Help pleaseeeeeeeeee

Answer:

The critical points are 12 and 0.

Step-by-step explanation:

We have that the critical numbers are those values that result from equating the derivative of a function to zero. Also called roots or zeros of the derived function.

IF f is defined in x, it will be said that a is a critical number of f if f '(x) = 0 or if f is not defined in x.

Now the function is:

f (x) = x ^ 2 / (x -6)

we have that the derivative of the quotient is:

(f / g) '= (f' * g - g '* f) / g ^ 2

we replace and we have:

f (x) = [2 * x * (x-6) - 1 * x ^ 2] / (x -6) ^ 2

simplifying we have:

f (x) = [x ^ 2 - 12 * x] / (x -6) ^ 2

this must be equal to 0, like this:

 [x ^ 2 - 12 * x] / (x -6) ^ 2 = 0

we solve:

x ^ 2 - 12 * x = 0

x * (x - 12) = 0

Thus:

x = 0

x - 12 = 0 => x = 12

The critical points are 12 and 0.

Answer:

See Below

Step-by-step explanation:

The relation is :

=> {(-5,0)(2,8)(2,15)(4,16)}

Domain => x inputs of the relation

Domain = { -5 , 2, 4}

Range => y inputs of the relation

Range = { 0 , 8 , 15 , 16}

Answer:

Step-by-step explanation:

Hello,

The table is as below

[tex]\begin{array}{c|c|c|c} &2&1&-2\\4&\boxed{4}&\boxed{4}&\boxed{-8}\\-8&\boxed{-8}&\boxed{-8}&\boxed{16}\\\ 0&\boxed{0}&\boxed{0}&\boxed{0} \end{array}[/tex]

It gives

[tex]4x^4+(4-8)x^3-(8+8)x^2+16x=4x^4-4x^3-16x^2+16x[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

Step-by-step explanation: The expected loss is 50 cents, we know that it is more likely to lose than win. It is therefore difficult to get-50, so the overall difference between the two possibilities is 2, 50/200=1/4, and the probability to win is 1/4, and the probability to lose is 3/4. Since (1/4)*3=3/4, the number of black balls is 3 times the number of white balls, so k=15.

Answer:

45

Step-by-step explanation:

Given the legs of the right triangle.

Then using Pythagoras' identity

The square oh the hypotenuse h is equal to the sum of the squares on the other 2 sides, that is

h² = 36² + 27² = 1296 + 729 = 2025 ( take the square root of both sides )

h = [tex]\sqrt{2025}[/tex] = 45

Answer:

45

Step-by-step explanation:

When you are given the opposite and adjacent sides of a triangle, the easiest way to find the hypotenuse is through the Pythagorean theorem!

The formula is a^2 + b^2= c^2

Plugging in the values, your formula would now look like 36^2 + 27^2= c^2

Once you do square your values and add them up, the result would end up being 2025, but since that is squared, to find the actual value of c you have to take the square root of this number, this will result in 45.

Answer:

no its not

Step-by-step explanation:

a repeating decimal is one that repeats a number but this is a terminating decimal since it stops.

Answer:

[tex]x = 21[/tex]

Step-by-step explanation:

We can simplify this equation down until we have x isolated.

[tex]3x - 17 = 46[/tex]

If we add 17 to both sides:

[tex]3x = 63[/tex]

Now we can divide both sides by 3:

[tex]x = 21[/tex]

So [tex]x = 21[/tex].

Hope this helped!

Answer:

Step-by-step explanation:

(f ° g)(18) is another way of writing f(g(18)) which is telling you to evaluate function g at an x value of 18, then take that answer and plug it in for x in the function. Like this:

g(18) = 18 - 9 so

g(18) = 9. Now take that 9 and plug it into the f function in place of x:

f(9) = -8(9) + 8 and

f(9) = -72 + 8 so

f(9) = -64

Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where m is the slope

c is the y intercept

4x + y + 1 = 0

y = - 4x - 1

Comparing with the above formula

Slope / m = - 4

Since the lines are parallel their slope are also the same

That's

Slope of the parallel line is also - 4

Equation of the line using point ( 1 , 2) is

y - 2 = -4(x - 1)

y - 2 = - 4x + 4

4x + y - 2 - 4

We have the final answer as

Hope this helps you

Answer: Surface area is 169π

Step-by-step explanation:

[tex]A=\pi \cdot \:d^2[/tex]

[tex]A=\pi d^2[/tex]

[tex]A=\pi 13^2[/tex]

[tex]A=169\pi[/tex]

Answer:

IT'S D

Step-by-step explanation:

LOOK AT THE PATTERN AND YOU WILL UNDERSTAND.

