4x-16=9-x solve for x

Tutor answer 1603981404

Answer:

see in picture

...........

The component form of the vector can be calculated by finding the difference between the initial and the terminating points of the vector. Let us first find the difference between the x-coordinates and the y-coordinates of the points, then we will combine these differences to form the component form of the vector KL.

Let's first find the difference between the x-coordinates of the points. The x-coordinate of L is 7 and the x-coordinate of

K is 4, so the difference between the two is:

7 - 4 = 3

Now, let's find the difference between the y-coordinates of the points. The y-coordinate of L is -7 and the y-coordinate of K is -7 as well,

so the difference between the two is: -7 - (-7) = 0

Now that we have the differences between the x-coordinates and the y-coordinates,

we can form the component form of the vector KL,

which is: (3, 0)

Now, to find the length of the vector, we can use the formula:

|KL| = sqrt((x2 - x1)^2 + (y2 - y1)^2)

where x1,

y1 are the coordinates of the initial point K, and x2,

y2 are the coordinates of the terminating point L.

Substituting the given values into the formula,

we get:|KL| = sqrt((7 - 4)^2 + (-7 - (-7))^2) = sqrt(3^2 + 0^2) = sqrt(9) = 3

Therefore, the length of the vector KL is 3 units.

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The sum of the equation is  = 5494000.

The outcome of adding numbers or quantities mathematically is a summation, often known as a sum. A summation always has an even number of terms in it. There may be just two terms, or there may be 100, 1000, or even a million. Some summations include an infinite number of terms.

Distribute 2j to (j+3).

Rewrite the summation as the sum of two individual summations.

Evaluate each summation using properties or formulas from the lesson.

The lower index is 1, so any properties can be used.

The sum is 5,494,000.

\(\sum_{j=1}^{200} 2 j(j+3)\)

simplifying them we get:

\(\sum_{j=1}^{200} 2 j^{2}+6 j\)

Split the summation into smaller summations that fit the summation rules.

\(\sum_{j=1}^{200} 2 j^{2}+6 j=2 \sum_{j=1}^{200} j^{2}+6 \sum_{j=1}^{200} j\)

\(\text { Evaluate } 2 \sum_{j=1}^{200} j^{2}\)

The formula for the summation of a polynomial with degree 2

is:

\(\sum_{k=1}^{n} k^{2}=\frac{n(n+1)(2 n+1)}{6}\)

Substitute the values into the formula and make sure to multiply by the front term.

\((2)$$\left(\frac{200(200+1)(2 \cdot 200+1)}{6}\right)$$\)

we get: 5373400

Evaluating same as above : \(6 \sum_{j=1}^{200} j\)

we get: 120600

Add the results of the summations.

5373400 + 120600

= 5494000

The sum of the equation is  = 5494000.

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Answer:

4r-4

Step-by-step explanation:

im pretty sure very sure

Answer:

m = 68 - c

Step-by-step explanation:

It is given that Tegan needs to make 68 more snow blocks to finish building an igloo.

Let m be the number of blocks Tegan still needs to make and c be the number of completed blocks.

If total number of required block is 68 and c blocks are completed then the remaining blocks is the difference between 68 and c.

Number of blocks Tegan still needs to make = 68 - c

We know that c represent the number of blocks Tegan still needs to make.

m = 68 - c

Therefore, the required equation is m = 68 - c.

Answer:

wait I don't understand is this suppose to be a definition, City, or anything?

Answer:

ARN

Step-by-step explanation:

The correlation values that represent the perfect linear relationship between x and y are = b) 1 and d) -1

Now first we need to understand what is meant by correlation,

The mutual relation or degree to which two or more quantities are mutually linear or related to each other, hence their degree or relation of correlation is qualified by correlation coefficient.

According to the question we need to find the correlation value that represents a perfect linear relationship between x and y

Since we know according to the definition of correlation, the perfect linear relationship between x and y could be represented if their magnitude is 1.

Both positive and negative values of magnitude 1 (i.e 1 and -1)  are defined as the linear relationship between x and y.

Therefore, The correlation values that represent the perfect linear relationship between x and y are both 1 and -1

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The graph of an equation is the collection of all of its solution points.

