Write an absolute value inequality for the graph below.
Use x for your variable.

The reminder by dividing f(x)= x⁴ + 7x³ + 17x² + 20x is divided by x² + 4 is x² + 7x + (-13x² - 8x)/(x² + 4) so none of the given option is correct.

The number system is a way to represent or express numbers.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Given the dividend f(x)= x⁴ + 7x³ + 17x² + 20x and diviser x² + 4

The first time it will go to x²

Then,

Quotient = x²

Remainder = 7x³ - 13x²

The second time goes to 7x

Quotient = 7x

Remainder = -13x² - 28x

The third time it is not divisible so  (-13x² - 8x)/(x² + 4) will be the reminder.

Together it is  x² + 7x + (-13x² - 8x)/(x² + 4).

Hence "The reminder by dividing f(x)= x⁴ + 7x³ + 17x² + 20x is divided by x² + 4 is x² + 7x + (-13x² - 8x)/(x² + 4)".

For more about the number system,

https://brainly.com/question/22046046

#SPJ1

Answer:

I am more on the sure side it's 8

Step-by-step explanation:

And if it isn't im so so sorry

Answer:

3/9  3/8  3/7

Step-by-step explanation:

The higher the denominator, the higher number of times  a number will be divided which means, the number will become smaller.

Answer:

B

Step-by-step explanation:

The y coordinate tells us when we are going up for down.  So the rule would be (x, y + 5)  So, the x coordinate stays the same and the y goes up 5.

(1,2)  The 2 is the y coordinate. It will increase by 5 and become (1,7)

(3,2)  The 2 is the y coordinate.  It will increase by 5 and become (3,7)

(3,4)  The 4 is the y coordinate.  It will increase by 5 and become (3,9)

(1,4) The 4 is the y coordinate.  It will increase by 5 and become (1,9)

The assumption that the population variances are not equal and that the two populations are normally distributed is −35.713332; 0.313332.

To assume that the population variances are not equal and that the two populations are normally distributed:

Given:

So, df = n1 + n2 - 2; 11 + 18 - 2 = 27.

T critical = T0.01, 27 = 2.473

Let,

Then,

Now,

Therefore, the assumption that the population variances are not equal and that the two populations are normally distributed is −35.713332; 0.313332.

Know more about random samples here:

https://brainly.com/question/24466382

#SPJ4

Answer:

-63, -90, -1924. -|63|, etc

Step-by-step explanation:

The probability that the sum of the two rolls equals 5 is 1/16.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favorable outcomes / Number of sample

Given a single die with 8 sides (numbered 1, 2, 3, ..., 8) is rolled twice, the total outcome will be:

Total outcome = 8^2

Total outcome = 64

For the sum of two rolls, the expected outcome will be:

E = {(1, 4), (4, 1), (3, 2), (2, 3)}

n(E) = 4

Pr(sum of the two rolls is 5) = 4/64

Pr(sum of the two rolls is 5) = 1/16

Hence the probability that the sum of the two rolls equals 5 is 1/16

Learn more on probability here;

brainly.com/question/24756209

#SPJ4

Answer: 1 and 26

Step-by-step explanation:

The flipped shape has a pair of parallel line

A pair of line is said to be parallel lines when the lines tend to maintain equal distance apart and never intersect at any point. such lines has peculiar properties and are useful in mathematics.

Since a pair of parallel line do not intersect their is not angle between them.

Flipping a shape will change the position of the flipped shape to a new one. This activity does not add to the size of a shape or to the property of the shape.

Margot flipping a pair of parallel lines will not add or reduce the number of the parallel lines. It however creates point of intersection between the parallel line and horizontal line crossing the parallel line.

Read more on parallel line here: https://brainly.com/question/13763238

#SPJ1

The length between the two points is 9.2 units.

