Find the value of f(15) if f(x) = 100x – 5x2.

Answers

Answer 1

this problem is to replace the variable (here "x" ) with a certain numerical value.

the given function is f(x) followed by the algebraic expression " 100x -5x^2 "

now u r asked to find f(15), mean u have to find the value of the "expression" with the numerical value "15" replacing "x"

so it looks like this:

f(x) = 100x -5x^2

f(15) = 100*15 - 5*(15)^2   [only "x" got replaced by it's numerical value "15"]

now u can calculate it

so

f(15) = 1500 - 5*225 = 1500 - 1125 = 375 (Ans.)

hope u got the basic idea.

feel free to ask if u have further queries.

all the best!


Related Questions

Please answer this for me :)

Answers

Answer:

d = 1.5

Step-by-step explanation:

yes

Answer:

1.5

Step-by-step explanation:

First put like terms on one side:

-3/8d - 1/2d = -11/16 - 5/8

then make the demominators the same:

-3/8d - 4/8d = -11/16 - 10/16

add up the terms:

-7/8d = -21/16

solve for d:

d= 1.5

Chantel graphs S and T. The corresponding angles are congruent. The side lengths of T are 5 times as long as the corresponding side lengths of S. Can you give a sequence of transformations that will map S onto T?

Answers

Answer:

Turn it by 90 degrees

Step-by-step explanation:

Question is too vague sorry if this doesn't help

Answer:

fernanda i have no idea how to do this

Step-by-step explanation:

Matt was standing 3 feet from the edge of the pool he walked away from the pool for four seconds then he was 12 feet away from the edge of the pool

Answers

Answer: graph b

Step-by-step explanation:

(4x+45)
(5x-18)
Solve for x.

Answers

Answer:

Is there a certain equation?

Because my answer will probably be wrong.

Answer: x = 63

Step-by-step explanation:

Let’s just say that x in both cases is the same value.

Equation:

(4x + 45) = (5x - 18)

x = 63

Answer: x = 63

Step-by-step explanation:

How do you do this question?

Answers

Answer:

Divergent

Step-by-step explanation:

an = 3 sin(2/n)

Choose bn = 3 (2/n).

Using Limit Comparison Test:

lim(n→∞) an / bn

= lim(n→∞) [3 sin(2/n)] / [3 (2/n)]

= lim(n→∞) [sin(2/n)] / (2/n)

= 1

The limit is greater than 0, and bn diverges, so an also diverges.

is this a keep, change, change?
-9-8

Answers

Answer:

Yes, they cancel each other out.

Step-by-step explanation:

Personally never liked the keep, change, change method. Pemdas is what I use, however this is an easy one so nothing so major.

Compare and contrast xy with xy

Answers

Answer:

theres positive and negative

Step-by-step explanation:

i think that's what your talking about

Whata 7,500lb= to tons what's it

Answers

Answer:

3.75 tons djdhdjrjrhejejjwjwjsjs

Answer:

3.75 US tons

Step-by-step explanation:

1 ton =2000 pounds

so  7,500÷2000 =3.75

Samuel needs to mail a package to his friend in New York. He places an address label with length represented by the function L(w) = 3x³ + 2x² - 4x + 5 and width represented by the function w(x) = x + 2. Which of the following statements is true about the area of the label? Select all that apply.
1. A(x) = L(x) + w(x)


2. The resulting polynomial for a(x) will be a 4th degree polynomial


3. L(x)=A(x) divided by w(x)


4. The resulting polynomial for A(x) will have a leading coefficient of 6


5. A(x) = L(x) * w(x)

I know what the answers are its B,C,D but i need work showing how I got to that conclusion

Answers

Answer:b and e

Step-by-step explanation:I took the test

7(10x+5-9x)=70
I rly need help on this

Answers

Answer:

x = 5

Step-by-step explanation:

1. Combine like terms

2. Multiply by 1

3. Distribute

4. Subtract  3

5  from both sides of the equation

5. Simplify

6. Divide both sides of the equation by the same term

7. Simplify

Answer: x=5

Step by Step Explanation:
7(10x+5-9x)=70 distributive property
70x+35-63x=70 subtract common terms
7x+35=70 subtract both sides by 35
7x=35 divide both sides by 7
x=5