Consider the function y=f(x). All the ordered pair ( a, b) such that b=f(a) is called the graph of the equation.

The solution set consists of all points whose y-coordinate is greater than or equal to 1.

These points are contained in the shaded region in the graph below. This kind of region is called a half-plane because it is one of two parts of the plane into which a boundary line divides it.

Therefore, the set of all solution points of an equation is the graph of the equation.

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To determine if a function crosses the horizontal asymptote, analyse the behavior of the function as it approaches the asymptote and on either side of it.

1. Identify the horizontal asymptote of the function. The horizontal asymptote is a horizontal line that the function approaches as the independent variable (usually denoted as x) goes to positive or negative infinity. It is often denoted by a horizontal line y = a, where "a" is a constant.

2. Examine the behavior of the function as x approaches positive infinity. Evaluate the limit of the function as x goes to positive infinity. If the limit is equal to the value of the horizontal asymptote, then the function does not cross the asymptote. However, if the limit does not equal the asymptote, move to the next step.

3. Examine the behavior of the function as x approaches negative infinity. Evaluate the limit of the function as x goes to negative infinity. If the limit is equal to the value of the horizontal asymptote, then the function does not cross the asymptote. If the limit does not equal the asymptote, proceed to the next step.

4. Investigate the behavior of the function around critical points or points where the function changes its behavior. These points may include the x-intercepts or vertical asymptotes. Determine if the function crosses the asymptote around these points by analyzing the behavior of the function in their vicinity.

If, at any point in this process, the function crosses the horizontal asymptote, then it does not have a true horizontal asymptote. However, if the function approaches the asymptote and does not cross it at any point, then it has a horizontal asymptote.

It's important to note that some functions may have multiple horizontal asymptotes or no horizontal asymptote at all. The steps outlined above are a general guideline, but the specific behavior of the function needs to be analyzed to make a conclusive determination.

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Answer:

A

Step-by-step explanation:

I think its A.. correct me if im wrong

Answer:

B

Step-by-step explanation:

The solution is Option A.

The translation of the center of circle is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

Given data ,

Let the equation for the circle A be represented as

( x - 7 )² + ( y - 1 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( 7 , 1 )

Let the equation for the circle A be represented as

( x + 8 )² + ( y - 2 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( -8 , 2 )

So , the translation of circle A to B is given by

( 7 , 1 ) to ( -8 , 2 )

So , the x coordinate is translated by 15 units to left and the y coordinate is translated by 1 unit up

Hence , the translation is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

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Answer:

7)c

8)d

9)b

10)a

Step-by-step explanation:

I'm pretty sure the answer is 6.92 cause when you simplify it you'll get that exact answer

Answer:

D 6.92

Step-by-step explanation:

6.920 and 6.92 are equal

The percentage of defective units is 2/40, which equals 0.05.

In mathematics and statistics, the concept of mean is crucial. The most typical or average value among a group of numbers is called the mean.

It is a statistical measure of a probability distribution's central tendency along the median and mode. It also goes by the name "anticipated value."

It is a statistical idea with significant financial implications. The idea is applied in a number of financial areas, such as business appraisal and portfolio management, although not exclusively.

There are several methods for calculating a set of values' central tendency. The mean can be calculated in a number of different methods. The top two are listed below:

The sum of all values in a group of numbers divided by the total number of numbers in the group is the arithmetic mean.

According to our question-

Point estimate of mean  = (39 + 31 + 38 + 40 + 29 + 32 + 33 + 39 + 35 + 32 + 32 + 27 + 30 + 31 + 27 + 30 + 29 + 34 + 36 + 25 + 30 + 32 + 38 + 35 + 40 + 29 + 32 + 31 + 26 + 26 + 32 + 26 + 30 + 40 + 32 + 39 + 37 + 25 + 29 + 34)/40

Point Estimate of the mean = 1292/40 = 32.3

Hence , The percentage of defective units is 2/40, which equals 0.05.

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Answer:

The point estimate of the population mean is

32.30

, and the point estimate of the proportion of defective units is

0.05

.

