what is the value of x

14
15
16
17

Answer:

- 3/x-1

Step-by-step explanation:

Answer:

\(-\frac{3}{x-1}\)

Step-by-step explanation:

Factor the denominator and then combine fractions:

\(\frac{3}{(x-1)(x-2)} -\frac{3}{x-2}\)

Find LCM (Least Common Multiple) of denominators:

LCM of (x-1)(x-2) and x-2 is (x-1)(x-2)

Adjust fractions based on LCM:

\(\frac{3}{(x-1)(x-2)} -\frac{3(x-1)}{(x-2)(x-1)}\)

Denominators are now equal so you can subtract the fractions:

\(\frac{3-3(x-1)}{(x-1)(x-2)}\)

Factor the numerator:

\(\frac{3(-x+2)}{(x-1)(x-2)}\)

Cancel:

\(-\frac{3}{x-1}\)

The quantity of ribbon that Ali started with was 16/21 feet, based on the mathematical operation of addition.

The basic mathematical operations include addition, subtraction, division, and multiplication.

In the addition operation, two or more addends are added to obtain a result called the sum or total using the equation symbol (=) and the addition operand (+).

The quantity of ribbon attached to the rearview mirror = 2/7

The remaining quantity of ribbon after the attachment = 10/21

The quantity of ribbon Ali started with = 16/21 (2/7 + 10/21)

Thus, using the addition operation, we can conclude that Ali started with 16/21 feet of ribbon.

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Answer:

Below

Step-by-step explanation:

A)  Juan reads at   57 pages /hr

B)  Juan reads 9 pages more per hour (57-48) than Lexi

       in 7 hours this will be   7 hr * 9 p/hr = 63 pages

Answer: thats correct

Step-by-step explanation:

Answer:

9: 89°

Step-by-step explanation:

Inside of a triangle is 180, so 180-39-52=89

I'm sorry I can't answer 10 for you

Answer:

A

Step-by-step explanation:

The formula to find the perimeter of a rhombus is p=4a

and 4 times 1 2/3= 4 2/3

Answer:

Step-by-step explanation:

Let x be the random variable representing the force in kilograms (kg) applied to the tablet. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 11.5

σ = 0.2

1)/the probability that the process specifications call for applying a force between 11.2 and 12.2 kg is expressed as

P(11.2 ≤ x ≤ 12.2)

For x = 11.2,

z = (11.2 - 11.5)/0.2 = - 1.5

Looking at the normal distribution table, the probability corresponding to the z score is 0.0668

For x = 12.2

z = (12.2 - 11.5)/0.2 = 3.5

Looking at the normal distribution table, the probability corresponding to the z score is 0.9998

Therefore,

P(11.2 ≤ x ≤ 12.2) = 0.9998 - 0.0668 = 0.933

The percent of tablets are subject to a force that meets the specifications is

0.933 × 100 = 93.3%

ii) P(11.2 ≤ x ≤ 12.2)

For x = 11.2,

z = (11.2 - 11.7)/0.2 = - 2.5

Looking at the normal distribution table, the probability corresponding to the z score is 0.00621

For x = 12.2

z = (12.2 - 11.7)/0.2 = 2.5

Looking at the normal distribution table, the probability corresponding to the z score is 0.9938

Therefore,

P(11.2 ≤ x ≤ 12.2) = 0.9938 - 0.00621 = 0.988

The percent of tablets are subject to a force that meets the specifications is

0.988 × 100 = 98.8%

iii) for 25th percentile, the z score corresponding z score corresponding to the the probability value of 0.25 is - 0.675

Therefore,

- 0.675 = (x - 11.5)/0.2

0.2 × - 0.675 = x - 11.5

- 0.135 = x - 11.5

x = - 0.135 + 11.5

x = 11.4kg

for 75th percentile, the z score corresponding z score corresponding to the the probability value of 0.75 is 0.675

Therefore,

0.675 = (x - 11.5)/0.2

0.2 × - 0.675 = x - 11.5

0.135 = x - 11.5

x = 0.135 + 11.5

x = 11.6kg

Answer:

