Which equation, when solved, results in a different value of x than the other three?

Answer:

13 and 4

Step-by-step explanation:

Use the quadratic formula for this one, or you could just plug it into an online calculator like the one at www.symbolab.com if you wanted to check your answer...

You could also factor it to (x - 13)(x -4) and set each side equal to zero!

Hopefully this helps- let me know if you have any questions!

Answer:

the zeros are 13 and 4

Step-by-step explanation:

hope this helped! :D

Answer:

5 cases

Step-by-step explanation:

you'll need at least five cases to fulfill the requirement of 60

Answer:

5 cases are needed

Step-by-step explanation:

The required solution is as follows,
(a) The ratio of all flowers in the vase daisies is 14: 9
(b) The ratio of daisies to roses 9:5

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Here,

Number of daises in vase = 14 - 5 = 9

(a) The ratio of all flowers in the vase daisies,
= 14 / 9 or 14:9

(a) The ratio of daisies to roses,
= 9 / 5 or 9 : 5

Thus, the required ratio of flowers is given above.

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Answer:

3/4= .75 3/16= .0625 .

Step-by-step explanation:

3/4 =.75 3/16 = .1875

.75/.1875 = 4

Answer:

  f(x +h) = 4x² +4h² +8xh +5x +5h +3

  (f(x+h) -f(x))/h = 4h +8x +5

  f'(x) = 8x +5

Step-by-step explanation:

For f(x) = 4x² +5x +3, you want the simplified expression f(x+h), the difference quotient (f(x+h) -f(x))/h, and the value of that at h=0.

Put (x+h) where h is in the function, and simplify:

  f(x+h) = 4(x+h)² +5(x+h) +3

  = 4(x² +2xh +h²) +5x +5h +3

  f(x +h) = 4x² +4h² +8xh +5x +5h +3

The difference quotient is ...

  (f(x+h) -f(x))/h = ((4x² +4h² +8xh +5x +5h +3) - (4x² +5x +3))/h

  = (4h² +8xh +5h)/h

  (f(x+h) -f(x))/h = 4h +8x +5

When h=0, the value of this is ...

  f'(x) = 4·0 +8x +5

  f'(x) = 8x +5

__

Additional comment

Technically, the difference quotient is undefined at h=0, because h is in the denominator, and we cannot divide by 0. The limit as h→0 will be the value of the simplified rational expression that has h canceled from every term of the difference. This will always be the case for difference quotients for polynomial functions.

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The coefficient of the given expression is 10.

Important information:

In the product of a constant and a variable, the constant term is known as the coefficient of the variable term.

In the given expression 10a is the product of a constant and a variable. So, 10 is the coefficient.

4 is a constant.

Therefore, the coefficient of the given expression is 10.

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By definition of linear independence, the vectors in the set {a, b, c} are independent if

\(k_1\vec a+k_2\vec b+k_3\vec c=\vec0\)

can only be obtained with the choice of k₁ = k₂ = k₃ = 0.

This vector equation corresponds to the system of linear equations

\(\begin{cases}k_1 - 2k_3 = 0 \\ 2k_1 + k_2 = 0 \\ k_1 + 2k_3 = 0\end{cases}\)

The first equation says k₁ = 2 k₃, while the third one says k₁ = -2 k₃. This can only be possible if k₁ = k₃ = 0, and from the second equation it follows that k₂ = 0. So the given set is linearly independent (and *not* dependent).

Answer:

12

Step-by-step explanation:

Let the required number be x

\( \frac{9}{4} \times x = 27 \\ \\ x = 27 \times \frac{4}{9} \\ \\ x = 3 \times 4 \\ \\ x = 12\)

Answer:

I think 12 is the answer...

Step-by-step explanation:

27/1 divided by 4/9 (Multiply by the recipricol).

27/1 multiplied by 9/4 (Cross multiply/Use the butterfly method).

= 12/1 or 12

I hope this helps.

Answer:

Probability isn't my strong subject, so please review carefully.