Mr. Gregory sold several cars this week. Here is some data about the cars he sold. Car sold Retail price Miles per gallon Seats Navigation? Accord \$22,205$22,205dollar sign, 22, comma, 205 323232 555 no Altima \$22,500$22,500dollar sign, 22, comma, 500 323232 555 no Camry \$23,070$23,070dollar sign, 23, comma, 070 303030 555 yes ... ... ... ... ... The individuals in this data set are: Choose 1 answer: Choose 1 answer: (Choice A) A Mr. Gregory's customers (Choice B) B Cars (Choice C) C Seats This data set contains: Choose 1 answer: Choose 1 answer: (Choice A) A 333 variables, 222 of which are quantitative (Choice B) B 333 variables, 333 of which are quantitative (Choice C) C 444 variables, 222 of which are quantitative (Choice D) D 444 variables, 333 of which are quantitative

Answers

Answer:

The individual in the data set is the cars sold

There are 4 variables but 3 are numerical or quantitative

Step-by-step explanation:

See Attachment for proper format of question.

Required

The individuals in this data set are:

This data set contains:

Solving (a):

From the attachment, we have the following columns:

Cars Sold; Retail Price; Miles Per Gallon; Seats; Navigation

From the list of columns, the individual in the data set is the cars sold because it represent what is being referenced in the table

Solving (b):

In (a) above, we established the individual to be cars sold.

The other 4 elements are what the data set contains i.e. variables.

From the attachment, we have that

retail price, miles per gallon and seats are numerical data while navigation isn't.

So, we can conclude that.

There are 4 variables but 3 are numerical or quantitative

Answer:

B

D

Step-by-step explanation:

I got it right on khan. Please send thanks

which of the following choices is equal to 22+36

Answers

Answer:

58

Step-by-step explanation:

FOR EXAMPLE:

Christa and her family went out for pizza and it cost $28. In Tennessee we have a sales tax that is 7% which has to be paid along with $28. What is the sales tax on $28?

Answers

7% of 28$ is $1.96. Hope that helps

Write an equation for each of the following phrases or word problems. Solve for the missing variable. a. Two times a number is 16. b. Two plus a number is 28. c. Three is a number divided by 6. d. Samuel is y years old. In 10 years, he will be 27. How old is Samuel? e. A third of a pizza is 400 calories. How many calories in the whole pizza?

Answers

Answer:

2x8=16

2+26=28

he is 17 years old and in ten years he will be 27

Step-by-step explanation:

Answer:

-1200 Calories

-$287 - $175 =$112  

Sanjai was paid $112

Step-by-step explanation:

The temperature at 2:00 AM was -15° Fahrenheit. The temperature rose by 3 ° each hour. What was the temperature at 6:00AM?​

Answers

Answer:

9 degrees farenehit

Step-by-step explanation:

Answer:   -3 degrees Fahrenheit.

=====================================================

Explanation:

x = number of hours since 2 AM

y = temperature in degrees Fahrenheit

The starting temperature is -15 degrees, so the y intercept is b = -15.

The temperature goes up 3 degrees each hour, so the slope is m = 3

The equation is y = 3x-15

Now plug in x = 4 since 6 AM is four hours after 2 AM.

We get the following

y = 3x-15

y = 3*4-15

y = 12-15

y = -3

The temperature at 6 AM is -3 degrees Fahrenheit.

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

Check:

Start at -15 and add 3 for each hour

It might help to make a number line.

2 AM = -15 degrees

3 AM = -12 degrees

4 AM = -9 degrees

5 AM = -6 degrees

6 AM = -3 degrees

This confirms the answer.

what is 1,557 divided by 34

Answers

if you have to round it, it’s about ≈45.8

Answer:

45.7941176471

Step-by-step explanation:

how many metric tons are in 834.8 mg?​

Answers

Answer:

8.384

Step-by-step explanation:

Answer:

8.348e-7 metric tons

Step-by-step explanation:

if you can help i’d appreciate it

Answers

Answer:

B- 44

Step-by-step explanation:

87.5 divided by 2 is 43.75. Since it's a square wall, the length and height are both the same, and since length times height is area, if you divide the area by two, you can get a length of one of the sides. Out of all the answers, 44 is the closest to 43.75.

