Rewrite in standard form |x|-4=0

Answer:

The simplest form is [tex]\frac{x+2}{x^2+2}[/tex]

Explanation:

The given is: [tex]\frac{x^2 + x-2}{x^3-x^2+2x+2}[/tex]

1- For the numerator:

[tex]x^2+x-2[/tex] can be factorized to give (x-1)(x+2)

2- For the denominator:

[tex]x^3-x^2+2x-2[/tex]

We will factor this using grouping

Take [tex]x^2[/tex] as a common factor from the first two terms and [tex]2[/tex] as a common factor from the last two terms

This will give us:

[tex]x^3-x^2+2x-2[/tex] [tex]=x^2(x-1) + 2(x-1)[/tex]

Now, take (x-1) as a common factor:

[tex]x^3-x^2+2x-2[/tex] = (x-1)(x²+2)

3- Finally, getting the simplest form:

[tex]\frac{x^2+x-2}{x^3-x^2+2x-2}=\frac{(x-1)(x+2)}{(x-1)(x^2+2)}=\frac{x+2}{x^2+2}[/tex]

Hope this helps :)

The solution is [tex]\frac{x+2}{x^2+2}[/tex]

See the image attached

Answer:

24

Step-by-step explanation:

the school will pay: 180 × (80÷100)

                                  = 144

the remaining amount is: 180 - 144

                                           = 36

if each student is paying 1.50 then no. of students is equal to: 36÷1.5

                                                                                                           = 24

Question 1: Both are solutions.

Question 2: (4, 0)

Here ya go. This highlights the solution for you along with the work. Let me know if you have questions.

Answer:

B. She multiplied the dividend by 100 instead of 10.

Step-by-step explanation:

Ella had to divide[tex]1.848[/tex] by [tex]0.6[/tex]. To make it easier to divide, she thought of multiplying both the dividend and the divisor by 10.

Ella multiplied the divisor by 10 but mistakenly she multiplied the dividend by 100 instead of 10.

So her division problem changed totally.

Therefore, the correct answer option is B. She multiplied the dividend by 100 instead of 10.

Answer:

Top- 23 square cm

Bottom- 172.5 square m

Step-by-step explanation:

Let me know if you need an explanation

[tex]\huge\boxed{\text{$17$ miles}}[/tex]

This is a fairly simple problem. Just add all of the miles together:

[tex]\begin{array}{c}4+5+3+5\\9+8\\\boxed{17}\end{array}[/tex]

Answer:

17 miles in all.

Step-by-step explanation:

4+5+3+5=17

Answer:

Radius Squared

Step-by-step explanation:

Following answer is Pi

The area of a circle is π times the square of its radius.

A circle is a locus of a point in a plane such that its distance from a fixed point always remains constant. This fixed point is called the centre of the circle while the distance between the centre and the moving point is called the radius of the circle.

The area of a circle is given by [tex]A=\pi r^{2}[/tex]

Where [tex]\pi[/tex] is an irrational number with a value of 3.14159...... and r is the radius of the circle.

So, the area of a circle is π times the square of its radius.

Hence, the area of a circle is π times the square of its radius.

To get more about circle visit:

https://brainly.com/question/24375372

Answer:

two $20 and five $10

He has three $20 and four $10. Hope this helps!

Answer: 2 2/3 or 2.6 repeating

Step-by-step explanation:

- Reduce the numbers With the greatest common divisor 2

- Calculate product

- Calculate the difference

- YOUR FINAL ANSWER

Hope I was able to satisfy your needs

First you make the fractions have a common denominator. In this case it would be 6.

Then you have 8 3/6 - 2 4/6.

Because the number you are subtracting is greater than what you are subtracting from, you can turn the fraction into an improper fraction.

8 3/6 = 7 9/6

9/6 - 4/6 = 5/6

Then subtract the whole numbers.

7-2 = 5

Answer: 5 5/6

Answer:                      

Step-by-step explanation:                      

To find the difference between the two given numbers, we will subtract the smaller number from the greater number.                