Step-by-step explanation:

The possible numbers:

Number  Count    Probability    Chance

    1              2               2/5           40%

    3              1               1/5             20%

    5             2               2/5            40%

Sum             5                  1             100% [chance you'll get any number]

The probability of getting the number 1 is 2/5 or 40% on the first draw.  The probability of getting 6 1's in 10 draws is:

\((2/5)^{10}\) = 0.0001049

Try it to determine the experimental probability.  After 10,000 tries you should have at least one success.

Answer:

48 1/4

Step-by-step explanation:

plug in the values of m,n,p

4*7+23+2/8-3

= 28+23+1/4-3

= 28+23-3+1/4

= 28+20+1/4

= 48 1/4

The maximum distance between the earth and the satellite orbit with an elliptical orbit is 520 km.

In the question, we are given that a satellite orbits the Earth with an elliptical orbit modeled by x squared over 47 million four hundred seventy two thousand one hundred plus y squared over forty four million two hundred twenty two thousand five hundred equals 1, where the distances are measured in km. The Earth shares the same center as the orbit.

We are asked to find the maximum distance between the satellite and the Earth if the radius of the Earth is 6,370 km.

Given elliptical form is:

x²/47,472,100 + y²/44,222,500 = 1,

or, x²/6,890² + y²/6,650² = 1.

The radius of the Earth, R = 6,370 km.

We know that the standard elliptical form is:

(x - h)²/a² + (y - k)²/b² = 1, Where, in a horizontal ellipse;

a = The major axis (the longer axis), which gives the maximum distance between the satellite and Earth.

b = The minor axis (the shorter axis).

On comparing the given elliptical form to the standard elliptical form, we get a = 6,890.

The distance between the satellite and the surface of the Earth, d, is given as follows:

d = a - R

Which gives;

d = 6,890 km - 6,370 km = 520 km.

Thus, the maximum distance between the earth and the satellite orbit with an elliptical orbit is 520 km.

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Answer:

\(\frac{8}{x}\)

Step-by-step explanation:

what is the sum 3/x+9+5/x-9

\(\frac{3}{x} + 9 + \frac{5}{x} - 9 =\)     (add \(\frac{3}{x}\) and \(\frac{5}{x}\))

\(\frac{8}{x} + 9 - 9 =\)            (solve 9 - 9 = 0)

\(\frac{8}{x}\)                           ( your answer)

Answer: t = 1000/x + 2500/(x-5)

Therefore , the solution of the problem of expression comes out to be

9.12 x 10 ^-2.

An algebraic expression must be checked via replacing each variable with a number and performing arithmetic operations. In the example above, the answer variable is comparable to 6, since 6 + 6 equal 12. If we know the values of the variables, we can replace them with those values and evaluate the expression.

Here,

Given : 0.0912 in scientific notation

=> 9.12 /100

By using scientific notation

=> 9.12 × 10^-2

=> 9.12 x 10 ^-2

So, we get 9.12 x 10 ^-2 as the scientific notation for the given expression

Therefore , the solution of the problem of expression comes out to be

9.12 x 10 ^-2.

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A) The type of triangles are congruent triangles

B) By the use of SAS Congruency Postulate

C) The distance across for the sink hole is: 52.2 ft

D) The perimeter of triangle ABC is: 172.2 feet.

A) Congruent triangles are defined as the triangles created because of the phrasing "you recreate the same triangle" mentioned in the instructions. Congruent triangles are basically identical carbon copies of each other.

B) If we knew the measure of angle ACB, and then mad use of it to form angle ECD, then we would have enough information to know that triangle ACB was congruent to triangle ECD. Therefore, it would be useful to do the SAS (side angle side) congruence rule.

C) We know that:

AB = ED = 52.2

AB is the distance across the sink hole. Thus, it is 52.2 feet

D) AB = 52.2

BC = 70

AC = 50

Thus:

Perimeter of triangle ABC = AB + BC + AC

Perimeter of triangle ABC = 52.2 + 70 + 50

Perimeter of triangle ABC = 122.2 + 50

Perimeter of triangle ABC = 172.2

The perimeter of triangle ABC is 172.2 feet.