hope this helped! -brooke :))

Jonathan bought a new car in November that cost $23,000. The value of the car decreases by 15% each year. What will the value of the car be in five years? *Give the exact value~nearest penny

Answers

Answer:

$5750

Step-by-step explanation:

To find what 15% is in money, we do

23,000*15/100=3450 for one year

3450*5(for five years)=$17,250

Now subtract that

23,000-17,250=$5750

how much is twice the size if im 3 ft 7 in tall​

Answers

Answer:

the answer is 7.1 inches tall

1. Let f(x) be defined by the linear function graphed below and
g(x) = x2 - 9x + 14.
I
A. Describe the right end behavior of g(x).

Answers

Answer:

Step-by-step explanation:

A). g(x) = x² - 9x + 14

     Since coefficient of highest degree term (x²) is positive, parabola will open upwards.

    For any parabola opening upwards,

    Right end behavior,

    y → ∞ as x → ∞

B). Let the equation of the linear function is,

    f(x) = mx + b

    Where m = slope of the function

    b = y-intercept

    From the graph attached,

    Slope 'm' = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{-(2+1)}{(0+1)}[/tex]

    m = -3

    b = -1

    Therefore, function 'f' will be,

    f(x) = (-3)x - 1

    f(x) = -3x - 1    

    g(x) = x² - 9x + 14

           = x² - 7x - 2x + 14

           = x(x - 7) - 2(x - 7)

           = (x - 2)(x - 7)

    If h(x) = f(x)g(x)

    h(x) = -(3x + 1)(x -2)(x - 7)

    For h(x) ≥ 0

    -(3x + 1)(x - 2)(x - 7) ≥ 0

     [tex]x\leq -\frac{1}{3}[/tex] Or 2 ≤ x ≤ 7

    Therefore, for 2 ≤ x ≤ 7, h(x) ≥ 0

C). If k(x) = [tex]\frac{h(x)}{(x-2)}[/tex]

    k(x) = [tex]\frac{-(3x+1)(x-2)(x-7)}{(x-2)}[/tex]

    k(x) = -(3x + 1)(x - 7)

    For k(x) = -56

    -(3x + 1)(x - 7) = -56

     3x² -20x - 7 = 56

     3x² - 20x - 63 = 0

     3x² - 27x + 7x - 63 = 0

     3x(x - 9) + 7(x - 9) = 0

     (3x + 7)(x - 9) = 0

     [tex]x=-\frac{7}{3},9[/tex]

Harry has a part-time job as a babysitter. The table below shows the amount of money Harry earned for different numbers of hours of work:

Harry's Earnings from Babysitting
Number of Hours Worked Money Earned (dollars)
5 60
6 72
8
120

Part A: What are the missing numbers in the table? Show your work. (4 points)

Part B: Harry also does part-time yard work. The ratio of the number of hours Harry works in the yard to the money he earns in dollars is 1:10. Create a table to show the money earned by Harry for 5, 6, and 8 hours of work in the yard. (3 points)

Part C: How many more dollars does Harry earn working as a babysitter for 5 hours than doing yard work for 5 hours? Show your work. (3 points)

Answers

Answer:

Part A- The 1st box is 96 and the second box is 10.

PartB-

Part C-

Step-by-step explanation:

Part A:

5x12=60

6x12=72

8x12=96

10x12=120

So the 1st box is 96 and the second box is 10.

Part B:

5     $50

6     $60

8     $80

I know this because Harry receives $10 per hour so you have to multiply the number of hours by $10.

Part C:

If Harry babysits for 5 hours, he would receive $60 but if he does yard work for 5 hours, he would receive $50. Harry would receive $10 more by babysitting than by doing yard work.

Hoped this helped.

how many students have used all three modes of transportation? solution please​

Answers

Complete question is;

In a class of 40 students, 17 have ridden an airplane, 28 have ridden boat, 10 have ridden a train, 12 have ridden an airplane and a boat, 3 have ridden a train only, and 4 have ridden airplane only. Some students in the class have not ridden any of the three modes of transportation and an equal number have taken all three. How many students have used all three modes of transportation?