Step-by-step explanation:

i got it right

An example for #5 is y=-8x+2, and an answer for 6. is y=6x+9. The formula is y=mx+b so the b is the y-int/y and the m is the slope/x. The x is the variable(the one beside the m).

Answer:

x = 1, x = 5

Step-by-step explanation:

|x−7|=|2x−8|  ==> there are 2 ways to simplify this equation:

1. x - 7 = 2x - 8

2. -(x - 7) = 2x - 8

Let's first solve equation 1:

x - 7 = 2x - 8

-7 = x - 8  ==> subtract x on both sides

x - 8 + 8 = -7 + 8  ==> add 8 on both sides

x = 1  ==> simplify

Now let's solve equation 2:

-(x - 7) = 2x - 8

-x - (-7) = 2x - 8  ==> distribute the negative sign to x and -7

-x + 7 = 2x - 8  ==> subtracting a negative number is equivalent to adding a

                               positive number

7 = 3x - 8  ==> add x on both sides

15 = 3x ==> add 8 on both sides

x = 5 ==> divide 3 on both sides

Hence, the answers are x = 1 and x = 5.

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

Explanation:

The general quadratic ax^2+bx+c = 0 has these properties

For more information, check out Vieta's formulas.

If we flip the bx term to -bx, thereby getting ax^2-bx+c = 0, then we have these properties

We're told the sum and product of the roots are the same

b/a = c/a

b = c

Example:

The equation x^2-10x+10=0 has the sum of the roots equal to 10, and the product of the roots is also 10. You can use the quadratic formula to confirm this.

Answer:

12

Step-by-step explanation:

good right? if not then your question was wrong

To create opposite x terms, we need to multiply the first equation by -5.

How to choose what term to multiply the first equation?

To choose what term to multiply the first equation, we need to consider the coefficients of the variable that we want to eliminate (in this case, the x variable) in both equations. Our goal is to create opposite terms for that variable in the two equations, so that when we add or subtract the equations, that variable will be eliminated.

Determining the number to multiply the first equation by to form opposite terms for the x-variable :

In this case, the coefficient of x in the first equation is 2/5, and the coefficient of x in the second equation is -2.

To create opposite terms for x, we need to find a constant that, when multiplied by the first equation, will result in a coefficient of x that is the negative of the coefficient of x in the second equation (i.e., -2).

To do this, we can divide the coefficient of x in the second equation by the coefficient of x in the first equation, and then multiply the entire first equation by the resulting constant.

In this case, we have:

\((-2)/(2/5) = -5\)

Multiplying the first equation by -5 gives:

\(-5(2/5)x + (-5)6y = -5(-10)\)

which simplifies to:

\(-2x - 30y = 50\)

Now we have two equations with opposite x terms:

\(-2x - 4y = 40\)

\(-2x - 30y = 50\)

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When data are positively skewed, the mean will be greater than the median.

This is because the mean will be pulled in the direction of the higher values in the data set, while the median will ignore the higher values and be more affected by the lower values in the data set.

Positively skewed data is characterized by a long tail on the right side of the distribution graph. This means that the data set contains more values that are higher than the mean and median. As a result, the mean will be a higher value than the median, as the mean will be pulled in the direction of the higher values. The median, however, will remain unaffected by the higher values and will be more affected by the values at the lower end of the distribution.

the complete question is :

When data are positively skewed, the mean will usually be:

a. greater than the median

b. smaller than the median

c. equal to the median

d. positive or negative depending on the data set

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18 root

2

Step-by-step explanation:

In this question imagine there is no y

It will be 10 root2 +5 root2 +3 root 2 it will be 18 root 2

The shortest distance, in miles, from station P to station L using the bus route is 27 miles

The possible routes from P to L are:

From the graph that represents the distance between the stations, we have:

\(PJKL = PJ + JK + KL\)

and

\(PNML = PN + NM+ML\)

So, we have:

\(PJKL = 3 + 3 + 5\)

\(PJKL = 11\)

\(PNML = 2 + 2+5\)

\(PNML = 9\)

By comparison:

9 is less than 11

So, the shortest route is: PNML

Each grid is 3 miles long

So, we have:

\(PNML = 9 * 3\)

\(PNML = 27\)

Hence, the shortest distance is 27 miles

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Answer:

Money raised = 42t

Step-by-step explanation:

Given the ODE using Frobenius Method x²y"+x²y¹-2y = 0The Frobenius method is used to obtain the power series solution of a differential equation of the form:

xy″+p(x)y′+q(x)y=0Which is given in your question as: x²y"+x²y¹-2y = 0The general form of the Frobenius solution can be expressed as a power series of the form:y(x)=x^r ∑_(n=0)^(∞) a_n x^n+rwhere 'r' is any arbitrary constant and the 'a_n' coefficients are determined from the recurrence relation.

The Frobenius method consists of substituting this power series into the differential equation and equating the coefficient of the same powers of x to zero. This method can be used to solve any second-order differential equation having a regular singular point.

Therefore, substituting the given equation we get:$$ x^2 y'' + x^2 y' - 2y = 0 $$Let the solution of the given equation be:y(x) = ∑_(n=0)^(∞) a_n x^(n + r)Substituting this in the differential equation, we get:$$ x^2y'' + x^2y' - 2y = \sum_{n=0}^\infty a_n [(n+r)(n+r-1)x^{n+r} + (n+r)x^{n+r} - 2x^{n+r}] $$Equating the coefficient of each power of x to zero, we get:Coefficients of x^(r):$$ r(r-1)a_0 = 0 \Rightarrow r=0,1 $$Coefficients of x^(r + 1):$$ (r+1)r a_1 + (r+1)a_1 - 2a_0 = 0 $$Taking r = 0, we get:a_1 - 2a_0 = 0a_1 = 2a_0

The solution becomes:y_1(x) = a_0 [1 + 2x]Taking r = 1, we get:$$ 6a_2 + 3a_1 - 2a_0 = 0 $$a_2 = (1/6) [2a_0 - 3a_1]Substituting the value of a_1 from above, we get:a_2 = a_0/3The second solution is given by:y_2(x) = a_0 [x^2/3 - 2x/3]Therefore, the required solution of the given ODE using Frobenius method is:y(x) = c_1 y_1(x) + c_2 y_2(x)y(x) = c_1 [1 + 2x] + c_2 [x^2/3 - 2x/3]

Hence, the second and third-degree Legendre polynomials generated and the solution of the given ODE using the Frobenius method is obtained above.

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The derivative dy/dx of the equation ysin(x^2) = xsin(y^2) is given by (sin(y^2) - ycos(x^2)2x) / (sin(x^2) - 2yxcos(y^2)).

In the given equation, y and x are both variables, and y is implicitly defined as a function of x. To find dy/dx, we differentiate each term using the chain rule and product rule as necessary.

Differentiating the left-hand side of the equation, we apply the product rule to ysin(x^2). The derivative of ysin(x^2) with respect to x is dy/dxsin(x^2) + ycos(x^2)*2x.

Differentiating the right-hand side of the equation, we apply the product rule to xsin(y^2). The derivative of xsin(y^2) with respect to x is sin(y^2) + x*cos(y^2)2ydy/dx.

Now we have two expression for the derivative of the left and right sides of the equation. To isolate dy/dx, we can rearrange the terms and solve for it.

Taking the derivative of ysin(x^2) = xsin(y^2) with respect to x using implicit differentiation yields:
dy/dxsin(x^2) + ycos(x^2)2x = sin(y^2) + xcos(y^2)2ydy/dx.

By rearranging the terms, we can solve for dy/dx:
dy/dx * (sin(x^2) - 2yxcos(y^2)) = sin(y^2) - y*cos(x^2)*2x.

Finally, we can obtain the value of dy/dx by dividing both sides by (sin(x^2) - 2yxcos(y^2)):
dy/dx = (sin(y^2) - ycos(x^2)2x) / (sin(x^2) - 2yxcos(y^2)).

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Answer:

The slope of this line will be y=-4/5x+2

Explanation:

Hope this Helped

Answer: y = 2x - 7

Step-by-step explanation:

Just remember, when in doubt use the formula y = mx + b

Good luck!