Which choice is equivalent to the product below for acceptable values of x?

Which Choice Is Equivalent To The Product Below For Acceptable Values Of X?

Answers

Answer 1

Answer:

the answer to the question is c

Answer 2

The equivalent expression to the equation is A = √ ( x² - 9 )

What do you mean by an Equation?

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.

It displays the similarity of the connections between the phrases on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = √ ( x + 3 ) .√( x - 3 )

Now , on simplifying the roots of the equation , we get

A = √ ( x + 3 ) ( x - 3 )

The value of ( a + b ) ( a - b ) = a² - b²

So , on further simplification , we get

A = √ ( x² - 9 )

Therefore , the equivalent expression of A is √ ( x² - 9 )

Hence , the equation is A = √ ( x² - 9 )

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Related Questions

Camp counselors kept track of the number of granola bars they served each day.
What is the median of the data set?

Answers

Answer:

the median is 43

Step-by-step explanation:

Cheryl bought a shirt for $42 and sweater for$30. Write a numerical expression that represents the change Cheryl received from four $20 bills

Answers

Answer:

[tex]Change = \$8[/tex]

Step-by-step explanation:

Given

[tex]Bills = $20\ bills[/tex] (4)

[tex]Shirt = \$42[/tex]

[tex]Sweater= \$30[/tex]

Required

The change

First, we determine the amount paid,

To do this, multiply the number of bills by the worth of each bill.

So, we have:

[tex]Amount = 4 * \$20[/tex]

[tex]Amount = \$80[/tex]

Next, calculate the worth if item bought

[tex]Items = \$42 + \$30[/tex]

[tex]Items = \$72[/tex]

Subtract the items from the amount to get the change.

[tex]Change = \$80 - \$72[/tex]

[tex]Change = \$8[/tex]

x2 - 3|x - 2| - 4x = - 6
Solve for x

Answers

Answer:

if that is x^2 -3|x-2|-4x=-6, then this should be the answer other wise it would be a biiiit diffrent

Step-by-step explanation:

The effect of the time of day a science class is taught on test scores is being
studied in an experiment. Which of these is most likely to be an extraneous
factor that could also affect test scores?
A. Student clothing
B. Color of the school hallways
C. Principal of the school
D. Length of class period

Answers

Answer:D

Step-by-step explanation:

The effect of the time of day a science class is taught on test scores being studied in an experiment will be the length of the class period. The correct option is D.

What is a test analysis?

A test score is a piece of data, typically a number, that describes how well a test-taker performed. It is "a summary of the evidence contained in an examinee's replies to the test items that are connected to the construct or constructs being tested," according to one formal definition.

Given that the effect of the time of day a science class is taught on test scores is being studied in an experiment.

The time of the class periods is affected by the length of the class period. The length of the class period of one subject should be optimum so that students get the concepts easily without getting bored.

Therefore, an effect of the time of day a science class is taught on test scores being studied in an experiment will be the length of the class period. The correct option is D.

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A random sample of 388 married couples found that 294 had two or more personality preferences in common. In another random sample of 566 married couples, it was found that only 38 had no preferences in common. Let p1 be the population proportion of all married couples who have two or more personality preferences in common. Let p2 be the population proportion of all married couples who have no personality preferences in common.

Answers

Solution :

Given :

[tex]$n_1=388$[/tex] , [tex]$x_1 = 294, \ n_2 = 566, \ x_2 = 38$[/tex]

Sample proportion, [tex]$(\hat p_1)=\frac{x_1}{n_1}$[/tex]

                                        [tex]$=\frac{294}{388}$[/tex]

                                       = 0.7577

Sample proportion, [tex]$(\hat p_2)=\frac{x_2}{n_2}$[/tex]

                                        [tex]$=\frac{38}{566}$[/tex]

                                       = 0.0671

For 95 % CI, z = 1.96

The confidence interval for the population proportion,

[tex]$p_1-p_2=(\hat p_1-\hat p_2)\pm z \left\{\sqrt{\frac{\hat p_1 \times (1- \hat p_1)}{n_1}+\frac{\hat p_2 \times (1- \hat p_2)}{n_2}}\right\}$[/tex]

           [tex]$=(0.7577-0.0671)\pm 1.96 \left\{\sqrt{\frac{0.7577 \times (1- 0.7577)}{388}+\frac{0.0671 \times (1- 0.0671)}{566}}\right\}$[/tex]

[tex]$=0.6906 \pm 1.96 \times \left 0.0241$[/tex]

= [tex]$0.6906 \pm 0.0472 $[/tex]

Lower limit : 0.6906 - 0.0472 = 0.6434

Upper limit : 0.6906 + 0.0472 = 0.7378

Six measurements were made of the magnesium ion concentration (in parts per million, or ppm) in a city's municipal water supply, with the following results. It is reasonable to assume that the population is approx. normal.

DATA: 202, 164, 157, 177, 113, 213202, 164, 157, 177, 113, 213.

Based on a 98% confidence interval for the mean magnesium ion concentration, is it reasonable to believe that the mean magnesium ion concentration may be greater than 195?

Answers

Answer:

The 98% confidence interval for the mean magnesium ion concentration is between 122 ppm and 220 ppm. As the lower bound of the interval is below 195, it is not reasonable to conclude that the mean magnesium ion concentration may be greater than 195

Step-by-step explanation:

The six measurements are:

202, 164, 157, 177, 113, 213

Sample mean:

Sum of all values divided by the number of values which is 6. So

[tex]S_m = \frac{202+164+157+177+113+213}{6} = 171[/tex]

Sample standard deviation:

Square root of the difference squared between each value and the mean, and divided by 1 subtracted by the sample size. So

[tex]s = \sqrt{\frac{(202-171)^2+(164-171)^2+(157-171)^2+(177-171)^2+(113-171)^2+(213-171)^2}{5}} = 35.69[/tex]

Confidence interval

We have the standard deviation for the sample, which means that the t-distribution will be used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 6 - 1 = 5

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 5 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 3.365

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 3.365\frac{35.69}{\sqrt{6}} = 49[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 171 - 49 = 122 ppm

The upper end of the interval is the sample mean added to M. So it is 171 + 49 = 220 ppm

The 98% confidence interval for the mean magnesium ion concentration is between 122 ppm and 220 ppm. As the lower bound of the interval is below 195, it is not reasonable to conclude that the mean magnesium ion concentration may be greater than 195

Need help with linear function

Answers

Answer:

y = 1/2x + 2

Step-by-step explanation:

The correct choice is the first one

433.54 in terms of pi​

Answers

Answer:

138.0700636942675[tex]\pi[/tex]

Step-by-step explanation:

7.5667004391


Is the answer


433.54 x π/180.

which ratio represents the probability of taking a red apple from a bag containing 8 red apples, 4 yellow apples, and 3 green apples?

Answers

Answer:

8:15

or 8/15

Step-by-step explanation:

8 out of 15

Answer:

8:15

Step-by-step explanation:

There are 8 red apples and total of 15 apples

Calculate the exact value of cos(a−b) given that sin a=12/13 with π/2

Answers

Answer:

Step-by-step explanation:

[tex]sin ~a=\frac{12}{13} ,\frac{\pi}{2} <a<\pi\\a ~is~in~2nd~quadrant.\\sin~b=\frac{3}{5} ,0<b<\frac{\pi}{2} \\b~is~in~1st~quadrant.\\cos~b=\sqrt{1-sin ^2b} \\=\sqrt{1-(\frac{3}{5} )^2} \\=\sqrt{\frac{25-9}{25} } \\=\sqrt{\frac{16}{25} } \\=\frac{4}{5} ,\\cos~a=-\sqrt{1-sin^2 a} \\=-\sqrt{1-(\frac{12}{13} )^2} \\=-\sqrt{\frac{169-144}{169} } \\=-\sqrt{\frac{25}{169} } \\=-\frac{5}{13} \\cos(a-b)=cos~acos~b+sin~a sin~b\\=\frac{-5}{13}* \frac{4}{5} +\frac{12}{13}* \frac{3}{5} \\=?[/tex]

Rewrite each if the following division problems as a multiplication problem.

a. 24/3 = 8
b. 336/8 = x

Answers

9514 1404 393

Answer:

  a.  24 = 8·3

  b.  336 = 8·x

Step-by-step explanation:

A division equation can be rewritten as a multiplication equation by multiplying both sides by the denominator (divisor).

  a/b = c   ⇔   a = bc

__

a.  24/3 = 8   ⇒   24 = 3·8

b.  336/8 = x   ⇒   336 = 8x

In the year 2003, a person bought a new car for $25000. For each consecutive year
after that, the value of the car depreciated by 12%. How much would the car be worth
in the year 2006, to the nearest hundred dollars?

Answers

Step-by-step explanation:

multiply 25000×12/10

and 2003-2006 is 3 years

next steps are in the attached pic

Answer:

$17000

Step-by-step explanation:

Given

Initial value PV = $25000Depreciation rate r = 12% per yearTime t = 2006 - 2003 = 3 yearsFV = ?

Required formula and solution

FV = PV*(1 - r)^tFV = 25000*(1 - 0.12)^3 = $17036.80 ≈ $17000 (rounded)

Simplify and write answer in standard form.

Answers

Step-by-step explanation:

2x^3 - 10x^2 + 8x -3

hope this helps

In the image above x=4 cm and y=8 cm. Find the surface area of the figure. (Note: Figure is not to scale.)

Answers

Answer:

96

Step-by-step explanation:

4×8×3=96 is the surface area

What is the probability of picking any color balloon except for red at random to the nearest hundredth? A) 0.81 B) 0.82 0 0.83 D) 0.84​

Answers

Answer:

below

Step-by-step explanation:

first count them up

17

divide it by 16 its d

The probability of picking any color balloon except for red at random is 82%.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

We have,

Red balloon = 3

Blue balloon = 2

Pink balloon = 2

Green balloon = 2

Orange balloon = 2

light Blue = 1

Yellow balloon = 2

Purple balloon = 2

So, the probability of picking any color balloon except for red at random

= 13/ 16 x 100

= 81.25 %

Thus, the required percentage is 82%.

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A speaker is in the shape of a cube with an edge length of 3.5 inches. The speaker is sold in a package in the shape of
square prism with a base area of 16 square inches and a height of 4 25 inches
Part B What is the surface area, in square inches, of the package?

Answers

Answer:

I think it would be 6800 square in because you just have to multiply 16 by 425.... Sorry if it is wrong

Step-by-step explanation:

Joe has read 80% of a book. He has 6 more pages to finish. How many pages are there in the book?​

Answers

Answer:

30 pages in this book

Step-by-step explanation:

20% is equal 6 pages

so 80% is equal (80/20)*6+6=30

-3 < 5 true or false

Answers

Answer:

true

Step-by-step explanation:

Answer:

true?

Step-by-step explanation:

PLEASE ANY REAL PERSON WHO CAN HELP ME IVE BEEN WAITING LIKE 30 MINUTES

Answers

Answer:

y = ½x + 8

Step-by-step explanation:

The equation of the function can be written in the slope-intercept form y = mx + b.

m = slope = change in y/change in x

b = y-intercept = the value of y when x is zero

✔️From the table, when x = 0, y is 8.

Therefore,

y-intecept (b) = 8

✔️Find the slope (m) using two of the given pairs of values from the table, (-4, 6) and (2, 9):

m = (9 - 6)/(2 -(-4))

m = 3/6

m = ½

✔️Next is to plug in the values of m and b into y = mx + b.

Thus:

y = ½x + 8

A box in the shape of a rectangular prism has the dimensions shown. What is the length of the interior diagonal of the box? Round to the nearest hundredth. Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

44

How do u convert kilometres into minutes
Example 0.8kilometer what till ut b in minutes woukd u times by 70

Answers

Answer:

It is not possible

Step-by-step explanation:

Given

0.8km

Required

Convert to minutes

In conversion, only units of the same metric can be converted.

i.e.

You can convert meters to miles (they both measure distance)

You can convert seconds to hours (they both measure time)

You can convert kilogram to pounds (they both measure weight)

But in the given question, you attempt to convert from distance to time.

This is not possible, because time and distance are different measurements

a. find the area

b. find the perimeter​

Answers

Answer:

Area= 4y^2 + 14y + 12

Perimeter = 10y + 16

Step-by-step explanation:

Area of a reactangle = length × width

= (4y+6) × (y+2)

= 4y^2 + 6y + 8y + 12

= 4y^2 + 14y + 12

Perimeter of a rectangle = 2 × (a +b)

= 2 × ( 4y + 6 + y+ 2)

= 2 × ( 5y + 8)

= 10y + 16

Jason bought 12 new CDs to add to his
collection. The next day, his baby
brother went into his room and
scratched half of his CDs. He now only
has 56 working CDs left. How many
CDs did Jason start with?

Answers

Answer:

He had origanlly had 68 altogether

Step-by-step explanation:

Because if u count the scrateched ones which was 6 is now 62 then add the other six because there was 12 and his brother scrateched half which is basically 12 / 2 = 6 so if u add the six is 68

What Im basically saying is 56 + 12 = 68

Which equation has a slope of –2 and passes through the point (5, 0)?
A. y = 2x + 5
B. y = 2x + 10
C. y = –2x + 5
D. y = –2x + 10

Answers

Answer:

D. y = –2x + 10  

Step-by-step explanation:

1) First, write the equation of the line in point-slope form with the given information. Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] and substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].  

Since [tex]m[/tex] represents the slope, substitute -2 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, substitute the x and y values of (5,0) into the formula as well. This gives the following equation:

[tex]y - 0 = -2(x-5)\\y = -2(x-5)[/tex]

2) Expand the right side of the equation to find the answer:

[tex]y = -2(x-5)\\y = -2x+10[/tex]

So, option D is correct.

escribe en forma de potencia y encuentra el valor

((-9)²)³​

Answers

Answer:

Step-by-step explanation:

Answer:

531441

Step-by-step explanation:

using multiplicative law of indices

2 by 3 Is 6

so, -9⁶=531441

4b + 8c + 12 – 8b – 2c + 6.

Answers

The answer to the question is -4b+6c+18

A 51 foot ladder is set against the side of a house so that it reaches up 45 feet. If Nora
grabs the ladder at its base and pulls it 6 feet farther from the house, how far up the
side of the house will the ladder reach now? (The answer is not 39 ft.) Round to the
nearest tenth of a foot.

Answers

Answer:

a=41.2

Step-by-step explanation:

a^2 + (30)^2. =51^2

a^2+900=2601

-900. -900

a^2= +\- square root 1701

a=41.243181

a=41.2

can someone please help me

Answers

Answer:

B

Step-by-step explanation:

minimum = 1

first quartile = 12

median = 6

third quartile = 16

maximum = 19

HELP PLEASEEEEEE I WILL GIVE YOU BRAINLIEST

Answers

Answer:

Step-by-step explanation:

so brh

[need math help] Study buddies part #2

Answers

Answer:

Part A) The distance between Whitney's house and Anh's house is 6.5 miles.

Part B) The total distance traveled by Whitney during the trip was 9.5 miles.

Step-by-step explanation:

Part A)

Notice that during Whitney's journey to Anh's house, her velocity was negative for some time. So, Whitney was travelling backwards. Hence, the total distance Whitney traveled will be greater than the actual distance from Whitney's house to Anh's.

So, instead, we can calculate Whitney's total displacement. Total displacement is given by:

[tex]\displaystyle \text{Displacement}=\int_a^bv(t)\, dt[/tex]

Where v(t) is the velocity function.

So, the displacement of Whitney when she traveled from her house to Anh's house will be:

[tex]\displaystyle \text{Displacement}=\int_0^{24}v(t)\, dt[/tex]

To calculate the integral, we can split it off at t = 11, t = 16, and t = 24.

The three regions represent three geometric figures, which we can use to calculate the area and then find the integral. Rewriting:

[tex]\displaystyle \text{Displacement}=\int_0^{11}v(t)\, dt+\int_{11}^{16}v(t)\, dt+\int_{16}^{24}v(t)\, dt[/tex]

Now, we can calculate the area of each figure.

The first figure is a trapezoid with a height of 0.8 and two bases of 11 and 3. So, its area is:

[tex]\displaystyle A_1=\frac{1}{2}(0.8)(11+3)=5.6\text{ miles}[/tex]

The second figure is a triangle with a height of 0.6 and a base of 5. So, its area is:

[tex]\displaystyle A_2=\frac{1}{2}(0.6)(5)=1.5\text{ miles}[/tex]

Lastly, the third figure is another triangle will a height of 0.6 and a base of 8. So, its area is:

[tex]\displaystyle A_3=\frac{1}{2}(0.6)(8)=2.4\text{ miles}[/tex]

However, notice that the second figure is below the x-axis. During that interval, Whitney was traveling backwards. Hence, we will subtract the second area from the rest of the areas.

Then the displacement will be:

[tex]\displaystyle \text{Displacement}=5.6-1.5+2.4=6.5\text{ miles}[/tex]

So, the distance between Whitney's house and Anh's house is 6.5 miles.

Part B)

The total distance differs from displacement in that it includes all the distances in both directions. It is given by:

[tex]\displaystyle \text{Distance}=\int_a^b|v(t)|\, dt[/tex]

In other words, all of our values are now positive. We will utilize the same strategy:

[tex]\displaystyle \text{Distance}=\int_0^{11}|v(t)|\, dt+\int_{11}^{16}|v(t)|\, dt+\int_{16}^{24}|v(t)|\, dt[/tex]

Substitute. The only difference is that we will add 1.5 instead of subtracting it. So:

[tex]\displaystyle \text{Distance} =5.6+1.5+2.4=9.5[/tex]

Therefore, in this instance, Whitney traveled a total of 9.5 miles to get to Anh's house.

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