sketch the graph of a function f having the given characteristics.

f(0)=f(2)=0
f'(x)<0 if x < 1
f'(x)=0
f'(x) > 0 if x > 1
f''(x) > 0

Answers

Answer 1
So...that's telling you:
Y=0 at x=0 and x=2
The graph is decreasing when X is less than 1
f'(x) can not equal 0 with the previous statement.... please give the correct statement... I would assume that is is f'(1)=0, so there would be a max at x=1
f(x) is increasing when x is greater than 1
and if f''(x) is always 0, the graph is always concave downward.
Answer 2

The solution is, f(x) is increasing when x is greater than 1

and if f''(x) is always 0, the graph is always concave downward.

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

Y=0 at x=0 and x=2

The graph is decreasing when X is less than 1

f'(x) can not equal 0 with the previous statement....

please give the correct statement... I would assume that is is f'(1)=0, so there would be a max at x=1

f(x) is increasing when x is greater than 1

and if f''(x) is always 0, the graph is always concave downward.

To learn more on function click:

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Related Questions

identify the decimal labeled with the letter A on the scale below

Answers

It equals 0.6 just count the lines :)

The decimal labeled with the letter A on the scale is 0.75.

What is number line?

A number line can be defined as a straight line with numbers placed at equal intervals or segments along its length.

Here, the number starts with zero.

There are 8 division between 0 and 1.

So, first one represent 1/8=  0.125

second one =0.25

third one= 0.375

fourth one= 0.50

fifth one= 0.625

sixth one= 0.75

Hence, the decimal labeled with the letter A on the scale is 0.75.

learn more about number line here:

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the function f(x) varies inversely with x and f(x)=8 when x=3
what is f(x) when x=2
12
14
22
48

Answers

I hope this helps you

Answer:

[tex]12[/tex]

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]

In this problem we have

For [tex]x=3[/tex] -----> [tex]f(x)=8[/tex]

so

Find the value of k

[tex]f(x)*x=k[/tex]

substitute the value of x and f(x)

[tex]8*3=k[/tex]

[tex]k=24[/tex]

therefore

the equation is equal to

[tex]f(x)=24/x[/tex]

For [tex]x=2[/tex] -------> substitute in the equation and find the value of f(x)

[tex]f(x)=24/2=12[/tex]

Suppose that sin(θ)=6/10 and θ is in the second quadrant. Use trigonometric identities to find the following quantities exactly.

Answers

sin(theta) = 6/10 and theta is in the second quadrant. Use trigonometric identities to find the following quantities exactly.
---
sin = 3/5
============= 
(a) cos(theta)
cos = sqrt(1 - sin^2) = -4/5 (negative in Q2)

-----
(b) sin(2theta) =
sin(2t) = 2sin(t)*cos(t) = -24/25 --> Q3
-----
(c) cos(2theta
cos(2t) = sqrt(1 - sin^2(2t)) = -7/25 (negative in Q3)
-----
(d) tan(2theta) = = sin(2t)/cos(2t) = 24/7 (+ in Q3)
[tex]tan \theta = \frac{sin \theta}{cos \theta} = \frac{3/5}{-4/5} = \frac{3}{5}*\frac{-5}{4} = -\frac{3}{4}[/tex]

[tex]csc \theta = \frac{1}{sin \theta} = \frac{5}{3} \\ sec \theta = \frac{1}{cos \theta} = -\frac{5}{4} \\ cot \theta = \frac{1}{tan \theta} = -\frac{4}{3} [/tex]

A store has a contest to guess the mass of 10,000 peanuts if a peanut has a mass of about 0.45 g what would be a reasonable guess with a mass of 10,000 peanuts

Answers

You can just multiply the 0.45 grams by 10,000. Just keep moving to decimal to the right.

0.45 * 10000 = 4500

The mass of 10,000 peanuts is 4,500 g or 4.5 kg.

The question asks for a reasonable guess for the mass of 10,000 peanuts, given that each peanut has a mass of about 0.45 g. To calculate this, we simply multiply the number of peanuts by the mass of each peanut:

Mass of one peanut = 0.45 g
Number of peanuts = 10,000
Total mass = 0.45 g/peanut x 10,000 peanuts

Now we will carry out the multiplication:

Total mass = 4,500 g

Since we are dealing with a large quantity of peanuts, it is more convenient to express this mass in kilograms:

4,500 g is equivalent to 4.5 kg (since 1 kg = 1,000 g).

The Martin family's truck gets an average of 25 miles per gallon. Predict how many miles they can drive using 7 gallons of gas.