Answer:

4 students

Step-by-step explanation:

Let the number of students who used airplane be A

Let the number of students who used boat be B

Let the number of students who used train be C

Now, we are told that 17 rode plane.

Thus; A = 17

28 rode boat; B = 28

10 rode train; C = 10

12 rode airplane and boat; A ∩ B = 12

4 rode plane only; A' = 4

3 rode boat only; C' = 3

Total number of students; T = 40

Now, total number of students is represented by;

T = A - B - C - (A ∩ B) - (B ∩ C) - (C ∩ A) + (A ∩ B ∩ C)

We don't have (B ∩ C) and (C ∩ A).

Now, the can be derived from the expression of C' which is;

C' = C - (B ∩ C) - (C ∩ A)

C' = C - [(B ∩ C) + (C ∩ A)]

We are given C' = 3 and C = 10

Thus;

3 = 10 - [(B ∩ C) + (C ∩ A)]

10 - 3 = [(B ∩ C) + (C ∩ A)]

7 = [(B ∩ C) + (C ∩ A)]

Rearranging the total number of students equation, we now have;

T = A - B - C - (A ∩ B) - [(B ∩ C) + (C ∩ A)] + (A ∩ B ∩ C)

Where;

(A ∩ B ∩ C) is the number of students that used all three modes of transportation.

Thus, plugging in the relevant values;

40 = 17 + 28 + 10 - 12 - 7 + (A ∩ B ∩ C)

40 = 36 + (A ∩ B ∩ C)

(A ∩ B ∩ C) = 40 - 36

(A ∩ B ∩ C) = 4

Turn - Find the value of e
(4w - 6)
+
Find the value of each variable

Answers

There is 180 degrees in a triangle, so w+w+(4w-6) = 180
6w-6=180
6w=186
w=186/6
w=31

find the value of x
The answer is 150.
I need to show my work.

THANKSSSS

Answers

Answer:

x = 150

Step-by-step explanation:

We know a circle is 360°, so the angles must add up to 60°.

Step 1: Set up equation

x - 120 + x - 120 = 60

Step 2: Solve for x

Combine like terms: 2x - 240 = 60Add 240 on both sides: 2x = 300Divide both sides by 2: x = 150

Step 3: Check

Plug in x to verify it is correct.

150 - 120 = 30°

150 - 120 = 30°

30° + 30° = 60°

60° + 300° = 360°

What is x and y called together in parenthesis?

Answers

Ordered pair? Is that what you are looking for?

Answer:

coordinates...

Step-by-step explanation:

x and y in parenthesis looks like: (x,y)

these are called coordinates

In a square, what is the relationship between the length of a side and the area?
A. proportional
B. cannot be determined
c. non proportional
d. ratio

Answers

To find this answer I watched a Video called is side length & area proportional? by Khan Academy this is a very good website I use a lot!
The answer is non proportional I believe because the side length is x, so is the other side lengths because in a desire side lengths are all equal and to find area you do x squared or x times x. So they are not proportional because there will be different numbers for each. Ex. X= 2, area ( x squared ) is 4.

The relationship between the length of a side and the area is non proportional. so option C is correct.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

In a square, we need to find the relationship between the length of a side and the area.

The answer is non proportional because the side length is x, so is the other side lengths.

The side lengths are all equal and to find area you do x squared or x times x.

So they are not proportional because there will be different numbers for each.

For example. X= 2, area ( x squared ) is 4.

Hence, The relationship between the length of a side and the area is non proportional. so option C is correct.

More can be learned about proportions at;

brainly.com/question/24372153

#SPJ2

The largest angle formed during his trip is_____. At his home. At the mall. Between the mall and the library. Between his home and the library.

Answers

Answer:

B. "at the mall"

Step-by-step explanation:

EDU 2020

Answer:b

Step-by-step explanation:

5/6x-7/6=8 what Is the value of x

Answers

Answer:

x=11

Step-by-step explanation:

Bank tellers earn a weekly
salary of $200 plus $10 per
hour worked. Rebecca would
like to work at least 20 hours
each week. Use the graph to
model this scenario. How
much money will Rebecca
earn working at least 20
hours each week?

Answers

Answer:

2000 dollars

Step-by-step explanation:

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