For all pairs of real numbers M and V where M = 3V + 6, V = ? A. (M/3) - 6 B. (M/3) + 6 C. 3M - 6 D. (M-6) / 3 E. (M+6) / 3

f(x) = x^3 - 6x^2 + 12x the function is increasing for x < -2, increasing for x > 4 and decreasing for -2 < x < 4. The critical value that will give you a relative maximum is x = 4. The critical value that will give you a relative minimum is x = -2.

The derivative of the given function is f'(x) = 3x^2 - 12x + 12. Setting this equal to 0 gives us x = 0 and x = 4. By the first derivative test, we can determine that the function is increasing for x < -2, increasing for x > 4 and decreasing for -2 < x < 4. Therefore, the critical value that will give us a relative maximum is x = 4 and the critical value that will give us a relative minimum is x = -2. This can be verified by finding the second derivative of the function, which is f''(x) = 6x -12. Setting this equal to 0 gives us x = 2, which is between the two critical values. Since the second derivative is negative for x < 2, the critical value at x = -2 will give us a relative minimum and since it is positive for x > 2, the critical value at x = 4 will give us a relative maximum.

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Bob can deduct a total of $2,210 on his Schedule C related to these expenses.

To determine the total amount Bob can deduct on his Schedule C related to these expenses, consider the specific categories that can be deducted. Based on the information provided, categorize the expenses as follows:

Course fees for continuing legal education: $1,400

Airfare and hotel room: $500

Meals provided by the hotel's restaurant: $300

Snacks from the newsstand: $10

To calculate the total amount that Bob can deduct, add up these expenses:

$1,400 + $500 + $300 + $10 = $2,210

Therefore, Bob can deduct a total of $2,210 on his Schedule C related to these expenses.

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Answer:

no,i don't think about it

Answer:

(-2, -1)

Step-by-step explanation:

On a standard coordinate plane:

That said, if you translate the point (-1, -5) left 1 and up 4, you do this:

\(x - 1=-1-1=-2\\y+4=-5+4=-1\\(-2,-1)\)

That is shown on the attached image

Answer:

X=35 Y=73

Step-by-step explanation:

use the opposite angle theorem for x. X would equal 35.

we know that x is 35. So 2y+35=180

180-35=2y

y=72.5 or 73

srry I can’t help with question 2. I don’t know how

Answer:

1)The rocket hit the ground at     \(x = \frac{5}{4}\)

2)The maximum height of the rocket = 12.468 feet

Step-by-step explanation:

Step(i):-

Given equation  

                y = -2 x² + 5 x + 7 ...(i)

Differentiating equation (i) with respective to 'x' , we get

             \(\frac{dy}{dx} = -2( 2x) +5(1) = -4x +5\)

Equating zero

            \(\frac{dy}{dx} = 0\)

⇒      -4 x +5 =0

⇒      -4 x = -5

⇒          \(x = \frac{5}{4}\)

The rocket hit the ground at     \(x = \frac{5}{4}\)

Step(ii):-

    \(\frac{dy}{dx} = -4x +5\)  ...(ii)

Again differentiating equation (ii) with respective to 'x' , we get

 \(\frac{d^{2} y}{dx^{2} } = - 4(1) <0\)

The maximum height at x = \(\frac{-5}{4}\)

  y = -2 x² + 5 x + 7

 \(y = -2 (\frac{5}{4})^{2} + 5 (\frac{5}{4} ) + 7\)

\(y = \frac{-2(25)+ 25 (16)+7(64)}{64}\)

\(y = \frac{798}{64} = 12.468 feet\)

The maximum height of the rocket = 12.468 feet

Answer:

38.71°C

Step-by-step explanation:

Given :

Initial temp, T0 = 20°C

Final temperature, T = 20 + 10 = 30°C

Time, t = 9 seconds

Surrounding temperature, Ts = 100°C

Newton's Law of cooling :

T = Ts + (T0 - Ts) * e^-kt

Obtain the value of k

30 = 100 + (20 - 100) * e^-9k

30 - 100 = - 80e^-9k

-70 = - 80e^-9k

-70 / - 80 = e^-9k

0.875 = e^-9k

Take the In of both sides

In(0.875) = - 9k

−0.133531 = - 9k

k = 0.133531 / 9

k = 0.0148

Hence,

t = 18

T = Ts + (T0 - Ts) * e^-kt

T = 100 + (20 - 100) * e^-0.0148(18)

