Mathematics College

how do you Evaluate 3f(2)

Answers

Answer 1

3f(2) =  12

Complete question: How do you Evaluate 3f(2) if f(x) = x²?

The given function is:

f(x) = x²

To find f(2), substitute x = 2 into the function f(x):

f(2)  =  2²

f(2)  =  4

3f(2)  =  3 (4)

3f(2)  =  12

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Related Questions

Will give brainliest!
How long will it take the tool to fall to the ground?
The function for objects dropped from a height where t is the time in seconds, h is the height in feet at time t, and h0 is the initial height is h(t)=-16t^2+h0. The building I already figured to be 162 feet.
Thank You!!

Answers

check the picture below, it hits the ground when y = 0.

[tex]\bf ~~~~~~\textit{initial velocity}\\\\ \begin{array}{llll} ~~~~~~\textit{in feet}\\\\ h(t) = -16t^2+v_ot+h_o \\\\ \end{array} \quad \begin{cases} v_o=\stackrel{0}{\textit{initial velocity of the object}}\\\\ h_o=\stackrel{162}{\textit{initial height of the object}}\\\\ h=\stackrel{}{\textit{height of the object at "t" seconds}} \end{cases} \\\\\\ h(t)=-16t^2+0t+162\implies 0=-16t^2+162\implies 16t^2=162 \\\\\\ t=\cfrac{162}{16}\implies t=\cfrac{81}{8}\implies t=10\frac{1}{8}[/tex]

Related Rates:
A camera televising the opening kickoff of a football game is positioned 5 yards from the east edge of the field and in line with the goal line. The player with the football runs down the east edge of the field (just in bounds) for a touchdown. When he is 10 yards from the goal line, the camera is turning 0.4 rad/sec. How fast is the player running.

I know that the professor wants a diagram with a formula, then you take the derivative of that and plug in your information to find the answer, however, i can not figure out the diagram.

Answers

check the picture below.

now, hmmm I notice the came angle rate is positive,.... meaning the camera angle is increasing, no decreasing, therefore is really turning away from the goal line, meaning the runner is not going towards the goal line, but moving away from it, was wondering, if the runner is going to the goal line, the 0.4 rad/sec should be negative, but anyway, is not.

keeping in mind that, "x" distance of 5 yards, is a constant, whilst "y" is not, and neither is the angle.

[tex]\bf tan(\theta )=\cfrac{y}{x}\implies tan(\theta )=\cfrac{1}{5}y\implies \stackrel{chain-rule}{sec^2(\theta )\cfrac{d\theta }{dt}}=\cfrac{1}{5}\cdot \cfrac{dy}{dt} \\\\\\ \cfrac{1}{cos^2(\theta )}\cdot \cfrac{d\theta }{dt}=\cfrac{\frac{dy}{dt}}{5}\implies \cfrac{5}{cos^2(\theta )}\cdot \cfrac{d\theta }{dt}=\cfrac{dy}{dt}\\\\ -------------------------------\\\\[/tex]

[tex]\bf tan(\theta )=\cfrac{10}{5}\implies tan(\theta )=2\implies \measuredangle \theta =tan^{-1}(2)\implies \measuredangle \theta \approx \stackrel{radians}{1.10715} \\\\\\ \cfrac{d\theta }{dt}=\stackrel{rad/sec}{0.4}\\\\ -------------------------------\\\\ \cfrac{5\cdot 0.4}{cos^2(1.10715)}=\cfrac{dy}{dt}[/tex]

which ends up at 10.

make sure your calculator is in Radian mode, since the angle is in radians.

