Find the absolute maximum of m(t)=t^3-12t^2-144t and justify your answer​

Answers

Answer 1

Answer:

Step-by-step explanation:

m(t)=t³-12t²-144t

Take the derivative of t:

t'=3t²-24t-144

Set it to 0:

3t²-24t-144=0

Solve for t:

t²-8t-48=0

(t-12)(t+4)=0

t=12 or -4

On a graph, you'll find that the maximum value occurs at t=-4 ..............


Related Questions

You and your friend play an arcade game. You score 5 points for every 9 points that your friend scores. You score 320 points less than your friend. How many points do you each score?

Answers

Answer:

400 ; 720

Step-by-step explanation:

Given that :

My score = 5 point for every 9 points scored by my friend ; hence my score is always 4 points less than my friend's score.

Let number of shot = x

Also my score x is 320 less than my friend's score

Hence after x shots

My score = friend's score - 320

5x = 9x - 320

5x - 9x = - 320

-4x = - 320

x = 80

Hence ;

My score = 5x = 5* 80 = 400

My &friend's score = 9 * 80 = 720

There are 4 sharks and 5 dolphins. Write the ratio of sharks to dolphins. Then find and interpret the value of the ratio.

Answers

Answer:

here is the ratio  1 : 1.25   (sharks: dolphins)

Step-by-step explanation:

The ratio of sharks to dolphins is 4 : 5

How to obtain real measurements from the ratio of two measurements?

Suppose the  real measurements were "a" and "b"

This shows that to get the real measurements from the given ratio, we need to assume to have some factor possibly cancelled from both the numerator and the denominator.

Thus, a = px, b = qx

Given Number of sharks = 4

Number of dolphins = 5

Therefore, the ratio of sharks to dolphins

= 4 : 5

Or  1 : 1.25

Number of animals = number of sharks + number of dolphins

Number of animals = 4 + 5 = 9

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PLZ HELP TROLL ANSWERS GET REPORTED MAKE IT UNDERSTANDABLE Match each expression to its value.

Answers

Answer:

7-5 => 2-7+5 => -2-7-5 => -127-(-5) => 12

Step-by-step explanation:

Lets solve the expressions one by one

1. 7-5

we can see that it is simple subtraction. A smaller number is being subtracted from a large number.

So the answer is 2

2. -7+5

There are two numbers with different signs. When there is a number with plus and a number with minus both quantities are subtracted but the larger quantity determines the sign of the answer.

In this case, 7 is larger and has negative sign, the answer will be -2

3. -7-5

When there are two numbers with minus sign they are added but the answer has the minus sign with it.

So the answer will be: -12

4. 7-(-5)

When minus is multiplied with minus it converts to positive

So

[tex]= 7-(-5) = 7+5 = 12[/tex]

Hence,

7-5 => 2-7+5 => -2-7-5 => -127-(-5) => 12

Find the slope between (-1, 7) and (-3, 1).

Answers

Answer:

[tex]m=3[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-1, 7)

Point (-3, 1)

Step 2: Solve for x

Substitute [SF]:                    [tex]m=\frac{1-7}{-3+1}[/tex]Subtract/Add:                      [tex]m=\frac{-6}{-2}[/tex]Divide:                                 [tex]m=3[/tex]

Find the slope of a line that passes through the points (-5, 3) and (-3, 8)

Answers

Answer:

Slope: 5/2 or 2.5

Step-by-step explanation:

1. Put both of the y values together on the top of a fraction and the x values on the bottom.

It should look like this: [tex]\frac{8-3}{-3-(-5)}[/tex]

2. Now you need to simplify the y and x values. -3-(-5) is equal to 2 and 8-3 is 5.

I should now look like this: [tex]\frac{5}{2}[/tex]

3. That could be your answer as a fraction. Or you can take the extra step and  actually divide them. 5 divided by 2 is 2.5.

In the end, you will have a result of 5/2 or 2.5. That it the slope of the line of the points (-5,3) and (-3,8). I hope this helps and you actually understand it. Remember, don't cheat! Always do your best! Good luck!

The slope of the will be "[tex]\frac{5}{2}[/tex]".

The given points are:

[tex](x_1, y_1) = (-5, 3)[/tex][tex](x_2, y_2) = (-3, 8)[/tex]

As we know,

Slope, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

By substituting the values, we get

               [tex]= \frac{8-3}{-3-(-5)}[/tex]

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

               [tex]= \frac{5}{2}[/tex]

Thus the above answer is right.

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$899 computer; 20% discount

Answers

Answer:

it knocks off $179.80 or the final cost which is $719.20.

