What value of x makes 3(x + 4) = 3x + 4 true?

Answer: \({9}\frac{23}{90}\)

Step-by-step explanation:

Answer:

-0.33333333333 in other word it o.3 with line over 3

Step-by-step explanation:

Answer:

3,1,-2,5

Step-by-step explanation:

The range means the y number of the domain (x)

Answer:

Hi! The answer to your question is {3,1,-2,5)

Step-by-step explanation:

The Domain is a set of all the values of x. The Range is a set of all the values of y.

Hope this helps **™

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Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.

Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.

Given the equation x² + xy + y² = 5,

we can differentiate both sides with respect to x using the chain rule as follows:

2x + (x(dy/dx) + y) + 2y(dy/dx) = 0

Simplifying this equation yields:

(x + 2y)dy/dx = -(2x + y)

Hence, dy/dx = -(2x + y)/(x + 2y)

Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.

That is:

d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))

= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))

Simplifying this equation yields:

d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³

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Solution :

Given :

There are five cities in a network and the cost of \(\text{building}\) a road directly between \(i\) and \(j\)  is the entry \(a_{i,j}\)

\(a_{i,j}\)  refers to the matrix.

Road cannot be built because there is a mountain.

The given matrix :

\(\begin{bmatrix}0 & 3 & 5 & 11 & 9\\ 3 & 0 & 3 & 9 & 8\\ 5 & 3 & 0 & \infty & 10\\ 11 & 9 & \infty & 0 & 7\\ 9 & 8 & 10 & 7 & 0\end{bmatrix}\)

The matrix on the left above corresponds to the weighted graph on the right.

Using the \(\text{Kruskal's algorithm}\) we can select the cheapest edge that is not creating a cycle.

Starting with 2 edges of weight 3 and the edge of weight 5 is forbidden but the edge is 7  is available.

The edge of the weight 8 completes a minimum spanning tree and total weight 21.

If the edge of weight 8 had weight 10 then either of the edges of weight 9 could be chosen the complete the tree and in this case there could be 2 spanning trees with minimum value.

If the archaeologist found a fossil whose length is 489.44 inches, using the conversion table, the length in feet, to the nearest tenth, is 40.8 feet.

The conversion table refers to the tabulated standard units of measurement, showing temperature, length, area, volume, weight, and metric conversions

For instance, the conversion table shows that 12 inches equal 1 foot.

The length of the fossil = 489.44 inches

12 inches = 1 foot

489.44 inches = 40.8 feet (489.44 ÷ 12)

Thus, using the conversion table, which relies on multiplication or division operations using the conversion factors, the length in feet of the fossil is 40.8 feet.

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Group-B secured more marks than group-A by a margin of 20 marks

(i) To calculate the marks secured by group-A, we need to multiply the number of correct answers by the marks awarded for a correct answer and subtract the product of the number of incorrect answers and the penalty for each incorrect answer.

Group-A secured:

Marks = (Number of correct answers * Marks for correct answer) - (Number of incorrect answers * Penalty for incorrect answer)

      = (6 * 10) - (4 * 5)

      = 60 - 20

      = 40 marks

Therefore, group-A secured 40 marks.

(ii) For group-B, we need to consider the number of correct answers, incorrect answers, and unanswered questions to calculate the total marks.

Group-B secured:

Marks = (Number of correct answers * Marks for correct answer) - (Number of incorrect answers * Penalty for incorrect answer) + (Number of unanswered questions * Marks for not supplying answers)

      = (7 * 10) - (2 * 5) + (1 * 0)

      = 70 - 10 + 0

      = 60 marks

Hence, group-B secured 60 marks.

(iii) To determine which group secured more marks and by how many, we compare the marks obtained by group-A and group-B.

Group-A secured 40 marks, while group-B secured 60 marks.

The difference in marks secured by group-B compared to group-A is:

60 - 40 = 20 marks.

Therefore, group-B secured more marks than group-A by a margin of 20 marks.

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To achieve a comparable rate of return, Hank would need to earn an interest rate of approximately 0.86% per month, compounded monthly on his ordinary annuity.

To find the interest rate, compounded monthly, that Hank would need to earn on an ordinary annuity for a comparable rate of return, we can use the present value formula for an ordinary annuity.

First, let's calculate the present value of Hank's payments. He made payments of $219 per month for 30 years, so the total payments amount to $219 * 12 * 30 = $78840.

Now, we need to find the interest rate that would make this present value equal to the selling price of the property, which is $195,258.

Using the formula for the present value of an ordinary annuity, we have:

PV = P * (1 - (1+r)\(^{(-n)})\)/r,
where PV is the present value, P is the payment per period, r is the interest rate per period, and n is the number of periods.

