph of this is as attached.

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Answer:

19 orders of tea

57 orders of collee

Step-by-step explanation:

find 1/4 of the 76

76/4=19

multiply by 3

19x3=57