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Answer:

Step-by-step expA) The type of triangles are congruent triangles

B) By the use of SAS Congruency Postulate

C) The distance across for the sink hole is: 52.2 ft

D) The perimeter of triangle ABC is: 172.2 feet.

How to solve congruent triangles?

A) Congruent triangles are defined as the triangles created because of the phrasing "you recreate the same triangle" mentioned in the instructions. Congruent triangles are basically identical carbon copies of each other.

B) If we knew the measure of angle ACB, and then mad use of it to form angle ECD, then we would have enough information to know that triangle ACB was congruent to triangle ECD. Therefore, it would be useful to do the SAS (side angle side) congruence rule.

C) We know that:

AB = ED = 52.2

AB is the distance across the sink hole. Thus, it is 52.2 feet

D) AB = 52.2

BC = 70

AC = 50

Thus:

Perimeter of triangle ABC = AB + BC + AC

Perimeter of triangle ABC = 52.2 + 70 + 50

Perimeter of triangle ABC = 122.2 + 50

Perimeter of triangle ABC = 172.2

The perimeter of triangle ABC is 172.2 feet.

lanation:

The drop down menu is used to match each situation as below.

1. The rocket reached its maximum  the x-value of the vertex

height in 5 s.

2. ground level                                    the y-intercept

3. The rocket launcher was                the y-value of the point containing

on the ground.                                     the x-intercept on the right

4. The rocket was in the air 10           the x-intercept on the right                                                                                    

5. The maximum height of the           the y-value of the vertex

rocket is 50 ft.

6. the time the rocket was                the x-value of the point containing the

launched                                          y-intercept

The key features of the curve such as the x intercept is the point the launcher and the rocket were on ground.

The vertex is the point the rocket had the maximum and height.

Generally, the curve traces a parabolic path

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Answer:

C) Quadrant 4

Step-by-step explanation:

Hope this helps! Pls give brainliest!

394 subscribers are represented in the venn diagram.

Venn diagrams are charts that are used to visually represent relationships between sets, operations on those relationships, and set relationships. The Venn diagram, which uses circles that are overlapped, intersected, and not intersected to depict the relationship between sets, was created by John Venn. A set diagram or a logic diagram is another name for a Venn diagram, which shows a variety of set operations such the intersection, union, and difference of sets.

Additionally, it can be used to set items. a depiction of each relationship between several sets. Any closed figure, such as a circle or a polygon (square, hexagon, etc.), can be used to represent a Venn diagram. However, each group is typically represented as a circle.

according to the venn diagram

196+41+21+52+84 = 394

There are 394 subscribers

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Answer:

------------------

Simplify in below steps:

When the former image is rotated, the dots will be located at section 2 and 7.

When an image is rotated, the constituents within it also changes its position as the object is moves from a point to another about a pivot junction.

From the given image above, after the rotation of the initial image, the dot should be located at number 2 and 7 of the new image.

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Step-by-step explanation:

See picture above for solution.

Hi!

"the sum of a number n and 4" - sum means adding, therefore it would be:

\(n+4\)

Now, "7 times" - times would be multiplication, therefore it would be:

\(7(n+4)\)

---------------------------------------------------------------------------------------------

Notice there are parentheses ( ) around \(n+4\)We need this because it's 7 times the SUM, and if you do not have parentheses, by Order of Operations (PEMDAS), it would not be multiplying by the sum, it would multiply just 'n', and not the rest.

---------------------------------------------------------------------------------------------

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By using a statistical calculator, the actual sample mean and sample standard deviation are:

Actual sample mean = 46.1500.

Actual ample standard deviation = 8.6256.

In Mathematics and Geometry, the sample mean for any set of data can be calculated by using the following formula:

Mean = ∑x/(n - 1)

In Mathematics and Geometry, the sample standard deviation for any set of data can be calculated by using the following formula:

Standard deviation, δx = √(1/N × ∑(x - \(\bar{x}\))²)

By using a statistical calculator, the actual sample mean and sample standard deviation are as follows;

Actual sample mean = 46.1500.