Answers

I believe they can drive 3.57 miles.
175 miles because 1gallon = 25 miles
                                  7 gallons = x
25*7 = 1x
175 = x

175 miles.

If the diameter of the duct is 5.2 inches what's the area of the circular hole

Answers

This should be the answer: A ≈ 21.24 in²

why is 50 + 7 x 5 = 85

Answers

If you follow the order of operations, you'll get the right answer.

The order of operations is this: PEMDAS.
(P) - Parenthesis
(E) - Exponent
(M) - Multiplication
(D) - Division
(A) - Addition
(S) - Subtraction

You can also memorize the order of operations by keeping this sentence in mind:
(P)lease (E)xcuse (M)y (D)ear (A)unt (S)ally

If you follow it, doing the multiplication first, you'll get the answer right.
First, 7 multiplied by 5 is equal to 35. Next, if you add 50 to 35, you'll get 85.
I hope you find this the most helpful! :)

"The answer is: 50 + 7 x 5 = 85 is correct due to the order of operations.

To understand why 50 + 7 x 5 equals 85, we must follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). According to this rule, multiplication and division are performed before addition and subtraction.

 Let's break down the expression step by step:

1. Identify the multiplication part of the expression: 7 x 5.

2. Perform the multiplication first: 7 x 5 = 35.

3. Now, we have 50 + 35, since we have already computed 7 x 5.

4. Finally, perform the addition: 50 + 35 = 85.

So, following the order of operations, we correctly get that 50 + 7 x 5 equals 85."

the sales tax rate for the state of washington was 5.1% . What is the sales tax on a $5900 car in Washington?

Answers

$300.9. I got that by multiplying $5900 by 0.051.
5900$/5.1%
1156.86
5900+1156.86
7056.86$


You weigh a gallon of 2% milk in science class and learn that it is approximately 8.4 pounds. You pass the milk to the next group, and then realize that you teacher wants it in kilograms, not pound. Explain how you can adjust your answer without weighing the milk again. Then give you the weight in kilograms.

Answers

Well first of all the kilogram is a unit of mass not a unit of weight. Your teacher should never have asked for weight in kilograms. If your class is meeting on Earth then one kilogram of mass weighs about 2.2 pounds. You can just divide your 8.4 pounds by 2.2. The quotient is 3.9 and that's the mass of the milk in kilograms. Be careful. If your class is meeting on some other planet then one kilogram of mass doesn't weigh 2.2 pounds there.

a construction company is planning to bid on a building contract. the bid costs the company $1900. the probability that the bid is accepted is 1/10. if the bid is accepted, the company will make $94000 minus the cost of the bid.
a. what is the expected value in this situation?

Answers

Final answer:

The expected value for the construction company if they bid on the contract is $7,500, calculated by weighing the potential profit and loss with their respective probabilities.

Explanation:

The question is asking us to calculate the expected value of the construction company's bid on a building contract. To find the expected value, we need to multiply each outcome by its probability and sum these amounts.

There are two possible outcomes:

The bid is accepted, which happens with a probability of 1/10, and the company makes $94,000 minus the $1,900 cost, resulting in a profit of $92,100.The bid is not accepted, which has a probability of 9/10, and the company loses the $1,900 cost.

The expected value (EV) is calculated as follows:
EV = (Probability of acceptance × Net profit when accepted) + (Probability of not being accepted × Loss when not accepted)
EV = (1/10 × $92,100) + (9/10 × -$1,900)
EV = $9,210 - $1,710
EV = $7,500

The expected value for the construction company if they bid on the contract is $7,500.

explain how you can determine if four points lie on a single parabola

Answers

four points in the plane determine two conjugate parabolas, each of which ... system we can fit a second degree polynomial to the three points P1,P3,P4. ... of the quadratic give the two orientations in which the four points lie on a single ... shows that if a parabola with vertical axis intersects a horizontal line at points P,Q
1.) Plug them into the equation

2.) They should all be symmetric to some line. If this is a slant asymptote, it's much harder to determine. However, if you are being asked this question, I would guess you're taking either Algebra I or II. In which case there should be a vertical or horizontal line they are symmetric to... and there should be 2 sets of points with equivalent X OR Y values.... determine the line. If you're able to, they're on a parabola....if not, they probably aren't.

4 options but only 3 have sea views what fraction has sea view

Answers

3/4, because 3/4 is like saying "3 out of 4", which this is

raise g
to the 7th power,
then subtract h
from the result

Answers

Final answer:

To carry out the student's request, you would first raise 'g' to the 7th power to obtain g^7, then subtract 'h' from this result to get the final expression 'g^7 - h'.