Plugging in the values we have, we get:
$78840 = $219 * (1 - (1+r)\({(-360)}\))/r.

Solving this equation for r, we find that Hank would need to earn an interest rate of approximately 0.86% per month, compounded monthly, in order to have a comparable rate of return.

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Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.

In mathematics, the logarithm is the reciprocal of a power. As a result, the exponent by which b must be raised to achieve a number x matches its logarithm in base b. For example, because 1000 = 103, the base-10 logarithm is 3, or log10 = 3. For example, the base 10 logarithm of 10 is 2, but the square of 10 is 100. Log 100 = 2. A logarithm (or log) is the mathematical word used to answer questions such as how many times a base of 10 must be multiplied by itself to get 1,000. The answer is 3 (1,000 = 10 10 10).

When you compute (In), you are calculating the natural logarithm of 7, which is indicated as ln(7) or loge (7).

As a result, the expression you'd be looking up the value of is: ln(7) or loge (7).

Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.

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The answer  to the question is Non of the above.

The  formular for finding the area of a square is given as L x w

This is length x width

The question does not give us the length of the area and it also does not give us its width.

Hence the answer to the question is the last option.

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Answer:

The answer D is correct.

Step-by-step explanation:

-x + y = 8 ⇒ ( 1 )

7x + 3y = - 16 ⇒ ( 2 )

y = 8 + x ⇒ ( 3 )

Let us take equation 2 and let us replace y with (8+x).

Let us solve and find the value of x.

7x + 3y = -16

7x + 3 ( 8 + x ) = - 16

7x + 24 + 3x = -16

10x + 24 = -16

10x = -16 - 24

10x = -40

And now let us find the value of y.

For that, let us use equation (3)

Here, we have to replace x with -4 to find the value of y.

y = 8 + x

y = 8 - 4

Now we have to the answers in the form ( x , y )

Let us write.

( x , y ) ⇒ ( -4 , 4 )

Let me know if you have any other questions. :-)

Answer:

cosΘ = \(\frac{\sqrt{7} }{4}\)

Step-by-step explanation:

using the identity

sin²x + cos²x = 1 ( subtract sin²x from both sides )

cos²x = 1 - sin²x ( take square root of both sides )

cosx = ± \(\sqrt{1-sin^2x}\)

given

sinΘ = \(\frac{3}{4}\) , then

cosΘ = ± \(\sqrt{1-(\frac{3}{4})^2 }\)

         = ± \(\sqrt{1-\frac{9}{16} }\)

         = ± \(\sqrt{\frac{16}{16}-\frac{9}{16} }\)

         = ± \(\sqrt{\frac{7}{16} }\)

         = ± \(\frac{\sqrt{7} }{\sqrt{16} }\)

since Θ is in quadrant 1 , then cosΘ > 0

cosΘ = \(\frac{\sqrt{7} }{4}\)

Answer:

option 4 is correct

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If you start at (0,-4) and you move left 1 unit and right 4 units, you end at (3, -4)

From the question, we have the following parameters that can be used in our computation:

Start = (0, -4)

Also, we have

You move left 1 unit and right 4 units

Mathematically, this can be expressed as

(x, y) = (x - 1 + 4, y)

Substitute the known values in the above equation, so, we have the following representation

Endpoint = (0 - 1 + 4, -4)

Evaluate the expression

Endpoint = (3, -4)

Hence, the endpoint is (3, -4)

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Answer:

D) 48

Step-by-step explanation:

area = length x width x height

8 x 2 x 3

16 x 3 = 48

Answer:

-1/2 > x

Step-by-step explanation:

−2x − 4 > 8 x −6 x −2

Combine like terms

-2x -4 > 2x -2

Add 2x to each side

−2x+2x − 4 > 2x+2x −2

-4 > 4x-2

Add 2 to each side

-4 +2 > 4x -2 +2

-2 >4x

Divide each side by 4

-2/4 > 4x/4

-1/2 > x

No, the inference is not valid because it excluded those who were not online and so did not see the poll.

To improve the poll, the news show could have conducted it in a more representative manner by surveying a larger sample of people from a variety of backgrounds

The poll's results may have been influenced by various factors, including but not limited to the order in which the comedians were presented, the demographics of the respondents, and the fact that it was conducted online, possibly excluding those without internet access. Overall, the poll's representative accuracy is questionable.

To enhance the accuracy of the survey, the broadcast could have implemented a more inclusive method by polling a wider range of individuals from diverse backgrounds. An alternate method for conducting the poll would have been by personal or telephonic means, enabling individuals without internet connectivity to participate.

