7x + 3x + x⁴ divided by x-2 using long division​

Answer:

x = - 12

Step-by-step explanation:

- [tex]\frac{5}{6}[/tex] x - (x - 1) = [tex]\frac{1}{4}[/tex] (- x + 80) distribute parenthesis on left side by - 1

- [tex]\frac{5}{6}[/tex] x - x + 1 = [tex]\frac{1}{4}[/tex] (- x + 80)

multiply through by 12 ( the LCM of 4 and 6 ) to clear the fractions

- 10x - 12x + 12 = 3(- x + 80) ← distribute parenthesis by 3

- 22x + 12 = - 3x + 240 ( add 3x to both sides )

- 19x + 12 = 240 ( subtract 12 from both sides )

- 19x = 228 ( divide both sides by - 19 )

x = - 12

Answer:

x^2 +3x -10

Step-by-step explanation:

(x+5)(x-2)

x^2 +5x -2x -10

x^2 +3x -10

Based on the information above, it can be inferred that the diver is at a depth of 36 ft below water level.

To calculate the final elevation of the diver we must take into account the depth at which he was at the beginning and the changes he made in his position.

To calculate his current position we must subtract the number of feet he ascended from the number of feet he was at at the beginning:

Based on the above, it can be inferred that when the diver ascended to see a school of fish, he was 36 ft below the surface of the water.

Note: This question is incomplete because there is some information missing. Here is the complete information:

A scuba diver is swimming at an elevation of 52 feet below sea level. She sees a school of fish and rises 16 feet to watch the fish. What is her elevation now? A fish swims 27 feet below.

Learn more about water depth in: https://brainly.com/question/14927898

#SPJ1

Answer: $382.50

Step-by-step explanation:

8.50 x 45 = 382.50

Answer:

Step 1:

Start by setting it up with the divisor 8 on the left side and the dividend 424 on the right side like this:

   8 ⟌ 4 2 4

Step 2:

The divisor (8) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:

       0    

   8 ⟌ 4 2 4

Step 3:

Multiply the divisor by the result in the previous step (8 x 0 = 0) and write that answer below the dividend.

       0    

   8 ⟌ 4 2 4

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.

       0    

   8 ⟌ 4 2 4

     - 0    

       4    

Step 5:

Move down the 2nd digit of the dividend (2) like this:

       0    

   8 ⟌ 4 2 4

     - 0    

       4 2  

Step 6:

The divisor (8) goes into the bottom number (42), 5 time(s). Therefore, put 5 on top:

       0 5  

   8 ⟌ 4 2 4

     - 0    

       4 2  

Step 7:

Multiply the divisor by the result in the previous step (8 x 5 = 40) and write that answer at the bottom:

       0 5  

   8 ⟌ 4 2 4

     - 0    

       4 2  

       4 0  

Step 8:

Subtract the result in the previous step from the number written above it. (42 - 40 = 2) and write the answer at the bottom.

       0 5  

   8 ⟌ 4 2 4

     - 0    

       4 2  

     - 4 0  

         2  

Step 9:

Move down the last digit of the dividend (4) like this:

       0 5  

   8 ⟌ 4 2 4

     - 0    

       4 2  

     - 4 0  

         2 4

Step 10:

The divisor (8) goes into the bottom number (24), 3 time(s). Therefore put 3 on top:

       0 5 3

   8 ⟌ 4 2 4

     - 0    

       4 2  

     - 4 0  

         2 4

Step 11:

Multiply the divisor by the result in the previous step (8 x 3 = 24) and write the answer at the bottom:

       0 5 3

   8 ⟌ 4 2 4

     - 0    

       4 2  

     - 4 0  

         2 4

         2 4

Step 12:

Subtract the result in the previous step from the number written above it. (24 - 24 = 0) and write the answer at the bottom.

       0 5 3

   8 ⟌ 4 2 4

     - 0    

       4 2  

     - 4 0  

         2 4

     -   2 4

           0

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 424 divided by 8 calculated using Long Division is:

53

0 Remainder

Step-by-step explanation:

Answer:

(1,-1/2)

Step-by-step explanation:

Add both x values and divide by 2

Add both y values and divide by 2

( -5+7 )/2 = 1

(4 - 5)/2 = -1/2

(1,-1/2)

Assets of respondents in a survey is a quantitative data and the level of measurement is a ratio scale.