Given points are:

Q(1,₋5)

P(₋5,2)

Let the two points be denoted as

Q(1,₋5) as (x₁,y₁)

P(₋5,2) as (x₂,y₂)

Distance between two points is calculated as:

d = √(x₂ ₋ x₁)² ₊ (y₂ ₋ y₁)²

d = √(₋5 ₋ 1)² ₊ (2 ₋ (₋5))²

d =  √(₋6)² ₊ (7)²

d =  √36 ₊ 49

d =  √85

d = 9.2

Hence the length of QN is 9.2 units.

Learn more about Coordinate geometry here:

brainly.com/question/1528681

#SPJ9

In proportion , 13 ft is the actual length of a room.

What in mathematics is a proportion?

A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)

0.25 inches       8.5 inches

----------------   = --------------

 5 ft                   x ft

Using cross products

0.25x = 8.5 * 5

Divide each side by 0.25

0.25x/0.25 =  8.5  * 5/0.25

x = 13

x = 13 ft

Learn more about proportion

brainly.com/question/11873016

#SPJ9

Answer:

x = 18

Step-by-step explanation:

Vertical angles are congruent.

4x + 3 = 75  Subtract 3 from both sides of the equation

4x = 72  Divide both sides by 4

x = 18

Answer:

11.2 or 11 1/5

Step-by-step explanation:

multiply it ez

Answer: Use a=wl, 13.3

Step-by-step explanation:

a=wl

4.75*2.8=13.

The only set of elements that satisfied the equation 2x-1= -13 is {-6}.

A set is a combination of specific quantities in which the meaning of each variable must be the same.

For example {1,2,3,4,5,6...} is a set of natural numbers in which each variable is representing a natural number so the overall meaning is the same among all.

Another example could be a set of whole numbers like that.

Given the equation,

2x-1= -13

By taking -1 right-hand side

2x = -13 + 1 = -12

By dividing 2

x = -6

Hence "The only set of elements that satisfied the equation 2x-1= -13 is {-6}".

To learn more about the sets,

brainly.com/question/8053622

#SPJ4

The amount of Lemon's commission is $4.7

According to the question we have been given that

     Commission earned by Lemon = 3.2%

     Selling price of drone which is sold by Lemon  = $146.97

We need to find the amount of commission she earned by selling the drone.

The formula to be used to find the amount of commission is

                =  percentage of commission * selling price

putting the required value we get

               = 3.2% of $146.97

here 'of' is denoted as multiplication

thus,        =0.032 * 146.97

               = $4.7

Hence the amount of Lemon's commission is $4.7

Learn more about commission here : https://brainly.com/question/24951536

#SPJ9

Answer:

$2.61

Step-by-step explanation:

So, We have $5.22 for 6 pounds of Bananas.

If we need to find the cost for 3 pounds, we would divide $5.22 by 2 because 6/2=3

In order to do this, we need to turn 5.22 into a whole number, so we multiply by 100

5.22*100=522

Now we divide

522/2 = 261

Now we divide 261 by 100, since we multiplied by 100 earlier.

261/100 =2.61

So our answer is $2.61 for 3 pounds of bananas .

Hope this helps! ^^

Answer:$2.61 for 3 pounds  

Thank for the  brainliest

Step-by-step explanation:first you divided $5.22/6  because the money always goes on the top and you get 0.87, you multiply 0.87 by 3 which is $2.61

Answer:

your answer is $2.55

The test statistic value calculated by the statistical procedure selected is known as the T-test.

The mean difference between two sets of observations is zero using the T-test, also known as the dependent sample t-test. When the population standard deviation is unknown, the student's t-test is a statistical tool for assessing assumptions about the mean of a small sample taken from a normally distributed population.

Probability theory, linear algebra, and differential and integral calculus play major roles in the mathematical theories underlying statistics.

Therefore, the test statistic value calculated by the statistical procedure selected is known as the T-test.

To know more about the T-test follow

https://brainly.com/question/6589776

#SPJ4

The minimum and maximum allowed baseball masses are 143 grams and 147 grams

The given parameters are

Mass = 145 grams

Vary = 2 grams

This means that the allowed baseball masses are

Allowed baseball masses = Mass  ± Vary

This gives

Allowed baseball masses = (145 - 2, 145 + 2) grams

Evaluate

Allowed baseball masses = 143 grams, 147 grams

Hence, the minimum and maximum allowed baseball masses are 143 grams and 147 grams

Read more about minimum and maximum at

https://brainly.com/question/28817420

#SPJ1

The measure of angle is 52, 128 and 132

A  figure which is formed by two rays or lines that shares a common endpoint is called an angle.