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To find the subtracted value, we need to calculate the multiplicative inverse of (4/3 - 4/9) and then subtract it from the sum of 7/12 and 7/8.

First, let's find the multiplicative inverse of (4/3 - 4/9):

Multiplicative inverse = 1 / (4/3 - 4/9)

To simplify the expression, we need a common denominator:

Multiplicative inverse = 1 / ((12/9) - (4/9))

= 1 / (8/9)

= 9/8

Now, we need to subtract the multiplicative inverse from the sum of 7/12 and 7/8:

Subtracted value = (7/12 + 7/8) - (9/8)

To perform this calculation, we need a common denominator:

Subtracted value = (7/12 * 2/2 + 7/8 * 3/3) - (9/8)

= (14/24 + 21/24) - (9/8)

= 35/24 - 9/8

To simplify further, we need a common denominator:

Subtracted value = (35/24 * 1/1) - (9/8 * 3/3)

= 35/24 - 27/24

= 8/24

= 1/3

Therefore, subtracting 1/3 from the sum of 7/12 and 7/8 will give you the multiplicative inverse of (4/3 - 4/9).

69.7

Step-by-step explanation:

627 ÷ 9

=69.66666666666666

approximately

69.7

\( \sf \leadsto627 \div 9\)

\( \\ \\ \)

\( \sf \leadsto \dfrac{627}{9} \)

\( \\ \\ \)

\( \sf \leadsto \dfrac{627 \div 3}{9 \div 3} \)

\( \\ \\ \)

\( \sf \leadsto \dfrac{209}{3} \)

\( \\ \\ \)

\( \sf \leadsto 69.67\)

Answer:

\((-1, -16)\)

Step-by-step explanation:

First, we can expand the right side of this equation.

\(y=(x + 5)(x-3)\)

\(y = x^2 -3x + 5x - 15\)

\(y = x^2 + 2x - 15\)

Then, we can move the 15 to the left side.

\(y + 15 = x^2 + 2x\)

Now, the equation is in a form where we can complete the square for x. Remember that anything we add to one side, we also have to add to the other side.

\(y + 15 + (2/2)^2 = x^2 + 2x + (2/2)^2\)

\(y + 16 = x^2 + 2x + 1\)

\(y + 16 = (x+1)^2\)

Finally, we can move the 16 to the right side.

\(\boxed{y = (x+1)^2 - 16}\)

The equation of the parabola is now in vertex form:

\(y = (x - h)^2 + k\),

where \((h,k)\) is the vertex of the parabola.

In the equation we just solved for (\(y = (x+1)^2 - 16\)), we can identify the following:

Therefore, the vertex of the parabola is:

\(\boxed{(-1, -16)}\)

Answer: $70.01

Step-by-step explanation:

$60.88 x .15 = $9.13

$60.88 + $9.13 = $70.01

Answer:

it a 90 degree angle hope this helps:)

Step-by-step explanation:

Let:

k = scale factor:

Solve for k:

answer:

200 times

Answer:

20%

Step-by-step explanation:

A=R^2

120/100

=1.2

1.2R= new value of R

original of R=R

A^1/2=R

change/origionalx100%

(1.2A^1/2-A^1/2)

-------------------- x 100%

A^1/2

A^1/2 (1.2-1)

--------------- x100%

A^1/2

0.2

---- x100

1

0.2x100

=20%

Step-by-step explanation: We may determine the range of potential further miles Charlie will run by deducting his present mileage from the maximum mileage if he has already run 17 miles and will only cover 35 miles this week.

Maximum mileage - current mileage = potential extra miles.

17 miles minus 35 miles equals 18 miles.

As a result, Charlie may run somewhere between 0 and 18 additional miles.

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Answer:

18 possible numbers

Step-by-step explanation:

If Charlie has already run 17 miles and he will run at most 35 miles this week.

We can calculate the possible numbers of additional miles he will run by subtracting the distance he has already run from the maximum distance he can run.

Maximum distance Charlie can run = 35 miles

Distance Charlie has already run = 17 miles

Possible additional miles he will run = Maximum distance - Distance already run

                              = 35 miles - 17 miles

                              = 18 miles

Therefore, there are 18 possible numbers of additional miles Charlie will run.

Determine the slope of the line.

The general equation of line is y = mx + C.

So family of equation of lines for inclination of 60 degree is,

Here C is y-intercept of the equation.

Answer is,

Answer:

4 and 1/2

Step-by-step explanation:

left side must be ewual to right side. after you substract 12x-4x you get 8x+2 on right side. you than find a number on the left side, whit which you have to multiply 2x to get 8x(same number as on the other side) and you get 4. lastly you have to find a number that gives you 2 when multiplied with 4 and it is 1/2