help please What is the simplest form of the expression representing this product?
x+10/x2+7x-18 * 3x2-12x+12/3x+30

Help Please What Is The Simplest Form Of The Expression Representing This Product?x+10/x2+7x-18 * 3x2-12x+12/3x+30

Answers

Answer 1

Answer:

x-2

x+9

Step-by-step explanation:

Answer 2

Answer:

[tex]\frac{x-2}{x+9}[/tex]

Step-by-step explanation:

Factorizing Fraction 1

[tex]\frac{x+10}{x^{2}+7x-18 }[/tex][tex]\frac{x+10}{(x+9)(x-2)}[/tex]

Factorizing Fraction 2

[tex]\frac{3x^{2} -12x+12}{3x+30}[/tex][tex]\frac{x^{2} -4x+4}{x+10}[/tex][tex]\frac{(x-2)^{2} }{x+10}[/tex]

Now, multiply the fractions :

[tex]\frac{x+10}{(x+9)(x-2)}[/tex] × [tex]\frac{(x-2)^{2} }{x+10}[/tex][tex]\frac{x-2}{x+9}[/tex]

Related Questions

A rectangle measures 2(3x - 1) cm by (2x + 3) cm. If its perimeter is 98 cm what are the dimensions of this rectangle?​

Answers

Answer:

the dimensions of the rectangle are 34cm and 15cm

Step-by-step explanation:

proof:

p= (2 × 34) + (2 × 15)

=68 + 30

= 98

hope this helps!!

Answer: 34x15

Step-by-step explanation:

A rectangle


Knowing the properties of a rectangle, the opposite sides are equal and parallel.

Determine formula

Since both sides are equal, our formula is [tex]((2(3x-1))*2)+((2x+3)*2)=98[/tex]

Solve for X

Side 1:

[tex]((2(3x-1))*2)[/tex]

[tex]((6x-2)*2)[/tex]

[tex](12x-4)[/tex] simplified

Side 2:

[tex]((2x+3)*2)[/tex]

[tex](4x+6)[/tex] simplified

Solve:

[tex](12x-4) + (4x+6) = 98[/tex]

[tex]16x+2=98[/tex]

[tex]16x=96[/tex]

[tex]\frac{16x}{16} = \frac{96}{16}[/tex]

[tex]x = 6[/tex]

Substitute x

[tex]2(3(6)-1) = 34[/tex]

[tex](2(6)+3) = 15[/tex]

The dimensions of this rectangle are 34x15.

Using basic geometry, solve sin 105°​

Answers

Answer:

See below

Step-by-step explanation:

sin ( 60 + 45) = sin60 cos 45  + cos45 sin60

                      = sqrt3 / 2 * sqrt2/2   + sqrt2/2 * 1/ 2

                        sqrt6/4    + sqrt 2/ 4

                          (sqrt6 + sqrt 2) / 4

Find AC.

brainly is forcing me to make this longer but its just that

Answers

Answer:

24.49 units

Step-by-step explanation:

It si NOT a right triangle, so you'll have to use law of sines

angle C = 180 - 45-75 = 60 degrees

30 / sin60 =  AC / sin 45

AC = 30 * sin 45 / sin 60 = 24.49 units

3) Which of the following is greater than 2?
a)3/4 + 1 1/8
b)8/6 +
9/12
c) 13/20 + 11/12

Answers

The correct answer is b

(d) develop a questionnaire for the based on the research under the study (5 marks) QUESTION TWO (10 MARKS) A marketing company which specializes in the sale of mobile phones has engaged you to investigate into what influences customers in the purchase of its wide range of phones. In your analysis of your administered questionnaires, you performed a regression analysis of certain features and benefits of the phones on customer purchase. Use the summary of the regression output in table 1 to answer the following questions Table I Models Unstandardized Coefficients Standardized Coefficients Sig (Significant) B Standard error Beta (Constant) 1.06 727 0.000 Shape 0.124 0.091 495 Colour 0.217 319 0.003 Sine 0.323 0.069 018 0.020 Name -0.429 0.012 4.023 0.102 Dependent Variable: Customer Purchase Required a. At 95% confidence level, interpret your data with respect to the objectives of the study (3 marks) b. From the analyzed data, what recommendation(s) will you make to the marketing company? (3 marks) c. What would be your answer if the analysis was performed at 99% confidence level (3 marks) dWhich variable makes the greatest impact or influence on customer purchase​

Answers

Answer:

wait who you again have we met before wait what

Step-by-step explanation:

I dont know you I dont help strangers oh yea can i get the 4 for 4 from wendys

Select the correct answer. Consider the given function. 5, x < -2 3, 2 f(x) = 0, 0≤x≤2 -3, 2 Which graph represents the given function?

