Which function is represented by the graph?

f(x) = −2|x| + 1
f(x) = -1/2|x| + 1
f(x) = -2|x + 1|
f(x) = -1/2|x + 1|

9514 1404 393

Answer:

  -16∛2

Step-by-step explanation:

It can be helpful to have some familiarity with the cubes of small integers. For example, ...

  2³ = 8

  6³ = 216

With this in mind you recognize the expression as ...

  3∛((-6)³(2)) +∛((2³)(2))

  = 3(-6)∛2 +2∛2

  = (-18 +2)∛2

  = -16∛2

Answer: The sum of the cubes of the roots of a quadratic equation with coefficients a, b, and c can be found using the formula:

x³ + y³ = (x + y)(x² - xy + y²) = -b

Where x and y are the roots of the equation ax² + bx + c = 0.

In this case, the equation is 2x² - 10x + 12 = 0, so a = 2, b = -10, and c = 12.

So, the sum of the cubes of the roots is:

x³ + y³ = -b = -(-10) = 10

Therefore, the sum of the cubes of the roots of the equation 2x² - 10x + 12 = 0 is 10.

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

11 is a prime number, meaning that its only factors are 1 and itself.

Answer:

c

Step-by-step explanation:

 9        10      11        12  

1,9       1,10    1,11     1,12

3,3      2,5               2,6

                              3,4

The number of runs per inning that Kim's team could have scored to win the game would be greater than 11/8.

Let's suppose that in the final four innings, Kim's squad scored "p" runs on average. In that case, Kim's side would have scored a total of:

(Number of innings) x (Total runs scored by Kim's side) (Number of runs per inning)

Kim's squad scored 6 runs in the first 4 innings, so there were a total of the following runs scored by her team:

Six runs were scored by Kim's squad in the first four innings.

The total number of innings in the game would be 8, as there were still 4 innings to play. As a result, Kim's squad scored a total of runs during the entire game, which is:

Eight innings times the number of runs per inning is eight runs for Kim's team overall.

Kim's team ended up winning the game with the most runs. The total runs scored by her team must therefore be higher than the total runs scored by the opposing team. The opposing team scored 17 runs in the first four innings and none more in the following four. The total runs scored by the opposition would therefore be as follows:

The other team scored a total of 17 runs.

Combining everything, we may represent the inequality as follows:

Total runs scored by Kim's team surpasses all other teams' total runs.

8p + 6 > 17

When we reduce the inequality, we obtain:

8p > 11

When we multiply both sides by 8, we get:

p > 11/8

In order to win the game, Kim's squad would have needed to score more runs per inning than 11/8.

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Answer:

6+4p>17

Kim's team scored a minimum of

3 runs per inning.

Step-by-step explanation: Khan Academy

The product of \((6x^2 - 8)(9x^2 - x + 1) is 54x^4 - 6x^3 - 66x^2 + 8x - 8.\)

To find the product of \((6x^2 - 8)(9x^2 - x + 1)\), we can use the distributive property and multiply each term of the first expression by each term of the second expression.

First, let's distribute the first term of the first expression\((6x^2)\)to all terms of the second expression:

\((6x^2)(9x^2 - x + 1) = 54x^4 - 6x^3 + 6x^2\)

Next, let's distribute the second term of the first expression (-8) to all terms of the second expression:

\((-8)(9x^2 - x + 1) = -72x^2 + 8x - 8\)

Now, we can combine like terms:

\(54x^4 - 6x^3 + 6x^2 - 72x^2 + 8x - 8\)

Simplifying further, we have:

\(54x^4 - 6x^3 - 66x^2 + 8x - 8\)

The product of \((6x^2 - 8)(9x^2 - x + 1) is 54x^4 - 6x^3 - 66x^2 + 8x - 8.\)

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I need to deposit $1558.41 to have $2000 in the account in 5 years.

What is compound interest?

The interest charged on a debt or deposit is known as compound interest. It is the idea that we use the most regularly. Compound interest is calculated for a sum based on both the principal and cumulative interest.