1/4

Step-by-step explanation:

magik

Answer: D (-∞, ³⁄₂)

1. Find non - negative values for radicals. x ≤ ³⁄₂

2. Find undefined (singularity) points. x = ³⁄₂

3. Combine real regions and undefined points for final domain.

Final answer: x < ³⁄₂

Answer:

Step-by-step explanation:

cos A = \(\frac{\sqrt{8} }{3}\)

Answer:

-3x + 2

Step-by-step explanation:

(5x + 4) + (-8x - 2)

= 5x + 4 -8x - 2

combine like terms

-3x + 2

The equation of p(x) in vertex form is;

p(x) = 9.67(x + 1.04)² - 10.25

The closest answer choice is:

p(x) = 3(x - 1)²  - 2, which is not correct.

In the context of a quadratic function, the vertex is the highest or lowest point on the graph of the function. It is the point where the parabola changes direction. The vertex is also the point where the axis of symmetry intersects the parabola.

To find the vertex form of the quadratic function p(x), we need to first find the vertex, which is the point where the function reaches its maximum or minimum value.

To find the vertex, we can use the formula:

x = -b/2a, where a is the coefficient of the x²  term, b is the coefficient of the x term, and c is the constant term.

Using the table, we can see that the highest value of p(x) occurs at x = 5, and the value is 46.

We can then use the formula to find the vertex:

x = -b/2a = -5/2a

Using the values from the table, we can set up two equations:

46 = a(5)² + b(5) + c

1 = a(0)²  + b(0) + c

Simplifying the second equation, we get:

1 = c

Substituting c = 1 into the first equation and solving for a and b, we get:

46 = 25a + 5b + 1

-20 = 5a + b

Solving for b, we get:

b = -20 - 5a

Substituting b = -20 - 5a into the first equation and solving for a, we get:

46 = 25a + 5(-20 - 5a) + 1

46 = 15a - 99

145 = 15a

a = 9.67

Substituting a = 9.67 and c = 1 into b = -20 - 5a, we get:

b = -20 - 5(9.67) = -71.35

Therefore, the equation of p(x) in vertex form is:

p(x) = 9.67(x - 5)²  + 1

Simplifying, we get:

p(x) = 9.67(x²  - 10x + 25) + 1

p(x) = 9.67x²  - 96.7x + 250.85 + 1

p(x) = 9.67x²  - 96.7x + 251.85

Rounding to the nearest hundredth, we get:

p(x) = 9.67(x - 5²  + 1 = 9.67(x + 1.04)²  - 10.25

Therefore, the answer is:

p(x) = 9.67(x + 1.04)² - 10.25

The closest answer choice is:

p(x) = 3(x - 1)²  - 2, which is not correct.

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The original dimensions of the piece of metal were 15 inches by 20 inches.

To solve this problem, we can use the given information to set up an equation. Let's assume that the width of the rectangular piece of metal is x inches. According to the problem, the length of the piece of metal is 5 inches longer than its width, so the length would be (x+5) inches.

When squares with sides 1 inch long are cut from the four corners, the width and length of the resulting box will be reduced by 2 inches each. Therefore, the width of the box will be (x-2) inches and the length will be ((x+5)-2) inches, which simplifies to (x+3) inches.

The height of the box will be 1 inch since the flaps are folded upward.
Now, let's calculate the volume of the box using the formula Volume = length * width * height.

Substituting the values, we have:

234 = (x+3)(x-2)(1)

Simplifying the equation, we get:

234 = x^2 + x - 6

Rearranging the equation, we have:

x^2 + x - 240 = 0

Now, we can solve this quadratic equation either by factoring or by using the quadratic formula. Let's use factoring to find the values of x.

Factoring the equation, we have:
(x+16)(x-15) = 0
Setting each factor equal to zero, we get:
x+16 = 0 or x-15 = 0
Solving for x, we have:
x = -16 or x = 15
Since the width cannot be negative, we take x = 15 as the valid solution.
Therefore, the original dimensions of the piece of metal were 15 inches in width and (15+5) = 20 inches in length.

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Answer:

Step-by-step explanation:

exact form: x=63/5

Answer:

Either the variable or unknown number, it depends on what options you have.

The value of vertical asymptotes is, x = 9

And, The value of Horizontal asymptotes is,

y = - 4

We have to given that;

Expression is,

⇒ j (x) = 1/(x - 9) - 4

Now, We can simplify as,

⇒ j (x) = 1/(x - 9) - 4

⇒ j (x) = (1 - 4(x - 9)] / (x - 9)

⇒ j (x) = [1 - 4x + 36] / (x - 9)

⇒ j (x) = (- 4x + 37) / (x - 9)

Hence, For vertical asymptotes make denominator zero.

As, x - 9 = 0

x = 9

And, Here degree of numerator and denominator both are one.

Hence, Horizontal asymptotes is,

y = - 4 / 1

y = - 4

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Answer:

Step-by-step explanation:

Answer:

No, not right or a triangle lol

Step-by-step explanation:

This is not a triangle.

5+6=11, it has to be greater :)

your triangle is a straight line.

:]

The  number of 50¢ coins is 200, number of  25¢ coins is 360

and number of  10¢ coins is 160.

The quantitative relation between two or more amounts showing the number of times one value is contains or contained within other.

Now the given ratio is 5 : 9 : 4.

and total amount of the coins is $206.

There are three types of coins in the bag, 50¢, 25¢ and 10¢.

Suppose x be the the ratio of coins in the bag.

Hence, number of  50¢ coins = 5x

number of  25¢ coins = 9x

number of  10¢ coins = 4x

Now, given total amount = $206

and since $1 = 100¢

⇒ ($0.5)(5x) + ($0.25)(9x) + ($0.1)(4x) ¢ = $206

Solving them,

⇒ 2.5x + 2.25x + 0.4x = 206

⇒ 5.15x = 206

⇒ x = 40

Therefore,

number of  50¢ coins = 5*40 = 200

number of  25¢ coins = 9*40 =  360

number of  10¢ coins = 4*40 =  160

Hence, number of 50¢ coins is 200, number of  25¢ coins is 360

and number of  10¢ coins is 160.

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The expressions 1 and 4 are having values less than 1.

Given are the expressions, we need to solve them,

1) -7 · 1/2 - 4

= -7/2-4

= -7-8 / 2

= -15/2

= -7.5 < 1

2) -7 · (1/2 - 4)

= -7 · -7/2

= 49/2

= 24.5 > 1

3) -7 · 1/2 · (- 4)

= -14/2 · (- 4)

= 56/2

= 28 > 1

4) -7 + 1/2 · (- 4)

= -7 -4/2

= -7 -2

= -9 < 1

5) -7 ÷ 1/2 · (- 4)

= -7 × 2 × -4

= -14 × -4

= 56 > 1

Hence, the expressions 1 and 4 are having values less than 1.

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\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)

\(\qquad \tt \rightarrow \: 36 + 23 i\)

____________________________________

\( \large \tt Solution \: : \)

\(\qquad \tt \rightarrow \: (3 + 8i)(4 - 3i)\)

\(\qquad \tt \rightarrow \: (3 \sdot 4)+ (3 \sdot - 3i) + (8i \sdot4) + (8i \sdot - 3i)\)

\(\qquad \tt \rightarrow \: 12 - 9i + 32i - (24 {i}^{2} )\)

\(\qquad \tt \rightarrow \: 12 + 23i -( 24 \sdot - 1)\)

\(\qquad \tt \rightarrow \: 12 + 23i + 24\)

\(\qquad \tt \rightarrow \: 36 + 23i\)

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

\(\Large\maltese\underline{\textsf{A. What is Asked \space}}\)

Perform the indicated operation and write the answer with the form a+bi.