Find the value of sec θ for the point (7,6)

Answers

[tex]\bf (\stackrel{a}{7}~~,~~\stackrel{b}{6})\impliedby \textit{let's find the hypotenuse first} \\\\\\ \textit{using the pythagorean theorem}\\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}\qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{7^2+6^2}\implies c=\sqrt{49+36}\implies \boxed{c=\sqrt{85}} \\\\\\ sec(\theta)=\cfrac{hypotenuse}{adjacent}\qquad \qquad sec(\theta )=\cfrac{\sqrt{85}}{7}[/tex]

A student solved the equation 6s – 10 = 2 + 3s + s and got s = –4. His work shown below is his check for this problem. Which statement best applies to the work shown? A. His check does not work, thus s = –4. B. The work in his check is all correct, thus s = –34. C. The work in his check is all correct, thus s = –4. D. His check does not work, thus

Answers

The student's check does not work, thus s = -4. Therefore, the correct statement is A.

Let's evaluate the student's check for the equation 6s - 10 = 2 + 3s + s when s = -4.

Substitute s = -4 into the equation:

6(-4) - 10 = 2 + 3(-4) + (-4)

-24 - 10 = 2 - 12 - 4

-34 = -14

Since [tex]\(-34 \neq -14\)[/tex], the result obtained by the student's check is incorrect.

Therefore, the statement that best applies to the work shown is:

A. His check does not work, thus s = -4.

What is 413,125 rounded to the nearest ten thousand?

Answers

The digit '1', the first copy of '1', is in the ten thousands place. To the right of this digit is 3. Since 3 is not 5 or larger, we simply change everything after the '1' to zeros

So we go from 413,125 to 410,000

The final answer is 410,000
The answer would be 410,000

What is the equation of the line (8,-6) 8x-3y=7

Answers

plug in the x and y to the respective areas

8(8)- 3(-6) = 7
64 - (-18) = 7
82 = 7

false

this points listed above does not work

hope this helps

Write two ways to group and add 4+2+5.

Answers

Answer:

We can use the associative property of addition to group the numbers for addition.

Step-by-step explanation:

We are given the following information in the question:

We have to add [tex]4 + 2 + 5[/tex] in two different ways.

Associative property of addition

The associative property states that you can add regardless of how the numbers are grouped. By grouped we mean how we use parenthesis.[tex](a+b)+c = a+(b+c)[/tex]

Working:

[tex]4 + 2 + 5[/tex]

[tex](4+2)+5 = 4+(2+5)\\6 + 5 = 4 + 7\\13 =13[/tex]

Final answer:

The associative property allows for different groupings of numbers when adding without affecting the sum, such as (4 + 2) + 5 and 4 + (2 + 5), both resulting in 11.

Explanation:

In mathematics, especially when dealing with arithmetic operations like addition, we have the flexibility to group numbers in different ways due to the associative property of addition. This property tells us that the way in which numbers are grouped does not affect the sum. Here's how you can group and add the numbers 4, 2, and 5 in two different ways:

Way #1: Group (4 + 2) + 5 = 6 + 5 = 11Way #2: Group 4 + (2 + 5) = 4 + 7 = 11

Both methods give us the same result, which is 11, demonstrating the associative property in action.

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Howard pays $327 for one dozen collector's edition baseball cards. About how much does he pay for each baseball card?

Answers

Divide 327 by 12 to get 27.25. Howard pays 27 dollars and 25 cents for each card.
327 for one dozen, or 327 for 12

327/12 = 27.25

Howard pays $27.25 for each card

What is the coefficient of the x6y3 term in the expansion of (x + 2y)9?

a)84

b)168

c)336

d)672

Answers

please look to the attachment   

The answer is d.) 672

What is the sum?

mc003-1.jpg
–20
–4
4
20
the pic is the .jpg

Answers

-4 because 1×-12 is -12 and 8-12 is -4

we have that

[tex]8+(-12)[/tex]

eliminate parentesis

[tex]8+(-12)=8-12=-4[/tex]

therefore

the answer is

[tex]-4[/tex]

Jamar is factoring 90x-15. Find his mistake and correct it

Answers

Answer: 15(6x - 1)

Step-by-step explanation: Jamar had a great start, by figuring out the factors of both 90 and 15; of which he picked 15.

What he got wrong was failing to do same to the value 15 exactly what he did to 90x.