Explanation:

To solve the expression mentioned by the student, you need to carry out two mathematical operations in sequence. The first operation is raising 'g' to the 7th power, which can be expressed as g^7. The second operation is subtracting 'h' from the result of the first operation. This can be represented mathematically as g^7 - h.

For example, if g equals 2 and h equals 3, then you would first calculate 2^7 which equals 128. Then you would subtract 3 from 128, yielding an answer of 125.

resultado de x/12 = 9/x+2

Answers

x=27.874508 or x=−3.874508

-n^2+16n-63/n^2-2n-35

Answers

hope this helps, I simplified it -n^2+14x-63/x^-35

what is 1.375 as a fraction

Answers

The answer would be 1 3/8.

Final answer:

To convert 1.375 to a fraction, express it as 1,375/1,000 and simplify by dividing by the greatest common divisor, which is 125, to get 11/8.

Explanation:

To convert the decimal 1.375 to a fraction, we will follow a few steps. First, count the number of decimal places, which in this case is three. This tells us that the denominator of the fraction should be a power of 10; specifically, 1,000. So we write 1.375 as 1,375/1,000. Next, we simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator. In this case, the GCD of 1,375 and 1,000 is 125. When we divide both the top and the bottom by 125, we get 11/8, which is the simplest form of the fraction.

Converting decimals to fractions involves aligning the decimal with the appropriate power of 10 in the denominator and simplifying by finding the greatest common divisor. This systematic approach ensures the representation of the decimal as a simplified fraction, such as 11/8 in the case of 1.375.

On Monday David travels m miles. On Tuesday he travels 35 more than he did on Monday. On Wednesday he travels a total of twice the distance he travelled Monday. Work out and expression of the total distance he travels during the three days

Answers

Final answer:

To find the total distance David travels during the three days, we add up the distances he travels on each day: m + (m + 35) + 2m = 4m + 35 miles.

Explanation:

To find the total distance David travels during the three days, we need to add up the distances he travels on each day.

On Monday, David travels m miles.

On Tuesday, he travels 35 more than he did on Monday, so he travels m + 35 miles.

On Wednesday, he travels twice the distance he traveled on Monday, so he travels 2m miles.

To find the total distance, we add up the distances on all three days:

Total distance = m + (m + 35) + 2m = 4m + 35 miles.

what is 84 divide by 4

Answers

The answer to 84 divided by 4=21.
It's 21. If you multiply 4 by 21 you get 84. Not good at giving math explanations sorry.

Please help me with substitution! I'm terrible at it. :(
-3x+5y=-11
y=2x-5

Answers

-3x+ 5* 2x-5= -11
 -3x+10x-5=-11
(-3x=10x=7)
7x-5=-6
(+5 on each end)
7x=-6
divide by 7

A hacker is trying to guess someone's password. The hacker knows (somehow) that the password is 15 characters long, and that each character is either lowercase, an uppercase letter or a numerical digit. Assume that the hacker makes a random guess.

What is the probability that the hacker guesses the password on his first try? Enter your answer as a decimal or a fraction.

Answers

Final answer:

The probability that the hacker guesses the password correctly on the first try is 1 / 62^15.

Explanation:

To calculate the probability that the hacker guesses the password correctly on the first try, we need to determine the total number of possible passwords and divide it by the total number of possible guesses.

Since the password is 15 characters long and each character can be a lowercase letter, an uppercase letter, or a numerical digit, there are 26 + 26 + 10 = 62 possible options for each character.

Therefore, the total number of possible passwords is 62^15 (62 raised to the power of 15).

The probability of the hacker guessing the password correctly on the first try is 1 divided by the total number of possible passwords.

So, the probability is 1 / 62^15. This can be left as a fraction or converted to a decimal.

3 chairs and a table cost 149 4 chairs and a table cost 177 how much does each item cost?

Answers

3C + T = 149
4C + T = 177

-3C - T = -149 [ Mutiply by -1 ]
4C + T = 177

C = 28

T = 149 - 3(28) = 65

For a particular event, 845 tickets were sold for a total of $4162. If students paid $4 per ticket and non students paid $6 per ticket, how many student tickets were sold?

Answers

Final answer:

Using a system of equations, we found that 454 student tickets were sold at the event.

Explanation:

To determine how many student tickets were sold for the event, we need to set up a system of equations based on the information given. Let's define x as the number of student tickets sold at $4 each, and y as the number of non-student tickets sold at $6 each.