Given:

one angle = 52

So,

<2 = 52 (vertically opposite angle)

<1 + <2 = 180 ( linear pair)

<1 + 52 = 180

<1  = 128

and, <1 = < 3 ( vertically opposite angle)

<3 = 132

Learn more about angles here:

https://brainly.com/question/15277238

#SPJ1

Answer:

26%

Step-by-step explanation:

Number of seats by 6th graders / Number of seats in total × 100% = Percentage of seats by 6th graders

442/1700 × 100% = 26%

Hope this helps! ^^

The monthly payment will be $1454.06048

You can calculate the Car Loan EMI Amount with the help of the mathematical formula: EMI Amount = [P x R x (1+R)^N]/[(1+R)^N-1] , where P, R, and N are the variables. This also means that the EMI value will change, each time you change any of the three variables. Let’s discuss these three variables in detail.

‘P’ stands for the Principal Amount. It is the original loan amount given to you by the bank on which the interest will be calculated.

‘R’ stands for the Rate of Interest set by the bank.

N is the number of years given for the repayment of the loan. As you must pay the EMIs each month, the duration is calculated in the number of months.

Here , P=$50000,R=3/12/100=0.0025,N=36 Months.

EMI=[50000 x 0.0025 x (1+0.0025)^36]/[(1+0.0025)^36-1]

= $1454.06048

To know more about "Principal amount"

Refer this link:

https://brainly.com/question/25720319

#SPJ4

The 80th percentile is 125.37.

It is required to find the solution.

A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.

Given:

The weights (in pounds) of seven people:

100, 115, 135, 140, 180, 197, 230.

We have to find the 80th percentile first we have to find the mean of seven people.

Mean=100+ 115+135+140+ 180+197+ 230/7

Mean=156.71

100 percent=156.71

80  percent=156.71*80/100

80  percent=125.37.

Therefore, the 80th percentile is 125.37.

Learn more about percentage here

https://brainly.com/question/28269290

#SPJ4

The new coordinates are A'(-21, 7), B'(0, -28), C'(14, 28).

Dilating the given triangle by the scale factor means multiplying each coordinate by the given scale factor.

Given coordinates are A(-3, 1), B(2, 4), and C(0, -4).

The scale factor k = 7.

Let, the new coordinate obtained by dilating A with scale factor k be A'.

Then x-coordinate of A' = k × x-coordinate of A

⇒ x-coordinate of A' = 7 × (-3)

⇒ x-coordinate of A' = -21

And y-coordinate of A' = k × y-coordinate of A

⇒ y-coordinate of A' = 7 × 1

⇒ y-coordinate of A' = 7

So, A' → (-21, 7)

Let, the new coordinate obtained by dilating B with scale factor k be B'.

Then x-coordinate of B' = k × x-coordinate of B

⇒ x-coordinate of B' = 7 × 2

⇒ x-coordinate of B' = 14

And y-coordinate of B' = k × y-coordinate of B

⇒ y-coordinate of B' = 7 × 4

⇒ y-coordinate of B' = 28

So, B' → (14, 28)

Let, the new coordinate obtained by dilating C with scale factor k be C'.

Then x-coordinate of C' = k × x-coordinate of C

⇒ x-coordinate of C' = 7 × 0

⇒ x-coordinate of C' = 0

And y-coordinate of C' = k × y-coordinate of C

⇒ y-coordinate of C' = 7 × -4

⇒ y-coordinate of C' = -28

So, C' → (0, -28)

Refer to the image attached for the new triangle formed.

Therefore, the new coordinates are A'(-21, 7), B'(0, -28), C'(14, 28).

Learn more at:

https://brainly.com/question/24873454

#SPJ9