To put it right, here is how to go about it:

90x - 15

Factor of both 90 and 15 is 15

Therefore:

15 (6x - 1)

This is correct. You can as well expand the result to check.

The correct factorization will be:  15(6x - 1)

Given,

90x-15

Here,

Jamar had a great start, by figuring out the factors of both 90 and 15; of which he picked 15.

What he got wrong was failing to do same to the value 15 exactly what he did to 90x.

To make it correct:

90x - 15

Factor of both 90 and 15 is 15

Therefore:

15 (6x - 1)

Hence the correct factorization is achieved .

Know more about factorization,

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you subscribe to m different magazines. your friend subscribes to 2 fewer than you

Answers

The equation is m-2, which is the number of magazines your friend has. Hope this helps!!!

2t+8>-4(t+1)
T>___
**The sign is meant to be more than or equal to.**

Answers

2t+8>-4(t+1)
2t + 8 > -4t - 4
2t + 4t > -4 - 8
6t > -12
  t > -2

answer
  t > -2

Roberto Anaya and his wife plan to rent a condominium for $725 per month. They pay a $125 monthly fee for all of the maintenance work. Their annual expenses are insurance $468, lost interest, $129; and utility bills, $3,000. What are their average monthly expenses to the nearest cent?

Answers

the answer is $1,149.75

Answer:

The average monthly expenses is $ 1,149.75

Step-by-step explanation:

Given,

The monthly rent of the condominium = $ 725,

Also, monthly fee for maintenance work = $ 125,

And, Their annual expenses are insurance $468, lost interest, $129; and utility bills, $3,000,

⇒ The total annual expenses in insurance, lost interest and utility bill = $ 468 + $ 129 + $ 3,000

= $ 3597,

⇒ The monthly expenses in insurance, lost interest and utility bills = [tex]\frac{3597}{12}[/tex]

= $ 299.75,

Hence, the average monthly expenses = monthly rent of the condominium + monthly fee for maintenance work + monthly expenses in insurance, lost interest and utility bills

= $ 725 + $ 125 + $ 299.75

= $ 1,149.75

Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, four green ones, two white ones, and two purple ones. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms. She does not have all the red ones.

Answers

Total number of marbles = four red + four green + two white + two purple = 12

Number of marbles taken by her = 8

We have to find the probability that she does not get red.
Instead we find the probability of getting red and then we can take the complement of (getting red)

Now probability of getting red is given as:

No. Of favourable outcomes = Choose 8 out of 11= 8 C 11= (11!)/(8! * 3!)
= 165

Now to choose red balls, she will choose 4 red balls from 4 red balls and other 4 from remaining 8.
4 C 4 * 4C 8 = 70

Probability ( getting red) = 70/165

Therefore, probability (not getting red) = 1- (70/165) = 95/165 = 19/33

85 x 63 whoever gets it gets braiest

Answers

85 x 63 = 5355

hope it helps

---------------------
Hello,



85*63 equal 5355


Hope this helps

The table shows the height in feet of several student in mrs. Patel. Class

Answers

I need a table to help you solve this. 

Answer:

Is there a table that i can help with.

Step-by-step explanation:

what is the correct math operation to determine the price per ounce (unit price) for the 6-pack of 12-ounce cans priced at $1.69.

Answers

unit price per oz......6 pack of 12 oz cans priced at 1.69

first, we find total oz by multiplying ...(6 * 12) = 72  total oz

now we divide 1.69 by 72 oz to find price per oz
1.69/72 = 0.0234 rounds to 0.02 (or 2 cents) per oz <=

How much time does it take light to travel from the moon to the earth, a distance of 384000?