Answer:

ii honestly think d

Step-by-step explanation:

Answer:

Z=7.9

Step-by-step explanation:

20.4 + 20.4 = 40.8  

56.6 - 40.8 = 15.8

15.8/2 = 7.9

Answer:

z=7.9 cm

Step-by-step explanation:

So, what we have to do is gather all the information we already have. The length of the rectangle is 20.4 cm, and the perimeter is 56.6. To find the perimeter, you always add all the sides up. So 20.4+20.4 is 40.8. since 4+4 is 8, and 20+20 is 40. Then, you subtract that from the perimeter to get what is 2z(both sides). 56.6-40.8 is 15.8. So we know 2z is 15.8. To find z, we divide 15.8 by 2 which is 7.9. You can do this with a calculator or write it down.

z=7.9 cm

Step-by-step explanation:

the first answer is 72 as it is it

Answer:

The answer is 8.

Step-by-step explanation:

The product of 12 and 3 is 36. One-fourth of 36 is 9. 5 subtracted from 9 is 4.

Answer:

40,000 baldosas

Step-by-step explanation:

Lo primero que debemos hacer aquí es calcular el área del patio rectangular.

El mejor enfoque para esto es convertir primero sus medidas a centímetros

Matemáticamente, 100 cm = 1 m, entonces 10 m se convierten en 1000 cm y 12 m se convierten en 1200 m.

El área de un rectángulo es L * B y, por lo tanto, tenemos 1200 * 1000 = 1,200,000 cm ^ 2

Ahora, para saber la cantidad de azulejos que tendrá el patio, necesitaremos dividir el área del patio por el área de los azulejos

Matemáticamente, eso sería 1,200,000 / 30 = 40,000 fichas

Answer:

Domain { -3, -1 ,1}

Step-by-step explanation:

The domain is the input values

We write them in order from smallest to largest with out repeating any numbers

Domain { -3, -1 ,1}

Answer: 4

Step-by-step explanation:

Answer:

4 buckets

Step-by-step explanation:

number of buckets needed = 96 / 30

= 3.2

Since 3.2 is not a whole number (buckets cannot be split into small portions), and each bucket can only hold 30 golf balls, 4 buckets are needed to hold all golf balls.

Or else, if there is only 3 buckets, only 30x3 = 90 balls can be held, meaning there are 6 left.

Answer:

Step-by-step explanation:

Atachment in 1 minute.

Answer:

Hey there!

A total of 250-175, or 75 liters of water evaporated.

75/250=0.3, or 30%

30% of water evaporated.

Hope this helps :)

Hey there! I'm happy to help!

First, let's find out how much water evaporated. We have 175 left of the 250 after evaporation, so we need to subtract 175 from 250 to see how much water evaporated.

250-175=75

75 liters evaporated. Now, we want to find this as a percent out of 250. 75 is what percent of 250? Well, when talking about percents, the word "is" means "equals". So, we can turn this into an equation! We will use x to represent our percent as a decimal.

75= x·250

We simply divide both sides by 250 to isolate the x, giving us x=0.3

0.3 is 30% as a percent, so this means that 30% of the water evaporated.

I hope that this helps! Have a wonderful day!