help!! ​

Answers

< or > = open circle≤ or ≥ = closed circle

⇒ open circle at (-2, 5) with a line to the left

⇒ closed circle at (-2, 3) with a line segment to an open circle at (0, 3)

⇒ closed circle at (0, 0) with a line segment to an open circle at (2, 0)

⇒ closed circle at (2, -3) with a line to the right

The two formats used in an observation checklist are:
A. Video recording and audio recording
B. Performance profiles and Tallies
C. Tallies and video recording
D. Performance profiles and SMART Targets

Answers

Answer:

The two formats used in an observation checklist are:

A. Video recording and audio recording

B. Performance profiles and Tallies

C. Tallies and video recording

D. Performance profiles and SMART Targets

#CarryOnLearning

Answer:

A. Video recording and audio recording

Step-by-step explanation:

#hope it helps!

Answered by ReyvREYV111

After rolling a fair 20-sided die 200 times The observed or experimental probability of rolling a 20 was 25% what will happen to the probability of rolling a 20 if the dye is ruled 10,000 more times

Answers

Answer:

Step-by-step explanation:

The theoretical probability of getting a 20 in 1 throw is 1/20 = 5%.

The more times you roll the dye the closer the experimental probability moves to the theoretical.

So  the probability will get  less than 25% and get closer to the theoretical 5%.

If the die is rolled 10,000 more times, we can expect the experimental probability of rolling a 20 to be close to 500/10,000, which simplifies to 0.05 or 5%.

We have,

The probability of rolling a 20 on a fair 20-sided die is 1/20 or 0.05.

If the die is rolled 200 times and the observed probability of rolling a 20 is 25%,

We can calculate the number of times a 20 was actually rolled as follows:

Number of times a 20 was rolled

= Observed probability × Number of rolls

= 0.25 × 200

= 50

So, out of 200 rolls, 20 were rolled 50 times.

Now, if the die is rolled 10,000 more times, we can use the law of large numbers to expect the experimental probability of rolling a 20 to approach the true probability of 0.05.

The expected number of times a 20 will be rolled in 10,000 rolls is:

The expected number of times a 20 will be rolled

= Probability of rolling a 20 × Number of rolls

= 0.05 × 10,000

= 500

Therefore,

If the die is rolled 10,000 more times, we can expect the experimental probability of rolling a 20 to be close to 500/10,000, which simplifies to 0.05 or 5%.

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How much should you invest at 3.7% simple interest in order to earn $70 interest in 11 months?

Answers

Step-by-step explanation:

in this condition we are given simple interest time and rate

so principal is missing so we should use the formula of principal that is

P=I×100/T×R

but we should convert that month in to years and we convert it by dividing it by 12.

Find the lateral area of the prism.
11cm
4cm
4cm

Answers

Answer:

120 cm squared

Step-by-step explanation:

1.the bases in this case are in blue,these are not included in lateral surface area.

first we must find the area of the top & bottom squares.

(4x4=16)

Then the side rectangles

(11x4=44)


then We add,there are two squares and two rectangles included in the lateral surface area.So we can do 16x2=32 and 44x2=88.

now that we have all our measurements we can add these numbers

88+32=120 cm squared

Calculus, A) find the slope of the line
B) interpret the slope

Answers

Answer:

- [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

Slope of the line indicate how fast ( or slow ) the line is going up or down

JoAnne wanted to add some accessories to her house. She purchased the following items; 2 decorative bowls for $46 each, a picture for $85, a lamp for $67, and four candles for $12 each. How much did she spend?
$296
$292
$290
$294

Answers

Answer:

the answer is $292 :)

have a nice day

what is 58.8 in word form

Answers

Answer:

It fifty-eight and eight tenths

Step-by-step explanation:

Answer: fifty-eight and eight tenths

Step-by-step explanation:

is 300 greater than 1/2?

Answers

Answer:

yes

Step-by-step explanation:

1/2 is half of 1.

300 is 300 times greater than 1, so 300 is 600 times greater than 1/2.

Answer:

Yes, 300 is greater than 1/2

Help please!!!!!!!!!!!!!!!!!

Answers

Answer:

A^2 +b^2 = c^2

8^2 + 13^2

64 + 169

233

233 = c^2

so we find the square root of 233

answer is 15.26

Answer:

15.26

Step-by-step explanation:

The Pythagorean theorem

The Pythagorean theorem is used to find missing side lengths in a right triangle (  a triangle with a right angle or 90 degree angle , note that this only works with right triangles ). In order to use the Pythagorean theorem we must have 2 given side lengths.

