Given the vectors w = <-5, 3> and z = <1, 4>, find the results of the vector subtractions. -w − z = z − w = w − z =

The rational function graphed in this problem is defined as follows:

y = -2(x - 1)/(x² - x - 2).

The vertical asymptotes of the rational function for this problem are given as follows:

x = -1 and x = 2.

Hence the denominator of the function is given as follows:

(x + 1)(x - 2) = x² - x - 2.

The intercept of the function is given as follows:

x = 1.

Hence the numerator of the function is given as follows:

a(x - 1)

In which a is the leading coefficient.

Hence:

y = a(x - 1)/(x² - x - 2).

When x = 0, y = -1, hence the leading coefficient a is obtained as follows:

-1 = a/2

a = -2.

Thus the function is given as follows:

y = -2(x - 1)/(x² - x - 2).

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Step-by-step explanation:

a= c-b pls let me know if it is correct or not

Answer:

-3

Step-by-step explanation:

As included in the image you put, slope is rise over run or y2-y1/x2-x1.

y2-y1/x2-x1

we'll replace x and y with the coordinate points given

-3 - 3/2-0

-6/2             simplify

-3/1

slope is -3/1 or -3.

The number of M&M's that were in the bowl before Amelia arrived is; 12

Let the original amount in the bowl be x. Thus;

If Amelia grabbed 50%, then amount left = (100% - 50%)x = 50%x = 0.5x

Now, we are told that domicick took 50% of what was keft after amelia. Thus; New amount left = 100%x - (0.5x + 0.25x) = 0.25x

Now, we are told that there were finally 3 left after all the deductions. Thus;

0.25x = 3

x = 3/0.25

x = 12

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we conclude that if the scale factor from S to M is 3/2, then the scale factor from M to S is 2/4.

Suppose we have a figure S. If we apply a stretch of scale factor K to our figure S, we can say that all the dimensions of figure S are multiplied by K.

So, if S represents the length of a bar, then after the stretch we will get a bar of length M, such that:

M = S*K

If that scale factor is 3/2, then we have the case of the problem:

M = (3/2)*S

We can isolate S in the above relation:

(2/3)*M = S

Now we have an equation (similar to the first one) that says that the scale factor from M to S is 2/3.

Then we conclude that if the scale factor from S to M is 3/2, then the scale factor from M to S is 2/4.

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Answer:

54

Step-by-step explanation:

x-1=3

2xy=24

3+24=27

27·2=54

Answer:

54

Step-by-step explanation:

Answer:

-Picture attached-

Step-by-step explanation:

The gradient would be 4, with a rising graph and the y-intercept would be 1. I attached a picture of the graph, hope it helps.

Answer:

For your first answer it is because they are two different ways to solve the equation

Step-by-step explanation:

For Example!

(x-4)² – 28 = 8

The 8 is positive making it a different equation (this is like absolute value). (I am assuming you know the answer to the probelm)

(x-4)² – 28 = -8

The 8 could be negative meaning that when you add the 28 to the right side it is -8+28 which will be a negative!

Answer:

38.50

Step-by-step explanation:

thirty-eight dollars and fifty cents

Answer:

The scatterplot that shows the strongest negative linear association would have the points on the plot in a downward slope from left to right. The closer the points are to forming a straight line going from the upper left to the lower right, the stronger the negative linear association is. The points on the scatterplot with the strongest negative linear association will be closely clustered along a line, indicating a clear and strong relationship between the two variables being plotted.

Answer:it should'nt be hard :)

Step-by-step explanation:

Answer:

3,781 miles

Step-by-step explanation:

Do 235x7 and 534x4. then add the two together. srry if im wrong btw. the total should be 3,781 .-.

Step-by-step explanation:

\( \frac{x}{3x - 1} \div \frac{x - 2}{2x} = \\ = \frac{x}{3x - 1} \times \frac{2x}{x - 2} = \\ = \frac{2 {x}^{2} }{3 {x}^{2} - 7x + 2} \)

Answer: A. We are 95% confident that the population mean weight gain for male University of South Texas students is 2.4 more to 20,4 more than female University of South Texas students.