[tex]30.1-16.35[/tex] = 13.75

So, the difference is 13.75                                  

Answer:

48 X 3= 144 miles

Step-by-step explanation:

Answer:

144 miles

Step-by-step explanation:

First, let's use the distance formula which is distance = rate*time.

We know the rate is 48 miles and the time is 3 hours so if you were to plug it in to the formula you'd get distance = 48*3.

When you multiply 48 by 3 you get 144 which will be the distance.

Answer:

6-n

Step-by-step explanation:

it is subtracting a number from 6

I hope this helps!

6-n because n is equivalent to a number

Answer:

h = - 12

Step-by-step explanation:

Isolate the term in h by adding 1 to both sides of the equation

[tex]\frac{h}{6}[/tex] = - 2 ( multiply both sides by 6 )

h = - 12

Answer:

15 cm

Step-by-step explanation:

Similar triangles are triangles which have the same shape but not the same size. This means their angle measures are equal but their side lengths are not instead they are proportional. To solve, we will set up a proportion and solve.

A proportion is two equal ratios set equal to each other. We form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). Out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

[tex]\frac{BC}{EF} =\frac{AC}{DF}[/tex].

[tex]\frac{18}{x}=\frac{12}{10}[/tex]

To solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

[tex]\frac{18}{x}=\frac{12}{10}\\ 18*10 = x*12 \\ 180 = 12x \\ 15 = x[/tex]

3097 is the value you get when rounded off to nearest whole number

➷ Just substitute 3 in:

2(3)^2 = 18

It would be 18

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

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Answer:

36

Step-by-step explanation:

2*3

6^2

6*6 = 36

Answer:

[tex]1,125\ ft^{2}[/tex]

Step-by-step explanation:

we know that

The surface area of the triangular prism that will be covered with insulation is equal to the area of the two triangular faces plus the two lateral rectangular faces

so

[tex]SA=2[\frac{1}{2}(15)(15)]+2[(30)(15)]= 1,125\ ft^{2}[/tex]

QUESTION 4.

The given function is [tex]f(x)=48x^2-32x[/tex].

The highest common factor is [tex]16x[/tex].

We factor to obtain;

[tex]f(x)=16x(3x-2)[/tex]

QUESTION 5

The given function is

[tex]g(x)=20x^2-8x[/tex]

The highest common factor is 4x.

We factor to obtain;

[tex]g(x)=4x(5x-2)[/tex]

QUESTION 6.

The given function is [tex]h(x)=42x^3-35x^2[/tex].

The highest common factor is 7x.

We factor to obtain;

[tex]h(x)=7x^2(6x-5)[/tex]

Julie would earn $12/h×16h=$192

This rate means that for each hour she works, she gets $12.

The general formula for calculating these types of problems is:

m = r × t,

where m marks the total amount of money, r marks the rate and t marks the time.

To find the time when

m = $228

r = $12/h,

t = m ÷ t = 228 ÷ 12 = 19 hours.

Julie's income for 16 hours is $192. Julie takes only 24 hours to earn $288. The rate is $12 for each hour.

A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.

Given

Loren and Julie have different part-time jobs after school.

They are both paid at a constant rate of dollars per hour.

The income of Julie is $36 in 3 hours.

For 1 hour, Julie earns $12.

Thus the rate of Julie is $12 per hour.

For the 16 hours, Julie's income will be.

Julie's income for 16 hours = 12 x 16

Julie's income for 16 hours = $192

Julie's income for 16 hours is $192.

Julie takes time to earn $228 will be

[tex]\rm Time = \dfrac{288}{12}\\\\Time = 24[/tex]

Thus, Julie takes only 24 hours to earn $288.