The formula of the Pythagorean theorem is

a² + b² = c²

Where a and b = base lengths and c = hypotenuse ( longest side )

Solving for the missing side

Here, we are given two side lengths, more specifically the two legs and we need to find the missing side which is the hypotenuse.

To do so, we plug in what we are given ( a = 8 and b = 13 ) and solve for what we need to find ( c )

Plugging in what we are given

Given:

a = 8 , b = 13

Formula : a² + b² = c²

==> plug in values

8² + 13² = c²

==> simplify exponents

64 + 169 = c²

==> add 64 and 169

233 = c²

==> take the square root of both sides

c = 15.26 ( rounded to two decimal places )

And we are done!

Please help me find the answer to:
12x^5 ÷ 3x^2

Answers

Graph for 12*X^5/ (3*X^2)

Calculate the distance between the points C = (-5, 9) and G=(-2, 4) in the coordinate plane.
Give an exact answer (not a decimal approximation).

Answers

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ C(\stackrel{x_1}{-5}~,~\stackrel{y_1}{9})\qquad G(\stackrel{x_2}{-2}~,~\stackrel{y_2}{4})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ CG=\sqrt{[-2 - (-5)]^2 + [4 - 9]^2}\implies CG=\sqrt{(-2+5)^2+(-5)^2} \\\\\\ CG=\sqrt{3^2 +(-5)^2}\implies CG=\sqrt{34}[/tex]

Solve the equation with rational exponents
(x-1)3/2=27

Answers

[tex]~~~~~~(x-1)^{\tfrac 32} =27\\\\\implies \left[(x-1)^{\tfrac 12} \right]^3 = 3^3\\\\\implies (x-1)^{\tfrac 12} = 3~~~~~~~~~;[\text{Cube root on both sides}]\\\\\implies x -1 = 9~~~~~~~~~~~~;[\text{Square both sides}]\\\\\implies x = 10[/tex]

find the equation of the circle with centre (2,3) and which touches the x-axis

Answers

Answer:

(y-3)^2=4p(x-2)

Step-by-step explanation:

C(h,k)

The equation is (y-k)^2=4p(x-h)

Answer:

(x-2)² + (y-3)² = 9

Explanation:

Circle Formula: (x - h)² + (y - k)² = r²

As touches x axis, coordinates: (2, 0)

radius: √(2-2)² + (3 -0)² = 3

Now find equation:

= (x-2)² + (y-3)² = 3²

= (x-2)² + (y-3)² = 9

Two vertices of a right triangle have coordinates (0,0) and (4.0), as plotted on the grid below. The hypotenuse of the triangle is 8 units long.
(0.6)
(4.0)
if the triangle's third vertex has coordinates (0,y), which is a possible value of y?
02
0 4√2
043

Answers

Answer:

y=2

Step-by-step explanation:

due to diagram have done the steps in the image

Two buses leave towns 948 kilometers apart at the same time and travel toward each other. One bus travels 11km/h slower than the other. If they meet in 4 hours, what is the rate of each bus?

Answers

If they meet in 4 hours. Then the speed of each bus will be 124 km per hour and 113 km per hour.

What is speed?

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

Two buses leave towns 948 kilometers apart at the same time and travel toward each other. One bus travels 11km/h slower than the other.

If they meet in 4 hours.

Then the speed of each bus will be

Let x be the speed of the one bus.

Then the speed of second bus will be

Speed = x - 11

Then the relative speed will be

Speed = 2x - 11

Then we have

2x - 11 = 948 / 4

2x - 11 = 237

    2x = 248

      x = 124

Then the speed of each bus will be 124 km per hour and 113 km per hour.

More about the speed link is given below.

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Susan is going to watch a movie in her collection she has 5 action movies 4comedies and 3 dramas she will randomly select one movie what is the probability tagt the movie she selects is not drama hurry please

Answers

Answer:

9/12 or 75%.

Step-by-step explanation:

Let's first add the choices all up.

5+4+3= 12.

We have 12 movie choices in total.

Now, we know that we have 3 drama movie choices...so the chance we will choose drama is 3/12, but we are not finding that.  We want the chance she will NOT choose drama, so that would be 9/12.

*Since the chance she will choose drama is 3/12, the chance she will not choose is 9/12. 9+3 is 12, the total amout.*

The graph of y = cos x is transformed to the graph below. Which statement
about the graph is not correct?
QA. There is no phase shift.
OB. The period is pi.
OC. The amplitude is 2.
O. D. The midline is y = 1.5.
EIN
5

Answers

Answer:

d)The midline is y=1.5

Step-by-step explanation:

Because you can see in the graph that the midline is 1. So only c is no correct.