Answer:

-4y=8-2x

Step-by-step explanation:

a guess

Answer:

y = 1/2 x -2

Step-by-step explanation:

2x – 4y = 8

Solve for y

Subtract 2x from each side

2x – 4y -2x= -2x+8

-4y = -2x+8

Divide each side by -4

-4y/-4 = -2x/-4  + 8/-4

y = 1/2 x -2

Answer:

Distance is 200m between each pole

Step-by-step explanation:

First, convert the length of the road into meters

        1km= 1000m

        1000m +200m= 1200m

There are 6 poles on the side and they're equally spaced

Divide the length of the road by the number of poles to get the distance between the poles

        Distance between poles= Length of road/ Number of poles

        Distance between poles= 1200m/ 6 poles

       Distance between poles= 200m

Answer:

50 km/hr * 2hr = 100km

80 km/hr * 2hr = 160km

using pythagorean theorem: x = sqrt((a^2)+(b^2))

x = sqrt ((100^2) + (160^2)

x = 188.67 km

Step-by-step explanation:

Q3, or third quartile, is visually located at the right edge of the box. Movie A shows to have a smaller Q3 value as it is to the left of Q3 for movie B.

Answer:

x= 1.09 and x= -0.461

Step-by-step explanation:

Hope it helps :) :)

Good luck!!

Answer:

Step-by-step explanation:

Let the points be A and B

A ( - 2 , 3 ) -------> ( x1 , x2 )

B ( -4 , -9 ) -------> ( x2 , y2 )

Now, finding the slope:

[tex]slope \: (m) = \frac{y2 - y1}{x2 - x1} [/tex]

Plug the values

[tex] = \frac{ - 9 - 3}{ - 4 - ( - 2)} [/tex]

Calculate

[tex] = \frac{ - 12}{ - 4 - ( - 2)} [/tex]

When there is a (-) in front of an expression in parentheses , change the sign of each term in expression

[tex] = \frac{ - 12}{ - 4 + 2} [/tex]

Calculate

[tex] = \frac{ - 12}{ - 2} [/tex]

Reduce the fraction with -2

[tex] = 6[/tex]

Hope this helps..

Best regards!!

Answer:

[tex]2\sqrt{2} +2\sqrt{5}[/tex]

Step-by-step explanation:

i just got this one right

the kite has two pairs of congruent sides. using the distance formula, the two shorter sides=[tex]\sqrt{2}[/tex] (since there are two of those length sides, you multiply it by two). Again with the distance formula, the two longer sides=[tex]\sqrt{5}[/tex] (also multiply this by two).this gives the answer c or [tex]2\sqrt{2}+2\sqrt{5}[/tex]

Answer:

The answer is c [tex]\sqrt[2]{2}[/tex] + [tex]\sqrt[2]{5}[/tex] units. just took the test

Step-by-step explanation:

Answer:

C and D

Step-by-step explanation:

A box plot display consist of a five-number summary. The five-number summary includes the following five values that is depicted in the box plot display:

1. Min value: the least value or smallest value indicated at the end of the whiskers to our left.

2. Max value: the largest value in the data set indicated at the end of the whisker to our right.

3. The median: this is a measure of center indicated by the vertical line that divides the rectangular box into 2.

4. The Upper quartile (Q3): this is indicated by at the end of the rectangular box at our far right.

5. The lower quartile (Q1): this is indicated at the beginning of the rectangular box from our left.

The interquartile range is the difference between the Q3 and the Q1, which can be used as a measure of spread of a data set.

Therefore, the most appropriate measures of center and spread for the data set above, are the median and the interquartile range respectively.

The correct choices are option C and D.

Answer:

cos theta = -3/5

Step-by-step explanation:

Answer:  [tex]cos\theta=-\dfrac{3}{5}[/tex]

Step-by-step explanation:

[tex]sin\theta = \dfrac{y}{r}=\dfrac{4}{5}[/tex]

Step 1:  Use Pythagorean Theorem: x² + y² = r²  to find the x-value

x² + 4² = 5²

x² + 16 = 25

      x² = 9

       x = 3

Step 2: Use the Quadrant to determine the sign of the x-value

                 Quadrant II                          Quadrant I

                     (--, +)                                     (+, +)

                 Quadrant III                          Quadrant IV

                     (--, --)                                     (+, --)

x is negative in Quadrant II

[tex]cos\theta=\dfrac{x}{r}=\large\boxed{-\dfrac{3}{5}}[/tex]

Answer:

x = -8

Step-by-step explanation:

1. Divide both sides of the equation by -9 to get (x+6) = -2

2. Now that are left with x+6 you can subtract (inverse operation) the 6 from both sides of the equation to get x = -8

Hope this helps