    ∴ Compound interest = P(1 + \(\frac{r}{100*12}\))ⁿ  (∵ for monthly interest)

        P = Principal

        r = rate of interest per month

        n = number of months

Given:

r = 5% per month

n = 5 years = 5*12 = 60 months

  CI = P (1+5/(12 * 100))⁶⁰

2000 = P(1.0041)⁶⁰

2000 = P(1.2834)

      P = 1558.41

Therefore, the amount required to deposit is 1558.41 dollars to get 2000 dollars after 5 years with 5 percent interest per month.

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Answer:

3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33

Step-by-step explanation:

All of these work. I hope this helps! Pls give brainliest!

Answer:

Your answer would be  

x/3<12

Answer: 8 flips

Step-by-step explanation:

Answer:

1080 seconds

Step-by-step explanation:

We need to multiply the 0.3 hours by 3600 to convert it to seconds.

0.3*3600=1080

Answer:

1200 sec

Step-by-step explanation:

.30 hours is equal to 20 minutes

60 sec in 1 min

60x20

6x2=12

1200

Answer:

Intersections of Linear Equations. The intersection of a line are the points where the line intersects, or crosses, the horizontal and vertical axes. The line shown on the graph intersects the two coordinate axes. The point where the line crosses the x-axis is called [x-intercept].

Step-by-step explanation:

The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

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Answer:

26

Step-by-step explanation:

this is it I did 100 calculations per second and found it

Answer:

Step by step below

Step-by-step explanation:

0 000 007

0 004  007

0 204 007

0 204  047

0 204  647

0 224 647

4 224 647

Answer:

A. Emperor is the main character

Step-by-step explanation:

I've read it before

there should be a cross multiplication

3(8x)=2

expanding bracket

24x=2

multiple both sides by 24

x=1/12

Answer:

x = 15

Step-by-step explanation:

(10x + 4) and (9x + 19) are corresponding angles and are congruent, so

10x + 4 = 9x + 19 ( subtract 9x from both sides )

x + 4 = 19 ( subtract 4 from both sides )

x = 15

Answer:

The approximate percentage of cars that remain in service between 36 and 39 months is of 2.35%.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 45 months, standard deviation of 3 months.

What is the approximate percentage of cars that remain in service between 36 and 39 months?

36 = 45 - 3(3)

39 = 45 - 2(3)

So within 2 and 3 standard deviations below the mean.

99.7 - 95 = 4.7% of the measures are between 2 and 3 standard deviations of the mean, however, this is two-tailed, considering both above and below the mean.

In this case, both 36 and 39 are below the mean, and due to the symmetry of the normal distribution, this percentage is divided by half, so 4.7/2 = 2.35.

The approximate percentage of cars that remain in service between 36 and 39 months is of 2.35%.

Answer:

B 4.4

Step-by-step explanation:

There is 1 gallon in 3.7 liters so you would divide 16.5 by 3.7

The tank has a capacity of 58.90 liters of gas.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculations.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

Given that the gas tank in Sharon’s car can hold up to 16.5 gal of gas

Since one  gallon is 4 quarts

Volume in quarts as:

16.5 gallons = 16.5 x 4 quarts = 66 quarts

So quarts = 0.946

66 quarts = 0.946 x 66 = 62.436

So Volume = 62.436q

Volume in liters as:

Given as one litre = 1.06qt

If one liter is 1.06, Then 62.436 will be = 62.436/1.06 = 58.90

The volume in liters of 58.90

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The total number of students calculated with the method called simplification and who are playing volleyball is 206.

How simplification method work?

In mathematics, the simplification method is used for the equation formation for the problem statements. And it also convert the complicated expression into simpler one to make the calculation easy.

According to the question, the given survey data for the playing volleyball is written below and it is solved by the simplification method:

survey of students: 36

play volleyball: 17

As per question, the simplification expression for the given statement which state that, if the survey of 648 students how many students play volleyball?

Therefore, the required simplified expression can be written as:

Required expression: 648÷36= 18

Now, playing volleyball =18×17=206 students play volleyball

Hence, the total number of students calculated with the method called simplification who are playing volleyball is 206.

