if -1 < x < 0 which of the following has the smallest value?

(A) x^2
(B) x^3
(C) x^4

Answers

Answer 1

Answer: (B) x^3

Explanation:

If you compare the graphs of

y = x^2y = x^3y = x^4

all on the interval -1 < x < 0, you'll find that y = x^3 is the smallest when x = -1

Squaring a negative number leads to a positive result, and similarly that happens with x^4 as well. This is because x^4 = (x^2)^2.

Plugging x = -1 into x^3 leads to y = -1 as a result.


Related Questions

Answer correct plz if u steal points ill report

Answers

Answer:

I my knowledge

option D y=6x

Step-by-step explanation:

and I am 100% sure you

Answer:

y=6x

Step-by-step explanation:

(2 + 9) (3 ÷ 4) answer this

Answers

Answer:

Fraction- 33/4

Decimal- 8.25000

Step-by-step explanation:

Hope this helps!

Brain-List?

help pls due today i am just trying to get good grades

Answers

Answer:

c

Step-by-step explanation:

because the question already told that a table has four chairs. So, we need the number of tables in the cafe to calculate number of chairs

A 1125 ft^3 open-top rectangular tank with a square base x ft on a side and y ft deep is to be built with its top lush with the ground to catch runoff water. The costs associated with the tank involve not only the material from which the tank is made but also an excavation charge proportional to the product xy.a. If the total cost isc = 5(x^2 + 4xy) + 10xy,what values of x and y will minimize it?b. Give a possible scenario for the cost function in part (a).

Answers

Answer:

The values of x and y that will minimize the cost is 15 ft and 5 ft respectively and the minimum cost will 3,375

Step-by-step explanation:

With a 1125 ft^3 open-top rectangular tank with a square base x ft on a side and y ft deep is to be built with its top lush with the ground to catch runoff water, x is the length, y is the height;

x^2*y = 1125

y = 1125/x^2 ----(1)

The total cost of c = 5(x^2 + 4xy) + 10xy

Then,

c = 5(x^2 + 4x*(1125/x^2)} + 10x*(1125/x^2)

c = 5x^2 + 22,500/x + 11,250/x

c = 5x^2 + 33,750/x

To minimize the cost of c, find the derivatives of c; c'

c' = 10x - 33,750/x^2

c' = (10x^3 - 33,750)/x^2

c'(x) = 0; 10x^3 = 33,750

x = ³√33,750 = 15

x = 15; y = 1125/x^2

y = 1125/15^2 = 5

(x,y) = (15,5)

c = 5x^2 + 33,750/x

c = 5*15^2 + 33,750/15 = 3,375

The values of x and y that will minimize it is 15 ft and 5 ft respectively and the minimum cost will 3,375

The values of x and y that will minimize the cost is 15ft and 5ft. The minimum cost is 3,375

We have volume of a rectangular tank = 1125 ft^3

Side of a rectangular tank = x ft and

Length of a rectangular tank =y ft  

So, [tex]x^2y = 1125[/tex]

[tex]y = \frac{1125}{x^2} ...(1)[/tex]

The total cost of rectangular tank (c) = [tex]5(x^2 + 4xy) + 10xy[/tex]

 [tex]c = 5(x^2 + 4x(\frac{1125}{x^2} ) )+ 10x(\frac{1125}{x^2} )\\c = 5x^2 +\frac{22,500}{x} + \frac{11250}{x} \\c = 5x^2 + \frac{33750}{x}[/tex]

Differentiating it w.r.t x, we get

[tex]c' = 10x - 33,750/x^2\\c' =\frac{10x^{3}-33750 }{x^{2} } \\c'(x) = 0\\10x^3 = 33,750\\x = \sqrt[3]{33,750} \\ = 15\\x = 15; y = \frac{1125}{x^2} \\y = \frac{1125}{15^{2} } \\= 5\\(x,y) = (15,5)\\c = 5x^2 + \frac{33750}{x} \\c = 5(15)^2 + 33,750/15 \\= 3,375[/tex]

The values of x and y that will minimize the cost is 15 ft and 5 ft and the the minimum cost is 3,375.