More about the ratio and the proportion link is given below.

https://brainly.com/question/1025229

Answer:

Choice 3

Step-by-step explanation:

Using V = πr^2 h

Choice 1. π2^2x6 = 75.4

Choice 2. π2.5^2x5 = 98.17

Choice 3. π3^2x4 = 113.1

Choice 4.  π3.2^2x3 = 96.51

Answer:

yes

Step-by-step explanation:

plz give me brainliestttt

Answer:

The standard form of the equation is y = 2x^2 + 16x + 25

Step-by-step explanation:

To find the standard form, first square the parenthesis.

y = 2(x + 4)^2 - 7

y = 2(x^2 + -8x + 16) - 7

Now distribute the 2

y = 2(x^2 + 8x + 16) - 7

y = 2x^2 + 16x + 32 - 7

Now combine like terms

y = 2x^2 + 16x + 32 - 7

y = 2x^2 + 16x + 25

Answer:

y = 2x^2 + 16x + 25

Answer:

1.08c or c + 0.08c

Step-by-step explanation:

The price of any used car plus 8% tax can be found by writing an expression. You can write an expression using a variable c where c is the price of the car. You will pay the 100% the whole price of the car and add on 8% of the price as tax. This means you pay 100 + 8 = 108% of the price c. This is 1.08c. Or you can also write it as c + 0.08c.

Given:

Brian scored 154 more than Colin

Colin’s score=141

Let Brian’s score be x

x= Colin’s score+ 154

x= 141 + 154

x=295

Brian’s score=x=295

Combined score= Brian’s +Colin’s

Combined score= 436

They have a combined score of 436 points

Data;

Let's write an equation showing Brain's score

[tex]x = 141+ 154\\x = 295[/tex]

Brain's score is equal to 295 points.

The sum of their combined score would be

Collin + Brain

[tex]141+295=436[/tex]

They have a combined score of 436 points.

Learn more on word problem here;

https://brainly.com/question/13818690

Answer:

C) Multiply the first equation by 2, and multiply the second equation by 5.

Step-by-step explanation:

Given equations are :

4x − 5y = 4

and

3x+2y = −20

Now we need to select the best possible first step to solving the system by first eliminating the y variable. Where given choices of the possible steps are:

A) Multiply the first equation by −2, and multiply the second equation by 5.

B) Multiply the first equation by 2, and multiply the second equation by −5.

C) Multiply the first equation by 2, and multiply the second equation by 5.

D) None of the above

Since we need to eliminate y, then we must make coefficients of y equal in both equations. Easiest way is to multiply coefficient of first equation into 2nd equation and multiply coefficient of y from 2nd equation into first equation. Make sure that their sign is oppsite.

Hence correct choice is C)Multiply the first equation by 2, and multiply the second equation by 5.

C) A resident in the group who supports the tax is likely to be male

The correct choice is:

 A resident in the group who supports the tax is likely to be male.

The table is given by:

                   Support              Against           Total

Female            20%                    74%              54%

Male                 80%                    27%              44%

Total                 100%                  100%             100%

Based on the table we observe that the of the people who supported the tax most of them are males.

Since the percent of males who supported tax are 80% which is more than the females who supported tax i.e. 20%.

Hence, the answer is: last option.

ok if i am right  their are 0.3333 yards in a foot so if their is 14 feet it would be 4.66667

so your answer would go to the 4 1/2

Answer:

14 ft  >  4 1/2 yd.

Step-by-step explanation:

1 yard = 3 ft

so

4 1/2 yard = 4.5 x 3 = 13.5 ft so it's less then 14 ft or 14 ft is greater than 13.5 ft

answer

14 ft  >  4 1/2 yd.

Answer:

y    = (5/4)x - 4

Step-by-step explanation:

As we move from (0, -4) to (4, 1), x increases by 4 and y increases by 5.

Thus, the slope of the line segment connecting these two points is

m = rise / run = 5/4.

Subbing these knowns into the point-slope formula for the equation of a straight line, we get:

y - 1 = (5/4)(x - 4), or

y     = (5/4)x - 5 + 1, or

y    = (5/4)x - 4

Let's check this out.  Determine whether or not (0, -4) satisfies the equation:

-4 = (5/4)(0) - 4

Yes, this is true; the equation is correct.