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Peter is 1.68 meters tall.

What is height?

Height is a measure of the distance between the base and the top of an object, or the distance between the bottom and the top of a vertical structure. It is often used to describe the vertical dimension of an object or structure, such as the height of a building, the height of a person, or the height of a mountain. In mathematics, height can also refer to the vertical distance between two points on a coordinate plane or the vertical dimension of a three-dimensional shape. The height of a triangle, for example, is the perpendicular distance from the base to the highest point of the triangle.

Peter's height is Thandi's height plus the additional 0.45 m. Therefore:

Peter's height = Thandi's height + 0.45 m

Peter's height = 1.23 m + 0.45 m

Peter's height = 1.68 m

Therefore, Peter is 1.68 meters tall.

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The value of x from the venn diagram if P(T | V) = 1/5 is 16

From the question, we have the following parameters that can be used in our computation:

The venn diagram

From the venn diagram, we have the following probability values

P(T | V) = (x - 4)/(3x + x - 4)

Evaluate the like terms

So, we have

P(T | V) = (x - 4)/(4x - 4)

From the question, we have

P(T | V) = 1/5

This means that

(x - 4)/(4x - 4) = 1/5

When evaluated, we have

x = 16

Hence, the value of x is 16

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Answer:

9/100

Step-by-step explanation:

When we change .09 to a fraction, we can put the 9 over 100 because the 9 is in the hundredths place. We get 9/100. We can’t simplify it so it stays like that.

I hope this helped and please mark me as brainliest!

Answer:

Are there any choices?..

The correct statement the describes the equation is The lines intersect at (1, 0) and the lines are parallel.

x - y = 1.............equation 1

y - x = 1.............equation 2

Add equations (1) and (2):

(x - y) + (y - x) = 1 + 1

Simplifying

0 = 2

Since 0 = 2, the system is inconsistent, meaning there is no solution. The lines represented by the equations are parallel and will never intersect.

The system of equations has no solution, as the lines represented by the equations are parallel and will never intersect.

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The complete question is- Which statement describes the graph of the system of equations?

[x-y=1

Ly- X= 1

The lines are parallel.

The lines are coinciding.

The lines intersect at(1, 0).

The lines intersect at (-1,0).

Answer:

Step-by-step explanation:area= s*s

so~ the side will be 9 as 9*9=81

n the perimeter = 4*9= 36

The length is 9 cm

The perimeter is 36 cm.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment.

Answer:

Part A: C, Part B: A, E, i, K  160 cm, A: 21, Use PEMDAS and you get 13 5/7.

Step-by-step explanation:

1.6 x 100 meters = 160 centimeters

3 x 7/1 = 21/1 = 21

Answer:

Part A: C, Part B: A, E, i, K  160 cm, A: 21, Use PEMDAS and you get 13 5/7.

Step-by-step explanation:

1.6 x 100 meters = 160 centimeters

3 x 7/1 = 21/1 = 21

The width of the car is equal to 13.333 feet.

Scales are useful resources to represent figures in affordable dimensions. This problem involves the width of a car. Mathematically speaking, scales are defined by the following equation:

r = l' / l        

Where:

If we know that r = 3 / 4 in / ft and l' = 10 in, then the real width of the car is:

l = l' / r

l = 10 in / (3 / 4 in / ft)

l = 13.333 ft

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The mixed fraction and fraction expression  1 ⁵/₆ - 3/4 in the simplest form will be 13/12.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 1 ⁵/₆ - 3/4

Convert the mixed fraction number into a fraction number. Then we have

⇒ 1 ⁵/₆ - 3/4

⇒ 11/6 - 3/4

⇒ (22 - 9) / 12

⇒ 13 / 12

The mixed fraction and fraction expression  1 ⁵/₆ - 3/4 in the simplest form will be 13/12.

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Answer:

d-3

Explanation:

Given the expression:

First, we rearrange the terms by bringing all terms containing the variable "d" together.

We then simplify to obtain: