Answer:
–24x – 24 = x3 + 8x2
Step-by-step explanation:
-24x-24=x^3+8x^2
x^3+8x^2+24=-24x-24+24
x^3+8x^2+24=-24x
x^3+8x^2+24+24x=-24x+24x
x^3+8x^2+24x+24=0
Answer: x=-2
Step-by-step explanation:
[tex]-24x-24=x^3+8x^2\\-24x-24+24=x^3+8x^2+24\\-24x=x^3+8x^2+24\\-24x+24x=x^3+8x^2+24+24x\\0=x^3+8x^2+24x+24\\x^3+8x^2+24x+24=0\\x^3+8x^2+12x+12x+24=0\\(x)(x^2+8x+12)+(12)(x+2)=0\\(x)(x^2+2x+6x+12)+(12)(x+2)=0\\(x)((x)(x+2)+6(x+2))+(12)(x+2)=0\\(x+2)((x)(x+6)+12)=0\\ (x+2)(x^2+6x+12)=0\\x+2=0\\x+2-2=0+(-2)\\x=-2\\x^2+6x+12=0\\D=(-6)^2-(4)(1)(12)\\D=36-48\\D=-12\\Hence,\\The\ equation\ has\ no\ valid \ roots\\Thus,\\x=-2[/tex]
How do division properties help you evaluate expressions?
Drag a word or number to the box to correctly complete the statement.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
When the Response area of a fraction is equal to −1 and the numerator is nonzero, the value of the fraction is equal to the
The division property of equality simply tells us that if we divide both sides of an equation by the same number, then the equation remains the same.
How to explain the information?It should be noted that when the denominator of a fraction is equal to 1, and the numerator is nonzero, the value of the fraction is equal to the numerator of the fraction.
Fractions simply means, numbers that are not whole.
If the numerator is nonzero, and the denominator is 1; then the fraction has a value of the numerator.
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Answer:If the numerator is nonzero, and the denominator is 1; then the fraction has a value of the numerator.
Step-by-step explanation:
Question 4
Tricia wants to install a decorative wall paper border around the top of the wall in he
master bedroom. The room measures 18ft by 14ft. How many feet of the border will
will she need?
Provide a numeric answer only. Do not include a unit of measure with your response
For the installation of a decorative wall paper Tricia will need 70 ft of the border to decorate the wall of her master bedroom.
The measures of the room is 18 ft by 14 ft.
So, the length of the room (l) = 18 ft
The width of the room(w) = 15 t
As we know that, perimeter of rectangle is 2(l×w).
We will get perimeter of he room = 2l × 2w
= 2(18) × 2(14)
= 70 ft.
Two cyclists, 30 miles apart, start riding toward each other at the same time. One cycles 2 times as fast as
the other. If they meet 2 hours later, what is the speed (in mi/h) of the faster cyclist?
a. Write an equation using the information as it is given above that can be solved to answer this problem.
Use the variable r to represent the speed of the slower cyclist.
b. What is the speed of the faster cyclist?
mi/hr
The equation as r + 2 r = 30 miles / 2 hours and the speed of faster cyclist as 10 miles per hour.
We are given that:
The distance between the two cyclist = 30 miles.
Now let the speed of one cyclist be x miles / hour.
Speed of other cyclist = 2 x miles / hour.
Now, 2 hours later they meet.
Distance covered by 1st cyclist in 2 hours = 2 x
Distance covered by 2st cyclist in 2 hours = 4 x
Equation will be:
2 x + 4 x = 30 miles
6 x = 30 miles
x = 5 miles.
Equation for the cyclist in terms of r will be :
r + 2 r = 30 miles / 2 hours
Speed of faster cyclist = 10 miles per hour.
Therefore, we get the equation as r + 2 r = 30 miles / 2 hours and the speed of faster cyclist as 10 miles per hour.
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Rob and Lila try to simplify 18 x 42 + (9 – 3)2. Rob simplifies the expression and gets 360. Lila simplifies it and gets 324. Which student is correct? What error did the other student make?
The result of the expression, 18 x 4² + (9 – 3)² after simplification is 324.
What is an expression?
An expression can be defined as the combination of variables and constants with two or more operations applied to it. The operation can be addition, subtraction, multiplication and division.
Simplifying the expression
The given expression is 18 x 4² + (9 – 3)²
Using the BODMAS rule, we get,
= 18 x 4² + (6)²
= 18 × 16 + 36
= 288 + 36
= 324
Lila estimated it right.
The mistake that Rob might have made would be that he must have not solved (9 – 3)² the right way and gained the wrong answer.
Hence, the result of the expression, 18 x 4² + (9 – 3)² after simplification is 324.
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solve the equation secx=2 on interval[0,2pie)
The threes solutions to the given equation sec²x - secx = 2 are:
[tex]x_1=\frac{\pi}{3} ; \quad x_2=\frac{5 \pi}{3} ; \ x_3=\pi[/tex]What exactly are equations?An equation is a statement composed of two expressions joined by an equal sign. An equation is 3x - 5 = 16. By solving this equation, we obtain the value of the variable x as x = 7.To solve: sec²x - secx = 2 on interval [0,2[tex]\pi[/tex])
When we set t = sec x, we get the quadratic equation:
[tex]t^2-t-2=0[/tex]Which has the solutions: [tex]t_1=2 ; \quad t_2=-1[/tex]As a result, we must seek solutions to the equations:
[tex][1] \sec x=2: \quad \cos x=\frac{1}{2} \rightarrow x_1=\frac{\pi}{3} ; \quad x_2=\frac{5 \pi}{3} ;$\\\text { [2] } \sec x=-1: \quad \cos x=-1 \rightarrow x_3=\pi ;[/tex]
Therefore, the three solutions are:
[tex]x_1=\frac{\pi}{3} ; \quad x_2=\frac{5 \pi}{3} ; \ x_3=\pi[/tex]Know more about equations here:
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The correct question is given below:
solve the equation sec²x - secx = 2 on interval [0,2[tex]\pi[/tex])
Khan Question please answer
Answer: 45 mins
Step-by-step explanation:
Maria and Anita = 30mins
this is 2/3 the time of what Maria takes
so 30 mins is 2/3 so 30 / 2/3 = 45mins
use the diagram and the given angle measure to find the other 3 measures. m<3=159 degrees
Answer: hegdbweh wnbdb jsbdjh
Step-by-step explanation:b jbedbd jakdnfcj jsdcnbv
What the slope of the line on the graph please help me
Answer: Slope = 7/6
Step-by-step explanation:
Consider the information about the economy of Pakistan. Note that the currency of Pakistan is the rupee.
The government purchases: 3.30 trillion of rupees.
Individuals consume: 9.50 trillions of rupees.
Individuals save: 5.44 trillions of rupees.
Businesses invest: 1.20 trillions of rupees.
Foreigners spend: 0.50 trillions of rupees to purchase Pakistani firms.
Pakistan imports: 2.13 trillions of rupees.
Pakistan exports: 1.40 trillions of rupees.
Calculate Pakistan's GDP. Assume that the values are all current and no conversions need to be made. Give your answer in terms of trillions of rupees, and round to two decimals.
Pakistan's GDP is 13.27 trillion rupees.
What is GDP?GDP is the total value of all products manufactured and goods provided within that territory during a specific period.
We have,
Government purchases = 3.30 trillion rupees.
Individuals consume = 9.50 trillion rupees.
Individuals save = 5.44 trillion rupees.
Businesses invest = 1.20 trillion rupees.
Foreigners spend =0.50 trillion rupees to purchase Pakistani firms.
Pakistan imports = 2.13 trillion rupees.
Pakistan exports = 1.40 trillion rupees
GDP is given by:
C + I + G + NX
Where,
C = Consumption
I - Investment
G - Government Purchases
NX - Net Exports = Export - Import
So,
C = 9.50
I = 1.20
G= 3.30
NX = ( 1.40 - 2.13 ) = -0.73
GDP = 9.50 + 1.20 + 3.30 - 0.73
GDP = 13.27 trillion rupees.
Thus Pakistan's GDP is 13.27 trillion rupees.
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Jan has a car worth $3500. She still owes $1000 on the loan. She also borrowed $800 on a credit card. What are her total liabilities?
Answer:
Step-by-step explanation:
By adding the laibilites together you get 1,800.
Can someone help me please?
Answer:
60 or 6x10^1 dogs in two days
Step-by-step explanation:
Saturday: 2x10^1 dogs
Sunday: 2(Saturday) = 2 (2x10^1)
-----------------------------------------------------
2x10 = 20
2(20) = 40
20 + 40 = 60
60 or 6x10^1 dogs in two days
One rectangle is "framed" within another. Find the area of the shaded region if the
"frame" is 1 unit wide.
10
5
The rectangle that is shaded has an area of 18 square units.
The framed rectangle is represented by the darkened area, while the frame is shown in white.
The frame's known width is two units, and both the rectangle and the frame have the following dimensions:
width = 7 units
length = 10 units
Now, if we remove the frame, each measure will lose 2*2 units, or 4 units (because for each measure we have the frame in both sides).
As a result, the measurements for the shaded rectangle are as follows:
width = 7 units - 4 units = 3 units
length = 10 units - 4 units = 6 units.
And since the product of a rectangle's width and length determines its area, we may calculate:
A = (3 units)*(6 units) = 18 square units.
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Please HELP ME I need help on this final question
PLEASE HELP!
Anand is driving on a long road trip. He currently has 10 gallons of gas in hi
car. Each hour that he drives, his car uses up 2 gallons of gas. How much ga
would be in the tank after driving for 2 hours? How much gas would be left
after t hours?
gas left after 2 hours
gas left after t hours
Answer:
8 gallons left.......
Step-by-step explanation:
10 - 2 = 8
Yes, it is entirely possible for vou te retire as a millionaire. If your long-term financial goal is te retire as a millionaire and you plan to invest at least $200 per month for 40 years, what rate of return would keep you from ending up a millionaire based on the Building Wealth charts?
The rate of return that would keep the individual from ending up a millionaire based on the Building Wealth charts is 9.22%
What is most appropriate method in this case?
The most suitable approach to solve for the rate of return in this instance is to make use of a financial calculator , which requires inputs as such the monthly payments, the beginning balance which is the present value and the future value which is $1,000,000 since the individual intends to retire as a millionaire.
N=480(number of monthly payments in 40 years i.e.40*12)
PMT=-200(monthly payment)
PV=0(starting balance is zero)
FV=1000000(the future value is $1,000,000)
CPT(press compute)
I/Y=0.768414778771834%(monthly rate of return)
annual rate of return=0.768414778771834%*12=9.22%
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Model this expression on a number line
PLS HELP PLS I DON'T WANT TO FAIL PLEASE HELP PLEASE 20 POINTS
Answer:
653209
Step-by-step explanation:
Because i did this already
What are the challenges in mixed research method?
The seamless integration of quantitative and qualitative data during analysis and interpretation is one of the main issues in mixed research methods.
What is the research about?Mixed Techniques Research is characterized as a subtype of user research that incorporates both qualitative and quantitative research approaches.
The overarching goal and fundamental tenet of mixed methods research is that using both quantitative and qualitative methods together yields a more comprehensive grasp of study issues and complicated phenomena than either method by itself.
In conclusion, the seamless integration of quantitative and qualitative data during analysis and interpretation is one of the main issues in mixed research methods.
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UNIT TEST:
Basic Tools and Transformations - Part 1
For given polygon, the value of x is 61°
In this question we have been given a polygon with five sides.
We have been given the five interior angles of the polygon.
We need to find the value of x.
From given figure, we can observe that the given polygon is nothing but a pentagon.