Learn more:https://brainly.com/question/6995312

Write the point-slope form of the equation of the line through the given point and slope.
through: (1, -2), slope = -6
y - 2 = -6 (x + 1)
y - 2 = 6 (X + 1)
y + 2 = -6 (x - 1)
y + 2 = 6 (x - 1)

Answers

Answer:

[tex]y +2 =-6(x - 1)[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (1,-2)[/tex]

[tex]m=-6[/tex]

Required

Determine the point slope equation

This can be determined using the following formula:

[tex]y - y_1 =m(x - x_1)[/tex]

Where:

[tex](x_1,y_1) = (1,-2)[/tex]

[tex]m=-6[/tex]

So, we have:

[tex]y - (-2) =-6(x - 1)[/tex]

This gives:

[tex]y +2 =-6(x - 1)[/tex]

Hence, the point slope form is [tex]y +2 =-6(x - 1)[/tex]


A and B are equidistant from the line l. How many circles can be drawn with their centres on line l and that pass through both A and B?

A. 1
B. 2
C. 3
D. 4
E. >10​

Answers

Answer:

just one.. so A

Step-by-step explanation:

Given the expression 1/4 - 3/5, select the addition problem that is equivalent to it.

Answers

Given that,

An expression [tex]\dfrac{1}{4}-\dfrac{3}{5}[/tex]

To find,

The value of above expression.

Solution,

We have,

[tex]\dfrac{1}{4}-\dfrac{3}{5}[/tex]

The LCM of 4 and 5 is 20.

[tex]\dfrac{1}{4}-\dfrac{3}{5}=\dfrac{(5)-4(3)}{20}\\\\=\dfrac{5-12}{20}\\\\=\dfrac{-7}{20}[/tex]

So, the required answer is [tex]\dfrac{-7}{20}[/tex].

Line segment EG is partitioned by point F in the ratio 1:3. Point E is at E (0,4), and point F is at (1,3). What are the coordinates of point G?

Please help ASAP.. I’m really stuck >.< Any help is appreciated! (70 Points!!)

Answers

Answer:

1,4

Step-by-step explanation:

0,4 1,3 has to be farther

Answer:

(4,0)

Step-by-step explanation:

Hugo and Viviana work in an office with ten other coworkers. Out of these 12 workers, their boss needs to choose a group of four to work together on a project. Suppose Hugo and Viviana absolutely refuse, under any circumstances, to work together. Under this restriction, how many different working groups of four can be formed

Answers

Answer:

450

Step-by-step explanation:

The total number of possible working groups of 4 workers selecting from 12 workers is the number of ways of selecting 4 persons from 12 persons

[tex]=\binom{12}{4}=\frac{12\times 11 \times 10 \times 9}{1\times 2 \times 3\times 4}=495[/tex]

The total number of possible groups of 4 workers in which 2 persons (Hugo and Viviana) always come together

[tex]= \binom {12-2}{4-2}=\binom {10}{2}=\frac{10\times9}{1\times2}=45[/tex]

So, the total number of possible working groups in which Hugo and Viviana are not working together in any of the groups [tex]= 495-45=450[/tex].

A bag of skittles contains green, orange, red, and yellow candies. 2/3 of the bag contains green and orange candies and 1/12 of the bag is red candies. What is the probability of picking out a yellow skittle from this bag?

Answers

Answer:

4/12

Step-by-step explanation:


Which function is represented by the graph

Answers

Answer: y = -2|x| + 1

Step-by-step explanation: it is an absolute value function, y = |x|, moved up one. then we see that it has been flipped. it has also been vertically stretched by a factor of 2.

In a game of chance there is a box filled with 20 black balls, 13 red balls, and 7 green
balls. If a single ball is drawn from the box, then what is the probability that the ball
is green?

Please help me out.

Answers

Answer:

7/40

Step-by-step explanation:

7 balls are green-->numerator

7 balls out of 40( in total) are green.

7/40

This means that out of every 40 balls picked, 7 of them should be green.

Figure ABCD is a rectangle. Find the value of x. 9x - 6 3x + 12 x= [?]

Answers

Answer:

x=3

Step-by-step explanation:

9x-6=3x+12

6x=18 |:6

x=3

Fractions finding the whole

Answers

Answer:

top left: 1/3

top right: 16

bottom left: 1/3

bottom right: 15

Step-by-step explanation:

ILL MARK BRAINLIST!!!

Answers

Answer:

its 2

Step-by-step explanation:

There are 16 girls and 18 boys in a class. The teacher chooses a student's name at random to answer a question.
What is the probability that the teacher chooses a girl to answer the question?
А: 1/34
B:1/16
C:8/17
D: 8/9

Answers

Answer:

I would go with c

Step-by-step explanation:

if it is incorrect sorry

I would A because if you do 16+18 that is 34 and the teacher would only be choosing one girl. So I think it is A. I’m sorry if this is wrong! Have a great day!

p-1÷p=5 then p2-1÷p2=? finda the value of p

Answers

Answer:

10

Step-by-step explanation:

since everything is doubled

we just do 5 multiplyed by 2

Whoever answers this question correctly will get a 5.0 rating, thanks, and a brainlyist.

The question is on the screenshot.


RULE 1: Do not answer just for points because that's just mean.

Answers

The answer will be B because if you multiply 1/4 times 2/5 you get 1/10

Watch help video
What is the surface area of the cylinder with height 2 km and radius 8 km? Round
your answer to the nearest thousandth.

Answers

Answer:

I think its 502.65 km 2

Step-by-step explanation:

(This is what I think, I might be wrong)

Answer:

502.655km

Step-by-step explanation:

help please!!! PLEASE HELP!

Answers

9514 1404 393

Answer:

  x = 8

Step-by-step explanation:

Corresponding segments are proportional.

  2x/12 = (x+4)/9

  18x = 12(x +4) . . . . . multiply by 9·12

  6x = 48 . . . . . . . . . . subtract 12x

  x = 8  . . . . . . . . . . . . divide by 6

Please help hurry. Drag each number to the correct location on the table.
Classify the numbers according to their positions on a vertical number line





Answers

Answer:

Between -2 and 1 is -0.5 and 0.5

Below -2 is -4.5 and -2.5

Above 1 is 4 and 1.5

Step-by-step explanation:

Can i have brainliest?

Answer:

Below -2: -4.5 & -2.5

Between -2 & 1 : -0.5 & 0.5

Above 1: 4 & 1.5

Step-by-step explanation:

Hopefully that helps you guys!!!

4 quarts of organic grapes cost $20 what is the cost per quart

Answers

5$, since if you 5 x 4 = 20

List the angles of the triangle in order from largest to smallest.

Question 1 options:


A)
∠B, ∠C, ∠A


B)
∠A, ∠B, ∠C


C)
∠A, ∠C, ∠B


D)
∠C, ∠B, ∠A

Answers

The largest angle is opposite the longest side. Likewise, the smallest angle is opposite the smallest side.

So with this information, it is obvious that c is the largest angle and a is the smallest angle.

So your answer is option d

Answer:

Step-by-step explanation:

A 3-column table with 3 rows. Column 1 is labeled Seller with entries wholesaler, Distributor, Retail Store. Column 2 is labeled markup with entries 0 percent, 100 percent, 80 percent. Column 3 is labeled Selling Price with entries 80 cents, A, B. A distributor buys packs of trading cards from a wholesaler for $0.80 each. The distributor marks up the cards by 100% before selling them to stores. How much does the distributor sell each pack of cards for? The stores then mark up the cards another 80% before selling them to customers. How much does the retailer sell a pack of cards for? A = B =

Answers

Answer:

Step-by-step explanation:

Answer:

$1.60

$2.88

Step-by-step explanation:

To find the selling price of the distributor and the retailer, we first need to find how much the distributor sells each pack of cards.

To find the selling price we use the formula.

Selling Price = Cost + Markup

Cost = $0.80

Markup rate = 100% or 1

Selling Price = 0.80 + (0.80*1)

Selling Price = $1.60

So the distributor sells each pack of cards at $1.60 to the retailer.

Now to find the selling of the retailer, we need to use the selling price of the distributor.

Cost = $1.60

Markup rate = 80% or 0.80

Selling price =  1.60 + (1.60 * 0.80)

Selling price = $2.88

So the retailer sells each pack of cards at $2.88 to the customers.

Answer:

A = $1.60

B = $2.88

Step-by-step explanation:

I did the work on brainly and got it right

Hope this helps :D

Chloe invests money in an account paying simple interest. She invests $200 and no money is added or removed from the investment. After one year, she has $204. What is the simple percent interest per year?

Answers

Answer:

2%

Step-by-step explanation:

Chloe's simple interest for 1 year is $4. You can get this by subtracting the amount she invested from the total amount she got after one year.

$204 - $200 = $4

Now that we know the simple interest, we can now get the simple interest rate or simple percent interest per year by dividing $4 by $200.

$4 ÷ $200 = 0.02

Let's change 0.02 into a percentage.

0.02 x 100 = 2%

This means that every year, her investment will earn a 2% simple interest.

Answer:

2%

Step-by-step explanation:

Find f(-4) if f(x) = -3x+5

Answers

The answer 17 and I agree with her or him

Plz Help fast WILL MARK BRAINLIEST

Answers

I hope this help a=

A 100-square grid has 70 shaded squares. Explain how you could express this model as a fraction, percent, and decimal

Answers

Answer:

the answer would be 70/100 in fraction form, 70% in percent, and (i believe) 0.7 min decimal form. Hope this helps!

Answer:

70 out of 100 is the ratio  70 Over 100 apostrophe  , so it represents 70%.  70 Over 100  can be reduced by dividing the numerator and the denominator by 10 to get the reduced fraction 7 Over 10. Dividing 7 by 10 results in the decimal equivalent 0.70.

Step-by-step explanation:

2. Danny goes to McDonald's with her friends. They buy 3 Big
Macs, 2 Chicken Sandwiches, 5 French Fries and 4 Cokes.
McDonald's also charges 8.25% sales tax. How much will Danny
and his friends pay for the meal, including taxes. If Danny pays
the cashier $100, how much change will he get back?

Answers

25 I don’t really know

A Super Happy Fun Ball is dropped from a height of 4 feet and rebounds 4 5 of the distance from which it fell. How many times will it bounce before its rebound is less than 1 foot

Answers

Answer:

More than 6.21 times

Step-by-step explanation:

The common ratio [tex]r=\dfrac{4}{5}[/tex]

Distance of first bounce

[tex]a_1=4\times \dfrac{4}{5}=\dfrac{16}{5}[/tex]

Second bounce

[tex]a_2=ar^{n-1}=\dfrac{16}{5}(\dfrac{4}{5})^{2-1}\\\Rightarrow a_2=\dfrac{16}{5}(\dfrac{4}{5})[/tex]

n bounce

[tex]a_n=ar^{n-1}\\\Rightarrow a_n=\dfrac{16}{5}(\dfrac{4}{5})^{n-1}[/tex]

Now the nth bounce will be less than 1 feet

[tex]\dfrac{16}{5}(\dfrac{4}{5})^{n-1}<1\\\Rightarrow (\dfrac{4}{5})^{n-1}<\dfrac{5}{16}[/tex]

Applying logarithms on both sides we get

[tex](n-1)\ln \dfrac{4}{5}<\ln\dfrac{5}{16}\\\Rightarrow n>\dfrac{\ln\dfrac{5}{16}}{\ln \dfrac{4}{5}}+1[/tex]

The inequality changes as both [tex]\ln\dfrac{5}{16}[/tex] and [tex]\ln \dfrac{4}{5}[/tex] are negative numbers.

So,

[tex]n>6.21[/tex]

Hence, the number of bounces is more than 6.21 times.

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