Step-by-step explanation:

Answer:

$719.20

Step-by-step explanation:

899*0.2=179.8

899-179.8=719.2

a) 15% of what is 12?

Answers

Answer: 80

Step-by-step explanation:

Given

15% of ? is 12

We multiply

Answer:

80

Step-by-step explanation:

15% × ? = 12

? =

12 ÷ 15% =

12 ÷ (15 ÷ 100) =

(100 × 12) ÷ 15 =

1,200 ÷ 15 =

80

what is the GCF of 16s^3t, 40s^5, and 68t^2

Answers

Answer The Greatest Common Factor of 16, 40, 68 is 4. But the GCF of 16s^3t, 40s^5 and 68t^2 is 1, as there are no common terms for these given alphanumeric terms.

Step-by-step explanation:

convert 15 °C to Fahrenheit, use the formula F = 9/5 C + 32

Answers

Answer:

59

9/5(15)+32 =59

Step-by-step explanation:

Help asap i will do brainlist and everything

Answers

Answer:

the picture isnt showing

which matrix represents the system of equations shown below ? 4x-2y=5 5x- y=8

Answers

4 -2   5

5 -1    8

this is what it showed in brackets as the correct answer.

The matrix that represents the system of equations 4x-2y=5 and 5x- y=8  is [tex]\left[\begin{array}{cc}4&-2\\5&1\end{array}\right] \left[\begin{array}{c}5&8\end{array}\right][/tex]

How to determine the matrix?

The system of equations is given as:

4x-2y=5

5x- y=8

Remove the variables

x     y  

4    -2    5

5    -1    8

Represent as a matrix

[tex]\left[\begin{array}{cc}4&-2\\5&1\end{array}\right] \left[\begin{array}{c}5&8\end{array}\right][/tex]

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In his bank account, Jean-Paul has a balance of $0.00
His friend Albert has a bank balance of -$11.10
Which friend's bank account has more debt?


Choose 1 answer:

A. Jean-Paul

B. Albert


Which friend's bank balance has a greater absolute value?

Choose 1 answer:

A. Jean-Paul

B. Albert

Answers

Hey Hey

Answer 1: Jean-Paul (A)
Answer 2: Albert (B)

Hope this helps <3

Answer 1 A
Answer 2 B

Write the explicit rule for the arithmetic sequence
-10, -3, 4, 11,...

Answers

a

0

=

4

a

i

=

a

i

1

+

7

XXXX

possibly with the restriction 1<=i<=4 if this is not intended to be a continuous sequence

Explanation:

This is a simple arithmetic sequence with a difference of  

7

between ascending sequence terms.


Help me pleasee Jesus (10 points )

Answers

Answer:

Pretty sure it's 29

Step-by-step explanation:

The triangle has to be 180 degrees so 15+36=51 180-51=29

Answer:

45°

Step-by-step explanation:

In a triangle all the angles added together will equal 180°

Triangles ABC and FED are congruent right triangles. Find the length of FE. 8 m 6 m

Answers

Sawyer and Emily is so much scary

Help me it’s not D !!!!

Answers

The answer to this is A.

1. A T-shirt company charges a design fee of $25 and then sells the shirts for $10 each. The total cost
y can be represented by the equation y = 10x + 25, where x represents the number of T-shirts. The graph
of the equation is shown. Describe what the slope and y-intercept represent.

Answers

Answer:

the slope is 10 dollars times how many ever shirts

the y-intercept is the design put on the shirt which costs 25

18:
A line has a slope of -4 and includes the points (-10,10) and (-7,k). What is the
value for k?
k=
19:
the point (3,4) lies on the graph of the equation 3y=ax+7, then the value of a is
Note: Use slash (/) to separate the numerator and denominator.
200:
Consider a sequence whose first five terms are: -1.75,-0.5,0.75,2,3.25
Which function (with domain all integers n21) could be used to define and continue this
sequence?
A f(n)=7/4(n-1)-5/4
B f(n)=5/4(n-1)-7/4
C f(n)=(7/4)n-5/4
D f(n)=(5/4)n-7/4

Need help with 18-20 plz help I put a picture there to I really need these ASAP

Answers

18 - K= -22
19- a = 5/3

50 Points!!!!
In the following triangle BD is a median.

Find x and the measure of CD.