Answers

V = speed of light = 3 x 108 m/s

d = distance = 384000 x 103 m = 3.84 x 108 m

time taken = t = d/V = 3.84 x 108 /(3 x 108 ) = 1.28 sec

12 yellow balls and 9 red balls are placed in an urn. Two balls are then drawn in succession without replacement. What is the probability that the first ball drawn is a red ball if the second ball drawn is yellow? a) 0.8333 b) 0.4500 c) 0.5714 d) 0.4762 e) 0.2593 f) None of the abov

Answers

If 21 balls are placed in an urn, 12 being yellow, and 9 being red, the probability that the first ball drawn is a red ball is always 9/21 or approximately 0.4286. This answer is true regardless of what color the second ball is. The answer to this question is f) None of the above.

8-(x+3)=11 solve for x

Answers

If you're subtracting to add, you must subtract a negative number to be able to solve for x. So 8-(-6+3)=11. x= -6.
first multiply -1 by everything in the parenthesis, so it would be
8 - x - 3 = 11
combine like terms (8 and -3)
5 - x = 11
subtract 5 from both sides
-x = 11-5
-x = 6
divide both sides by -1 and you get 
x = -6




there are 500 seventh grade students at heritage middle school. sixty percent of them play a musical instrument. how many seventh grade students play a musical instrument

Answers

300 people play an instrament

20 POINTS PLEASE HELP, need it tonight
A system of equations is graphed on the coordinate plane.

2y=3x−14
y=6x−2
A. No solution
B. One solution
C. Infinitely many solutions

Answers

To answer this item, we may use the concept of substitution such that we substitute y of the second equation to y of the first equation.

   2(6x - 2) = 3x - 14

Simplifying,
    12x - 4 = 3x - 14

      x = -10/9

Calculating for the value of y,
   y = 6(-10/9) - 2
    y = -26/3

The solution of the system of linear equation is then (-10/9, -26/3).

Answer:

A

Step-by-step explanation:

Which of the following are true of bar graphs?

Answers

Data is displayed in intervals would be your correct answer.
Your answer I'm pretty sure is B there gaps between bars because when you make data you space them out (gaps) so no one will get confused which is which about the numbers.

Your answer is B.

Line CD passes through points (0, 2) and (4, 6). Which equation represents line CD?. .a. y = 2x – 2. b.y = 2x + 2. c.y = x + 2. d. y = x – 2

Answers

the equation for a line is y = m x  + b


using the first set of coordinates (0,2)
2 = m * 0 + b
b = 2

using the second set of coordinates (4,6)
6 = 4 m + 2
4 m = 4
m = 4 / 4
m = 1

 use those numbers into the line equation

y = x +2

Answer is C

Answer:

The equation of line is y = x + 2 .

Option (c) is correct .

Step-by-step explanation:

The equation of line is represented by

[tex](y-y_{1}) = \frac{(y_{2}-y_{1})}{x_{2}-x_{1}} (x-x_{1})[/tex]

As given

Line CD passes through points (0, 2) and (4, 6).

[tex](y-2) = \frac{(6-2)}{4-0}(x-0)[/tex]

[tex](y-2) = \frac{4}{4}(x-0)[/tex]

y -2 = x

y = 2 + x

Therefore the equation of line is y = x + 2 .

Option (c) is correct .

a football game had 20 and 2/3 minutes of commercials in the first 1 1/4 hours it was on at that rate how many minutes of commercials will be shown in three and a half hours

Answers

About 57.85 minutes worth of commercials will be shown. 

Solve: The quantity 2 x minus 10 divided by 4 = 3x

Answers

the answer is x= 0
2x-10/4=3x 
2x-10/4x=3x
2x-5/2x=3x
-x/2=3x
-x=6x
-x-6x=0
-7x=0
x=0

True or false. The equation csc^2x-1=cot^2x is an identity.

Answers

this answer is true

Answer: true

Step-by-step explanation:

a pe x

Type the integer that makes the following subtraction sentence true:

– 0 = 8

Answers

I guess that answer is 8-0=8

Because 8-0=?
Therefore, it is 8

8+0 =8. ¿is the 0 negative or positive ?

x(7x-3)(x^2+81)=0x (7x-3)(x2+81)=0

Answers

leave it that is the answer
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