The amplitude is measured between the midline and the pik(highest or lowest value) of the function. This case is 2. True

The period is the distance between “equivalent” points. pi in this case. True.

The phase shift occur when the function is shifted on the x-axis. There is no phase shift. True.

An angle that measures 125° is composed of three smaller angles. Two of the smaller angles measure 25° and 40 degrees Tom thinks he can use the equation 25 degrees + (40 degrees - 25 degrees) = s to find the measure of the unknown smaller angle, s. Explain why Tom is incorrect and tell how to find the measure of the third smaller angles

Answers

The measure of the other angle is 60°.

What is an Angle ?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

As given in the question

An angle that measures 125° is composed of three smaller angles.

Two of the smaller angles measure 25° and 40 degrees

Tom thinks he can use the equation 25 degrees + (40 degrees - 25 degrees) = s to find the measure of the unknown smaller angle, s

Tom is incorrect because the sum of the smaller angles will be equal to the bigger angle and the equation he has written is wrong.

The right equation and method will be

25 +40+x = 125

x = 125-40-25

x = 60°

Therefore the measure of the other angle is 60°.

To know more about angle

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Which transformations, when performed together, would carry graph A onto graph B? Choose all that apply.

A. A reflection over the x-axis

B. A translation of 4 units up

C. A vertical compression with a scale factor of 1/2

D. A vertical stretch with a scale factor of 2

Answers

Answer:

a and b I know for sure, im not sure about the others sorry

It costs $3.00 to rent a boat on the lake for hour. Select ALL the statements that correctly match this ratio.
4
3
- of a hour costs $9.00
4
2 hours costs $18.00
1 hour costs $12.00
1
2
hour costs $6.00

Answers

2 hours costs 6 dollars is the only statements that is true

--

simply add 3.00 to 3.00 because its 2 hours

or if it was half an hour simply add 1.50 because half of 3.00 is 1.50

13. A statistics student had excluded three outlier values when
constructing a histogram of a frequency distribution. His teacher
directed him to remake the histogram and include the outliers.
Which of the following must be true?

O The class boundaries would change.

O The interpretation of the histogram remains the same.

O The shape of the histogram changes.

O The shape of the histogram remains the same.

Answers

The statement first “the class boundaries would change" is the correct.

What is statistics?

Statistics is a mathematical tool defined as the study of collecting data, analysis, understanding, representation, and organization. Statistics described as the procedure of collecting data, classifying it, displaying that in a way that makes it easy to understand, and analysing it even further.

We have:

A statistics student had excluded three outlier values when constructing a histogram of a frequency distribution.

As we know, the statistics described as the procedure of collecting data, classifying.

And from the given data we can conclude the class boundaries would change.

Thus, the statement first "the class boundaries would change" is the correct.

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Answer:

O The shape of the histogram changes

Step-by-step explanation:

There is no guarantee that the outliers are larger or less than the pre-existing class boundaries. Therefore the only thing we can be sure will happen is that the shape of the histogram will change given that any addition or subtraction of variables contributes to the shape regardless.

Penelope has a bag that contains orange chews, apple chews, and lime chews. She performs an experiment. Penelope randomly removes a chew from the bag, records the result, and returns the chew to the bag. Penelope performs the experiment 33 times. The results are shown below:
A orange chew was selected 13 times.
A apple chew was selected 9 times.
A lime chew was selected 11 times.

Based on these results, express the probability that the next chew Penelope removes from the bag will be apple or lime as a percent to the nearest whole number.

Answers

The probability that the next chew Penelope removes from the bag will be apple or lime as a percent is 60.6%.

What is Probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1.

Here, Number of apple and lime is 9 + 11 =20

Total bag contains = 13 + 9 + 11 = 33

Probability = Number of apple or line / Total

                   = 20 / 33

                   = 60.6 %

Thus, The probability that the next chew Penelope removes from the bag will be apple or lime as a percent is 60.6%.

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Which set of transtormations results in two polygons that are similar but not congruent?

Answers

Answer is Dilation
Reason; Dilation changes the figure size to bigger or smaller so it is not congruent.
Translation, rotation and reflection transformations are congruent

3. Can you form a right triangle with the three lengths given? Why or why not?
4 m, 6 m, 7 m
Oyes; 42 +6² * 7²
no; 4 + 6 # 7
yes; 4 + 6 = 7
Ono; 4² +62 * 7²

Answers

Answer:

No

Step-by-step explanation:

To get if values can create a right angled triangle use the pythogras theory a squared plus b squared equals c squared

So in this case 4 squared plus 6 squared don't equal to 7 squared

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