Qualitative properties are properties that are observed and can generally not be measured with a numerical result.

Examples of quantitative data include, number of students in a class, weight of students in a class, etc.

Quantitative data is the value of data in the form of counts or numbers where each data set has a unique numerical value. This data is any quantifiable information that researchers can use for mathematical calculations and statistical analysis to make real-life decisions based on these mathematical derivations.

Examples of qualitative data include hair color, religion, nationality, etc.

Thus, assets of respondents in a survey is a quantitative data and the level of measurement is a ratio scale.

To learn more about quantitative data :

brainly.com/question/96076

#SPJ4

Answer:

The variable is x and the constant is 6.  The coefficient of the variable is 3.

Step-by-step explanation:

Answer:

the question should have something in between 6 and x

The part of the drawing that shows information about scale, the date of the last revision, and the drawing number is the balloon framing.

Where is a drawing's scale often indicated?

What does balloon framing mean?

In contrast to platform framing, where each floor is framed independently, balloon framing uses studs (vertical members) that stretch the entire height of the building (often two storeys) from the foundation plate to the rafter plate.

Learn more about balloon framing

brainly.com/question/17250132

#SPJ4

The approximate standard deviation of the sampling distribution of the proportion is 3.8%.

A standard deviation (or) is a measure of how widely distributed the data is in reference to the mean.

A low standard deviation indicates that data is clustered around the mean, whereas a high standard deviation implies that data is more spread out.

Now, as per the questions;

Whenever the population size is so very large, the PQ/N factor approaches zero, and the standard deviation equation becomes:

σp = √( PQ/n)

We don't know how so many listeners this same radio station has in this case, but we can assume it's a large number.

P = probability of listening at work, is 14% or 0.14

Q = probability of not listening at work, is (100- 14)% = 86% = 0.86

N = sample size, is 85

The sample standard deviation is then

σp = √(14×.86/85)

σp = 0.0376

σp = 3.8% (approximately)

Therefore, the approximate vale of the standard deviation is found to be 3.8 %.

To know more about the standard deviation, here

https://brainly.com/question/12402189

#SPJ4

The correct question is-

If 14% of the listeners of a radio station listen to it while they are at work, what is the approximate standard deviation of the sampling distribution of the proportion for samples of size 85?

Answer: -21

Step-by-step explanation: hope you have a good day

−7−14=−7+−14=−21

Answer: x=5

Step-by-step explanation:

|x + 2| = 7

|5 + 2| = 7

|7| = 7

|7| = 7

Answer:

A = .05 and B = .08 so A is the better buy

Step-by-step explanation:

In each case, divide total cost by number of units to get unit cost.

The real rate of interest is 8 percent.

In finance and economics, the nominal interest rate or nominal rate of interest is either of two distinct things: the rate of interest before adjustment for inflation; or, for interest rates "as stated" without adjustment for the full effect of compounding.

Given:

nominal rate of interest= 2%

expected inflation rate = 10 %

We know,

nominal rate = real interest rate + inflation rate

and, real interest rate= nominal rate - inflation rate

then,

real rate interest = 2-10

real rate interest = -8%

Hence, the inflation rate is greater than the nominal interest rate as it is -8%

Learn more about inflation rate here:

https://brainly.com/question/28120575

#SPJ4

Answer:

-9.42

Step-by-step explanation:

Answer:16

Step-by-step explanation:

subtract the old number by the new number

197-181=16

Answer:

$4,316

Step-by-step explanation:

Semester one: $166 per credit times 13 hours = $2,158

Semester two: $166 per credit times 13 hours = $2,158

Cost for semester one plus semester two = $4,316

Answer:

probly   79.5

Step-by-step explanation:

i d k

Answer:

19. B

20. G

Step-by-step explanation:

19. De pendant Variable is the variable that changes relative to some other variable. In other words its dependent on some other variable and its value changes with that other variable (the independent variable)

In this case the daily cost of the rental car is dependent on the miles driven.

20. The pair will be on the graph if it satisfies the given equation. In other words if i plug in a given x or y, i should get the same x or y.