Answers

ure only giving 25 points and saying 50 lol
20-1
19
19+1
20

Answer:x=24

CD= just 7

Step-by-step explanation:

Simplifying radicals! Please help me & Show WORK

Answers

Answer:

Solving the radical [tex]4\sqrt{2}(-4\sqrt{15}+3\sqrt{18})[/tex] we get [tex]\mathbf{-16\sqrt{30}+72}[/tex]

Step-by-step explanation:

We need to simplify the radical: [tex]4\sqrt{2}(-4\sqrt{15}+3\sqrt{18})[/tex]

Prime factors of 18 are: 2x3x3

Replacing [tex]\sqrt{18}[/tex] with its factors

[tex]4\sqrt{2}(-4\sqrt{15}+3\sqrt{18})\\=4\sqrt{2}(-4\sqrt{15}+3\sqrt{2\times3\times3})\\=4\sqrt{2}(-4\sqrt{15}+3\sqrt{2\times3^2})[/tex]

We know that [tex]\sqrt{3^2}=3[/tex]

[tex]=4\sqrt{2}(-4\sqrt{15}+3\times3\sqrt{2})\\=4\sqrt{2}(-4\sqrt{15}+9\sqrt{2})[/tex]

Multiplying [tex]4\sqrt{2}[/tex] with terms inside the bracket

[tex]=4\sqrt{2}(-4\sqrt{15})+4\sqrt{2}( 9\sqrt{2}))\\=-16\sqrt{2}\sqrt{15}+36\sqrt{2} \sqrt{2}[/tex]

We know that [tex]\sqrt{2} \sqrt{2}=2[/tex]

[tex]=-16\sqrt{2*15}+36(2)\\=-16\sqrt{30}+72[/tex]

So, solving the radical [tex]4\sqrt{2}(-4\sqrt{15}+3\sqrt{18})[/tex] we get [tex]\mathbf{-16\sqrt{30}+72}[/tex]

If a wagon is accelerating at a rate of 2 m/s and the
force acting on it is 20 N, what is the mass of the
wagon?

Answers

Answer:

40kg

Explanation:

a=2m/s^

f=20N

M=?

we know

f=m*a

or, 20=m*2

or, 2m=20

or, m= 20/2

:. m=10 kg



Vanya collects vintage albums. Each storage unit holds 16 albums. She gave 3 albums to her cousin as a graduation present. Which function shows the relationship between y, the
total number of albums she has remaining, and x, the number of storage units Vanya owns?

A. Y=16x
B. Y=16x+3
C. Y=13x
D. Y=16x-3

Answers

Answer:

Step-by-step explanation: do y’all know answer

Answer:

d

Step-by-step explanation:

00:00 A truck can carry up to 2,000 pounds. The truck is carrying 1,600 pounds divided equally among 8 crates. What is the weight of each crate? Enter your answer in the box. pounds​

Answers

each crate is 200 lbs

work:
1600/8=200

There was a study done on oxygen consumption of snails as a function of pH, and the result was a degree 4 polynomial whose graph is shown.

Which of the following statements about this function is INCORRECT?​

Answers

Answer:

A. There is a positive leading coefficient

Step-by-step explanation:

Polynomials can be represented as an equation or graphs.

The incorrect option is: (b) There is a positive leading coefficient.

The polynomial has a degree of 4; this means that the degree of the polynomial is even.

So option (a) The degree of the polynomial is even is true

From the graph, we can see that the function decreases at (7<x<8) and (9<x<10)

This means that, the function decreases at two intervals

So option (d) There are two intervals where the function is decreasing is also true

Also, the function is at maximum at x = 7 and x = 9.

This means that:

Option (c) At two pH values, there is a relative maximum value

Hence, the incorrect option is:

(b) There is a positive leading coefficient.

This is so because, the graph decreases at some points on the graph.

This means that, the graph has a negative leading coefficient.

Read more about polynomials at:

https://brainly.com/question/17333460

PLEASE HELP! CORRECT ANSWERS ONLY!

Answers

A/8x8=19 192 so yea that the answer

Evaluate the expression

for

and

.

Answers

Answer:

Huh? Is this like a real question?

A 3-pound box of grapes costs $12.00. What is the price per ounce?

Answers

Answer:

$2.64

Step-by-step explanation:

I hoped I could help you!!

$2.64
hopefully this was a help!!

What is the equation of the line that is perpendicular to the given line and passes through the point (5, 3)​

Answers

Is this question supposed to be a graph if so you should do make up a graph so we could see it

PLEASE I NEED HELPPPP

Answers

Answer:

r=3

Step-by-step explanation:

12 times 3 is 36

18 times 3 is 54

25 times 3 is 75

what you are doing is plugging in X and seeing what X is multiplied to get Y

r•x=y

Answer:

I really don't know

which grade math is this Caz bro

HELP ME PLEASEEEEEE​

Answers

Answer:

The measure for angle 1 is 102 degrees. They would be interior angles because they add up to be 180 degrees.

Step-by-step explanation:

Hope this helps!! Please mark me brainliest!!

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