We know that the sum of all interior angles of the pentagon is 540°
⇒ 107° + 144° + 138° + x° + 90° = 540°
⇒ 479° + x° = 540°
⇒ 479° + x° - 479° = 540° - 479°
⇒ x = 61°
Therefore, for given polygon, the value of x is 61°
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If the end behavior is decreasing to the left ,what might be true about the function
Answer:
As the input gets smaller, the output gets smaller.
Step-by-step explanation:
QUICK IM TIMED PLS HELP
Re arrange equation to make x the subject
X-3=4y
Answer:
Re arrange equation to make x the subject
X-3=4y
-3 will be moved to the other side of equal sign
in doing so, its sign will be be switched
so
x=4y+3
Jorge sells chairs for $230 after a markup of $80. Jorge's percent of markup based on the selling price is?
Jorge's percent of markup based on the selling price is 34.78%.
The Percent markup based on Selling Price is calculating using the formula
Percent Markup = ( Markup/Selling Price )*100
In the given question
The Selling Price of chair = $230
Markup = $80
Substituting the values of Selling price and Markup in the Percent markup formula,
We get ,
Percent Markup = (80/230) * 100
=0.3478
=34.78
Therefore , the percent markup based on the selling price is 34.78%.
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What is the selling price if cost is $18.00 and the mark up is 70% ??
show your work
The selling price if cost is $18.00 and the mark up is 70% is $30.60
What is mark up?
The mark up means profit earned as percentage of the cost price, whereas margin means the profit is a percentage of the selling price, in other words, the profit element to add to the cost price to derive the selling price in this case is 70% of the cost price of $18.00
profit(mark up)=70%*$18.00
profit(mark up)=$12.60
selling price=cost price+ profit(mark up)
selling price=$18.00+$12.60
selling price=$30.60
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Combine like terms to simplify the expression:
5x^2-2x+3x^2+7x+10
Answer:
8x^2-5x+10
you just need to put the ones that are the same together
14. Which expression shows the sum of 30 and 45 as the product of th and a sum of two numbers with no common factor? A) 5(6 + 9) B 15(2+3) C 15(15 +45) D 90(2+3)
The diameter of a circle is 15 ft. Find its circumference in terms
Answer:
C≈47.25
Step-by-step explanation:
Use the formula C= πd, where C is circumference, π is pi, and d is diameter.
Input the numbers and we'll shorten π to 3.15
C=3.15(15)
C≈47.25
Hi!
To find the circumference of a circle, use the following formula:
[tex]\implies\sf{Circumference_o=\pi d}[/tex]
where d is the diameter.Now, we know that the diameter is 15 ft, so let's plug that into the formula:
[tex]\implies\sf{Circumference_o=15\pi }[/tex]
We've found the circumferencce in terms of pi! Cheers :)
Have a nice day!
I hope this helped.
16. The formula A = r² can be used to find the area of a circle. Solve the equation for r.
a. r=A-2n
b. r = √A - T
C. r=
d.)r =
A
A
211
Someone help ASP YOU GET 30 points and more show work so I’ll be able to understand THANK YOU!!
Answer: 1. x=4
2. x=12
3. x=-1
Step-by-step explanation:
1. 2(3x-5)=-4x+30
6x-10=-4x+30
6x+4x-10=-4x+4x+30
10x-10=30
10x-10+10=30+10
10x=40
10x/10=40/10
x=4
2. 5x-6-3x=18
5x-3x-6=18
2x-6=18
2x-6+6=18+6
2x=24
2x/2=24/2
x=12
3. -11-5x=6(5x+4)
-11-5x=30x+24
-11-5x+5x=30x+5x+24
-11=35x+24
-11-24=35x+24-24
-35=-35x
x=-1
What is: -6.7 x 3 + (-5.8)
Answer: -25.9 or -25 9/10
Step-by-step explanation:
Answer:
-25.9
Step-by-step explanation:
-6.7 × 3 gives you -20.1 adding on the 5.8 gives you 25.9
given the function f(x)=2/3x-5, evaluate f(9)
2/(3x-5)
2/(3(9)-5)
1/11 :(