T = 100 - 80 * e^-0.0148(18)

T = 100 - 80 * 0.7661326

T = 38.709392

T = 38.71°C

Answer:

C is the answer

Step-by-step explanation:

If you multiply 58 to 6 gives you 348

Hope this helps

Answer:

C

Step-by-step explanation:

The hourly wage, the number of hours and the number of days Jaxon works indicates that the amount Jaxon gets paid is $192

The formula for hourly wage can be presented as follows;

Hourly wage  = Total earnings/Total hours worked

The question in the link is presented as follows;

Jaxon gets paid $6 an hour. He works for 8 hours each day for four days. How much will Jaxon get paid

The amount Jaxon gets paid per hour (his hourly wage) = $6

The number of hours he works each day = 8 hours

The number of days Jaxon works = Four days

The amount Jaxin gets paid = Hourly wage × Hours per day × Number of days

Therefore we get;

Amount he gets paid = $6 per hour × 8 hours/day × 4 days = $192

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The sample should be taken to provide a 95% confidence interval is 200.

A confidence interval is made up of the mean of your estimate plus and minus the estimate's range. This is the range of values you expect your estimate to fall within if you repeat the test, within a given level of confidence.

Confidence is another name for probability in statistics.

Given the planning value for the population proportion,

probability, p = 0.25

q  = 1 - p = 1 - 0.25

q = 0.75

margin of error = E = 0.06

value of z at 95% confidence interval is 1.96,

the formula for a sample is,

n = (z/E)²pq

n = (1.96/0.06)²*0.25*0.75

n = 200.08

n = 200 approx

Hence sample size is 200.

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Answer:

Step-by-step explanation:

1. j

2. k

3. L

4. Lj

5. kL

6. jk

Step-by-step explanation:

Improper fractions have a numerator that is larger than the denominator

1 = 6/6

 so  1  1/6  = 7/6

Answer: h - 5

Step-by-step explanation:

h decreased by 5

h - 5

I'm sorry TnT I don't really know how to explain this but I'm 100% sure my answer is correct. Hope it helped!

Answer:

see explanation

Step-by-step explanation:

h is decreased by 5

5-h

Answer:

m = 4

Step-by-step explanation:

We know that,

( 15 , -3 ) ⇒ ( x₁ , y₁ )

( 17 , 5 ) ⇒  ( x₂ , y₂ )

You have to use y = m x + c to find the equation of the line.

Here,

m = slope

c = y - intercept

Let find the slope now.

\(m = \frac{y_{1}-y_{2} }{x_{1}-x_{2} }\)

\(m=\frac{-3-5}{15-17}\)

\(m=\frac{-8}{-2}\)

\(m=4\)

Slope = 4

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

≈ 0.97

Step-by-step explanation:

Given that :

Number of green gum drops = 30

Number of Blue gum drops = 1

Total number of gum drops :

(Number of blue + number of green gum drops)

(30 + 1) = 31

Probability = Required outcome / Total possible outcomes

P(green gum drops) = number of green drops / total number of gum drops

P(green gum drops) = 30 / 31 = 0.967 ≈ 0.97

The point x will be drawn slightly to the right of the midpoint between the last two tick marks.

Answer:

I suppose that you want to find which gym will be cheaper for you.

We have two equations:

• Gym A: 30m + 50

• Gym B: 10m + 100

First, let's find the value of m such that both gyms cost exactly the same:

30*m + 50 = 10*m + 100

Let's solve this for m

30*m - 10*m = 100 - 50

20*m = 50

m = 50/20 = 2.5

now:

for m < 2.5, Gym A will be cheaper, because the y-intercept is smaller.

for m > 2.5, Gym B will be cheaper, because the slope is smaller,

Then depending on the number of months that Martin wants to go to the gym, he can se the info above to pick the one that is cheaper.

Answer:

B

Step-by-step explanation:

EDGEN

Answer:

B. About 52.1 percent of the variation in number of bite-sized pretzels grabbed with the dominant hand is accounted for by the linear relationship formed with handspan.

Step-by-step explanation:

Answer:

=75

Step-by-step explanation:

15 90=75

Answer:

B. 19

Step-by-step explanation:

A triangle has three angles that add up to 180°.