2 numbers given, one of which is complex

\(\Large\maltese\underline{\textsf{B. This problem has been solved!\space\space}}\)

Multiply these two numbers, just like you always multiply binomials.

\(\bf{(3+8i)(4-3i)}\) | multiply

\(\bf{3\times4+3\times(-3i)+8i\times4+8i\times(-3i)}\) | simplify

\(\bf{12-9i+32i-24i^2}\) | this can be simplified A LOT

\(\bf{12+23i-24i^2}\)  | as strange as it may seem, this can be simplified even  more, because isn't i^2 the same as -1?

\(\bf{12+23i-24\times(-1)}=12+23i+24}\) | add 12 and 24

\(\bf{36+23i}\)

\(\rule{300}{1.7}\)

\(\bf{Result:}\)

                     \(\bf{=36+23i}\). The answer is written in the form a+bi, as requested.

\(\boxed{\bf{aesthetic\not101}}\)

Answer:

12 Twelfths (12/10)

Step-by-step explanation:

If the dinosaur ate 10 twelfths, then ate 2 twelfths, you need too add that up.

10/12 + 2/12 = 12/10.

The dinosaur ate 12/10 of a plant. (6/5 if needed to simplify)

Hope this helps!

Answer:

0/12

Step-by-step explanation:

The answer is 0/12. We know this because if there are twelve twelfths [12/12] of a plant and the stegosaurus eats ten twelfths [10/12] of a plant then it is 12 - 10 or the fraction form [12/12 - 10/12] then we subtract and we get the answer [2/12]. And then later it says the stegosaurus ate two twelfths [2/12] of a plant then we subtract 2 - 12 or [2/12 - 2/12] that would then equal 0/12.          

Answer: 2 1/4

Step-by-step explanation:

Answer:

The sample size 'n' = 26

Step-by-step explanation:

Explanation:-

Given a researcher wishes to estimate within $5 the average repair cost of for a refrigerator

Given estimate "E" = $5

The  estimate within  the average is determined by

                \(E = \frac{Z_{0.10}S.D }{\sqrt{n} }\)

 Level of significance    ∝ = 90 % or 10%

                                            = 0.90 or o.10

Z₀.₁₀ = 1.645

                                 \(E = \frac{Z_{0.10}S.D }{\sqrt{n} }\)

                             \(5 = \frac{1.645 X15.50 }{\sqrt{n} }\)

                        √n =  \(\frac{25.49}{5} = 5.099\)

Squaring on both sides , we get

                        n = 26

Conclusion:-

The sample size 'n' = 26

Answer:

3.8

Step-by-step explanation:

3 8/10 can be written as 3.xx because all we have to do is 8 divided by 10 which equals .8 so 3+.8=3.8

The speed of the plane is equal to 120 mph.

In Mathematics and Geometry, speed is the distance covered by a physical object per unit of time. This ultimately implies that, speed can be measured by using miles per hour (mph).

Mathematically, the speed of any a physical object can be calculated by using this formula;

Speed = distance/time

Time = distance/speed

Let the variable s represent the speed of the plane in miles per hour. Therefore, an equation that models the situation can be written as follows;

240/s = 80/s - 80

80s = 240s - 19200

19200 = 160s

s = 19200/160

s = 120 mph.

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Answer:2^1 × 3^2 × 13^1

Step-by-step explanation:

All of the given options are valid ways to earn money in Microworkers, except for submitting a review for a service you have not used. The correct option is "Submitting a review for a service you have not used."

Testing an app, translating a document, and data mining for a gardening company are all tasks that can be completed for compensation through the Microworkers platform.

However, submitting a review for a service you have not used is considered fraudulent and goes against the principles of the Microworkers community. It is important to maintain ethical practices when completing tasks for compensation in order to preserve the integrity of the platform. Therefore, "Submitting a review for a service you have not used." option is correct.

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The probable question may be:

All of these are valid ways to earn money in Microworkers, except

Testing an app

Submitting a review for a service you have not used

Translating a document

Data Mining for a gardening company