In this case, for F, if i plug in x=1, the equation gives me y=12 which is not the value of the ordered pair. It is the value of G, thus G is on the graph

Answer:

- 4+23e

Step-by-step explanation:

Answer: 9002.146

Step-by-step explanation:

(9x1000) +2+ (1x0.1)+ (4x0.01) +(6x0.001)=

(9000)+2+(0.1)+(0.04)+(0.006)=

9002+0.1+0.04+0.006=9002.146

Answer: x=6  y=6

Step-by-step explanation:

[tex]\displaystyle\\\left \{ {{4x-3y=6} \atop {6x-5y=6}} \right.\\[/tex]

Since the right parts of the equation are equal, therefore the left parts of the equation are also equal:

[tex]4x-3y=6x-5y\\4x-3y+5y=6x-5y+5y\\4x+2y=6x\\4x+2y-4x=6x-4x\\2y=2x\\[/tex]

Divide both parts of the equation by 2:

[tex]y=x\\Hence,\\4x-3x=6\\x=6\\Thus,\\x=y=6[/tex]

The perimeter of the rectangle can be expressed as 10t - 26u centimeters.

Perimeter is the total length of the outer boundary of a two-dimensional shape or a three-dimensional space. It is a measure of the length around the outside of an object or a space and is usually expressed in linear units, such as millimeters, centimeters, meters, or kilometers.

The perimeter of a rectangle is the sum of the lengths of all four sides. Since the width and length of the rectangle are given as (t - 9u) centimeters and (4t - 4u) centimeters, respectively, the perimeter of the rectangle can be expressed as:
Perimeter = 2(t - 9u) + 2(4t - 4u)
Perimeter = 2t - 18u + 8t - 8u
Perimeter = 10t - 26u centimeters

To learn more about perimeter
https://brainly.com/question/19819849
#SPJ1

The percentage accuracy he had with predicting his scores is 90%.

Here,

Given that;

Henry predicted whether he got answers right or wrong in his 50 question exam. That is,

In total, there are 50 questions.

Of the ones he got right, he identified 30 right.

Of the ones he got wrong, he identified 15 correctly.

We have to find;  the percentage accuracy he had with predicting his scores.

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100.

Now,

The percentage of a relative to b is given by:

In total, there are 50 questions.

Of the ones he got right, he identified 30 right.

Of the ones he got wrong, he identified 15 correctly.

Hence, since he identified 45 out of 50 correctly:

[tex]P = \frac{x}{y} *100[/tex]

[tex]P = \frac{45}{50} *100[/tex]

[tex]P = 90[/tex]

So,

The percentage accuracy he had with predicting his scores is 90%.

Learn more about the percentage visit:

brainly.com/question/10491646

#SPJ4

One year on Venus is 225 days on Earth.

Multiply that by 9 1/2.
The answer you get is 2137.5

9 1/2 years on Venus years is equivalent to 2137.5 days on Earth.

There are  9 1/2 years on Venus years is equivalent to 2137.5 days on Earth, the answer would be 2137.5 days.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

Equivalent to 9 1/2 years on venus.

Let the number of days on earth is x:

One year on Venus is 225 days on Earth.

= (225)(9 1/2)

= (225x19)/2

= 2137.5 days

Thus, there are  9 1/2 years on Venus years is equivalent to 2137.5 days on Earth, the answer would be 2137.5 days.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

A point is the solution of the inequality expression given as: -2x + 3y > 1 - 5x + 6y is (0, -2/3)

The inequality expression is given as:

-2x + 3y > 1 - 5x + 6y

Collect the like terms in the above expression

So, we have:

3y - 6y > 1 + 2x - 5x

Evaluate the like terms in the above expression

So, we have:

-3y > 1 - 3x

Divide both sides by -3

y < -1/3 + x

Let x = 0

So, we have

y < -1/3

This means that a point in the solution is

(x, y) = (0, < -1/3)

-2/3 < -1/3

So, we have

(x, y) = (0, -2/3)

Hence, a point is the solution of the inequality expression given as: -2x + 3y > 1 - 5x + 6y is (0, -2/3)

Read more about inequality at:

https://brainly.com/question/24372553

#SPJ1

Answer:

An infinite sequence is a list or string of discrete objects, usually numbers, that can be paired off one-to-one with the set of positive integer s {1, 2, 3, ...}. Examples of infinite sequences are N = (0, 1, 2, 3, ...) and S = (1, 1/2, 1/4, 1/8, ..., 1/2 n , ...)

Answerham=136

Step-by-step explanation:

ham=x,,cheese=3x....=544...4x=544  which makes  x to be 136 which is the no of hamburgers