86 + 32 = 118°

180 - 118 = 62°

The third angle has to equal 62°.

3x + 5 = 62°

3x = 57

x = 19°

Hope that helps.

Answer:

\(86 + 32 + 3x + 5 = 180 \\ 123+ 3x = 180 \\ 3x = 57 \\ x = 19\)

The present age of the elder brother is in a ratio of 23 to the present age of the younger brother, which can be simplified to a ratio of 5 to 4.

Let's assume the present age of the elder brother is E years, and the present age of the younger brother is Y years. According to the given information, the difference in their ages is 5 years, which can be expressed as E - Y = 5.

Six years ago, the elder brother's age was E - 6, and the younger brother's age was Y - 6. According to the second given condition, the product of their ages at that time was 696, which can be expressed as (E - 6)(Y - 6) = 696.

To find the ratio of their present ages, we need to solve the two equations simultaneously. We can start by expanding the second equation:

(E - 6)(Y - 6) = 696

EY - 6E - 6Y + 36 = 696

EY - 6E - 6Y = 660

Now we can substitute the value of E - Y from the first equation into the second equation:

(E - Y) - 6E - 6Y = 660

5 - 6E - 6Y = 660

-6E - 6Y = 655

Simplifying the equation:

6E + 6Y = -655

Now we have a system of linear equations:

E - Y = 5

6E + 6Y = -655

Solving these equations, we find that the present age of the elder brother (E) is 23 years and the present age of the younger brother (Y) is 18 years.

Therefore, the ratio of the present age of the elder brother to the younger brother is 23:18, which can be simplified to 5:4.

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C=25x+75 would be the equation

Step-by-step explanation:

75 dollars is the flat out fee right away and the 25 is for how many hours spent fixing the drain

Answer: 9mph

Step-by-step explanation: To figure this out (I'll just finish the problem for you), you have to essentially find a unit rate. Since you know the miles traveled and the time, all you have to do is divide the miles by the minutes to figure out miles per minute. In other words, how much distance is covered in one minute.

3/4 divided by 5 is 0.15. That's how many miles per minute. Now, since they're asking for miles per hour, not per minute, you'd have to multiply the rate by one hour (60 minutes).

0.15*60 = 9

So, the speed is 9 miles per hour

There are 50 predicted rolls for 5 in 300 times of rolls.

A probability is a number that reflects the chance or likelihood that a particular event will occur.

Given that, Janet rolls a 6-sided number cube 300 times,

Probability = (Favourable Outcomes)/(Possible Outcomes)

Favourable Outcomes: 5 (1 total)

Possible Outcomes: 1,2,3,4,5,6 (6 total)

Probability of a 5 in any given roll of a die = 1/6

1/6x300 = 50 = 50 predicted roll with 5.

Hence, There are 50 predicted rolls for 5 in 300 times of rolls.

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The equations representing the situation are x + y + z = 155,x = 9y and y = 3z where x,y and z are corresponding 135,15 and 5.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

Total vehcile x + y + z = 155

Nine times as many cars were rented as vans ⇒

x = 9y

Three times as many vans were rented as trucks ⇒

y = 3z

By substituting,

9y + y + y/3 = 155

10y + y/3 = 155

y = 15

x = 9(15) = 135

z = 15/3 = 5

Hence "The equations representing the situation are x + y + z = 155,x = 9y and y = 3z where x,y and z are corresponding 135,15 and 5".

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Given question is incomplete complete question is attached below ;

Answer:

15

Step-by-step explanation:

if 6/10 = 9 gal. then we can divide 9 by 6 and then multiply that answer by ten

Answer:

D): 15

Step-by-step explanation:

if 6/10 = 9 gal. then we can divide 9 by 6 and then multiply that answer by ten

Answer:

4.472136 or 4.5 is the distance.

(2, -4) is the midpoint.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given points

Distance AB is

Midpoint is

Answer:

V=6280cm²

Step-by-step explanation:

V=pi r²h

V=3.14 x 10²cm×20cm

V=6280cm²

Answer:  Exact is  36.05551275 miles southwest of where Sam started.

That's approximately 36.1 miles

Step-by-step explanation:

20²= 400

30²= 900

√1300  =36.05551275

Round to 36.1