The total number of tickets sold (student plus non-student) is given as 845 tickets:

x + y = 845

The total amount of money made from selling these tickets is $4162:

4x + 6y = 4162

Now we have a system of two equations:

x + y = 845

4x + 6y = 4162

We can solve this system by multiplying the first equation by 4:

(4)(x + y) = (4)(845)

4x + 4y = 3380

Now, we subtract this new equation from the second equation given by the total amount made to eliminate y:

4x + 6y - (4x + 4y) = 4162 - 3380

2y = 782

Dividing both sides of this equation by 2 gives us:

y = 391

Now, substitute y back into the first equation to find x:

x + 391 = 845

x = 845 - 391

x = 454

So, 454 student tickets were sold.



If u bring 10 empty bottles to the bottle shop, the bottle shop will change 10 empty bottles to 1 drink. If u bring 100 bottles to the shop. How many drinks will you get?

Answers

In order to calculate this, we can set up a simple ratio. We say that 10 empty bottles : 1 drink 100 empty bottles : x drinks We cross multiply to form the equation: 10x = 100 Now, we can simply solve for x to determine the number of drinks we would get for 100 bottles. x = 10 So we will get 10 drinks if we bring 100 bottles to the bottle shop.Hope this helps. Let me know if you need additional help!

By bringing 100 bottles to the shop, you will receive 10 drinks.

The students question relates to a mathematical conversion problem, where empty bottles are exchanged for drinks at a bottle shop. If the conversion rate is 10 empty bottles for 1 drink, then by bringing 100 bottles, we can set up a simple division:

Number of bottles: 100

Conversion rate: 10 bottles per drink

To find out how many drinks you can get for 100 bottles, we divide the total number of bottles by the conversion rate:

Divide 100 (bottles) by 10 (bottles per drink).

100 / 10 = 10

Therefore, by bringing 100 bottles to the shop, you will receive 10 drinks.

Find a whole number solution that makes the following true
a.) Divisible by 2 and 3 but not 6
b.) Divisible by 5 and 10 but not 2

Answers

I don't think any of them exist. the only ones I can think of make my feel there are any others

solution for 5y+2y = -24

Answers

7y=-24
y= -24/7
 You have to add the two vaiables and then divide to get the y by itself.
Simplifying
5y+2y= -24

Combine Like Terms
Y
7y=-24

Solving
7y=-24

Solving for variable 'y'

Move all terms containing y to the left, all other terms to the right.

Divide each side by '7'
Y=-3.428571429

Answer

Y= -3.428571429

Danielle and David each have a job. Danielle earns $15 an hour. She also receives a $50 weekly bonus. Danielle wrote an equation to determine how much she earns in a given week. y=15x+50y=15x+50 David earns $12 an hour and receives an $80 weekly bonus. David made a graph to show how much he earns in a given week. How many hours will it take Danielle and David to earn the same amount of money? Enter your answer in the box below.

Answers

For starters, create an equation to show David's earnings. We can do this using Danielle's as a basis, which is set up as y=(# of hours)x+(bonus). This gives us y=12x+80. Now, as we need both their ys to be equal, we just set both equations equal to each other, making 15x+50=12x+80. Now, we solve for x, starting with 15x+50=12x+80, subtracting 12x from both sides to get 3x+50=80, subtracting 50 from both sides to get 3x=30, and dividing three from both sides to get x=10. To check, we just plug in our answer to both equations and see if the ys match up. With Danielle's equation, we get y=15(10)+50=150+50=200 and with David's equation, we get y=12(10)+80=120+80=200, proving that our answer is correct.

Answer:10

Step-by-step explanation:

Area model division 246÷3

Answers

246 divided by 3 should equal 82

Answer:

it is right

Step-by-step explanation:


1. In the on-line convex-hull problem, we are given the set Q of n points one point at a time. After receiving each point, we compute the convex hull of the points seen so far. Obviously, we could run Graham’s scan once for each point, with a total running time of O(n2lg n). Show how to solve the on-line convex-hull problem in a total of O(n2) time.
2. Show how to implement the incremental method for computing the convex hull of n points so that it runs in O(n lg n) time.

Answers

if its 1 or 2 then 2 hope i helped

Terry added 3 and 7 he got the sum of 9 his answer is is not correct described how Terry can find the correct sum

Answers

He is not correct because 3+7=10 and not 9

if Q(x)=4x^2 -1, find Q (-7)

Answers

4(-7)²−1
4(49)-1
196-1
=195
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