Actual ample standard deviation = 8.6256.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The outlier of the graph is

An outlier is an isolated data point that significantly differs from the entirety of the points within a dataset. It is an observation that resides an exceptional distance away compared to other values in a random sample from a population.

Outliers can be identified employing various statistical techniques, like graphical methods (for instance, box plots, scatterplots) and numerical procedures (e.g., Z-score, IQR method).

The problem used a scatter plot plot to show that the outlier is (5, 1)

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The value of the square root of 7 is,

⇒ √7 = 2.645

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

WE have to given that;

To find the value of the square root of 7 .

Since, the square root of 7 is,

⇒ √ 7

⇒ 2.645

Thus, The value of the square root of 7 is,

⇒ √7 = 2.645

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Answer:

A

Step-by-step explanation:

ita a bc i know its I did this before

We have proved that the Newton-Raphson iteration formula for solving the equation\(x^k e^x = 0\) is given by \(x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n.\)

To prove that the Newton-Raphson method for solving the equation \(x^k e^x = 0\), where k is a constant, is given by the formula

\(x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n,\)

we can start by considering the iterative process of the Newton-Raphson method.

Given an initial guess \(x_n\), we want to find a better approximation \(x_{n+1}\)that is closer to the root of the equation \(x^k e^x = 0.\)

The Newton-Raphson method involves the following steps:

Calculate the function value \(f(x_n) = x_n^k e^x_n\) and its derivative \(f'(x_n) = k x_n^(k-1) e^x_n.\)

Find the next approximation x_{n+1} by using the formula:

\(x_{n+1} = x_n - f(x_n) / f'(x_n)\)

Let's apply these steps to our equation \(x^k e^x = 0\):

Calculate the function value and its derivative:

\(f(x_n) = x_n^k e^x_n\\f'(x_n) = k x_n^(k-1) e^x_n\)

Find the next approximation x_{n+1} using the formula:

\(x_{n+1} = x_n - f(x_n) / f'(x_n)\)

Substituting the function value and its derivative:

\(x_{n+1} = x_n - (x_n^k e^x_n) / (k x_n^(k-1) e^x_n)\\= x_n - (x_n^k / k)\)

Simplifying the expression by combining like terms:

\(x_{n+1} = x_n - (x_n^k / k)\\= x_n - x_n^k / k\\= (k - 1) x_n + x_n^2 / k + x_n\)

Therefore, we have proved that the Newton-Raphson iteration formula for solving the equation\(x^k e^x = 0\) is given by \(x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n.\)

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Answer:

A frequently-used procedure in algebra is the process of combining like terms. This is a way to "clean-up" an equation and make it much easier to solve. In case you've forgotten, a term is each single part of an expression. For example, in the expression 4x+3+7y 4 x + 3 + 7 y , there are three terms: 4x , 3 , and 7y .

=========================================================

Explanation:

Angle BFE is 117 degrees. The adjacent angle to this (angle BFA) is 180-117 = 63 degrees since the two angles form a straight line, and must add to 180.

Now because BD is parallel to AE, we know that the alternate interior angles BFA and FBD are the same measure. This makes angle FBD to be 63 degrees.

We're told that segment BF bisects angle ABD. That indicates the two smaller pieces (angles ABF and FBD) are the same measure. Both are 63 degrees in this case.

Let x be the measure of angle DBC. This angle will add to angles ABF and FBD to form a 180 degree straight angle

(angleABF) + (angleFBD) + (angleDBC) = 180

(63) + (63) + (x) = 180

x+126 = 180

x = 180-126

x = 54

Angle DBC is 54 degrees.

-----------------------

The last set of steps has us focus on triangle BCD. The three angles of any triangle always add to 180.

B+C+D = 180

54 + 85 + D = 180

139 + D = 180

D = 180-139

D = 41

Angle CDB is 41 degrees, and so is angle CEA as they are corresponding angles. Corresponding angles are congruent when we have parallel lines like this.

Therefore, angle E is 41 degrees.

The diagram is below showing all of the angles we found.