Step-by-step explanation:

Given a 95% confidence interval of : (2.4, 20.4)

The lower boundary of the interval = 2.4

The upper boundary of the interval = 20.4

Male = group 2, Female = group 1

P2 - P1 is between lower boundary more and upper boundary more ;

Hence

Population mean weight for male is 2.4 more to 20.4 more than female

Answer:

the answer is -23 let me if you have questions

Answer:

x=0.7

Step-by-step explanation:

Answer:

\(\sqrt[9]{x^{7} }\)

Step-by-step explanation:

Hope this helps

Answer:

We know that for a line:

y = a*x + b

where a is the slope and b is the y-intercept.

Any line with a slope equal to -(1/a) will be perpendicular to the one above.

So here we start with the line:

3x + 4y + 5 = 0

let's rewrite this as:

4y = -3x - 5

y = -(3/4)*x - (5/4)

So a line perpendicular to this one, has a slope equal to:

- (-4/3) = (4/3)

So the perpendicular line will be something like:

y = (4/3)*x + c

We know that this line passes through the point (a, 3)

this means that, when x = a, y must be equal to 3.

Replacing these in the above line equation, we get:

3 = (4/3)*a + c

c = 3 - (4/3)*a

Then the equation for our line is:

y = (4/3)*x + 3 - (4/3)*a

We can rewrite this as:

y = (4/3)*(x -a) + 3

now we need to find the point where this line ( y = -(3/4)*x - (5/4)) and the original line intersect.

We can find this by solving:

(4/3)*(x -a) + 3 =  y = -(3/4)*x - (5/4)

(4/3)*(x -a) + 3  = -(3/4)*x - (5/4)

(4/3)*x - (3/4)*x = -(4/3)*a - 3 - (5/4)

(16/12)*x - (9/12)*x = -(4/3)*a - 12/4 - 5/4

(7/12)*x = -(4/13)*a - 17/4

x = (-(4/13)*a - 17/4)*(12/7) = - (48/91)*a - 51/7

And the y-value is given by inputin this in any of the two lines, for example with the first one we get:

y =  -(3/4)*(- (48/91)*a - 51/7) - (5/4)

  = (36/91)*a + (153/28) - 5/4

Then the intersection point is:

( - (48/91)*a - 51/7,  (36/91)*a + (153/28) - 5/4)

And we want that the distance between this point, and our original point (3, a) to be equal to 4.

Remember that the distance between two points (a, b) and (c, d) is:

distance = √( (a - c)^2 + (b - d)^2)

So here, the distance between (a, 3) and ( - (48/91)*a - 51/7,  (36/91)*a + (153/28) - 5/4) is 4

4 = √( (a + (48/91)*a + 51/7)^2 + (3 -  (36/91)*a + (153/28) - 5/4 )^2)

If we square both sides, we get:

4^2 = 16 =  (a + (48/91)*a + 51/7)^2 + (3 -  (36/91)*a - (153/28) + 5/4 )^2)

Now we need to solve this for a.

16 = (a*(1 + 48/91)  + 51/7)^2 + ( -(36/91)*a  + 3 - 5/4 + (153/28) )^2

16 = ( a*(139/91) + 51/7)^2 + ( -(36/91)*a  - (43/28) )^2

16 = a^2*(139/91)^2 + 2*a*(139/91)*51/7 + (51/7)^2 +  a^2*(36/91)^2 + 2*(36/91)*a*(43/28) + (43/28)^2

16 = a^2*( (139/91)^2 + (36/91)^2) + a*( 2*(139/91)*51/7 + 2*(36/91)*(43/28)) +  (51/7)^2 + (43/28)^2

At this point we can see that this is really messy, so let's start solving these fractions.

16 = (2.49)*a^2 + a*(23.47) + 55.44

0 = (2.49)*a^2 + a*(23.47) + 55.44 - 16

0 = (2.49)*a^2 + a*(23.47) + 39.44

Now we can use the Bhaskara's formula for quadratic equations, the two solutions will be:

\(a = \frac{-23.47 \pm \sqrt{23.47^2 - 4*2.49*39.4} }{2*2.49} \\\\a = \frac{-23.47 \pm 12.57 }{4.98}\)

Then the two possible values of a are:

a = (-23.47 + 12.57)/4.98  = -2.19

a = (-23.47 - 12.57)/4.98 = -7.23

Answer:

33 , 39

Step-by-step explanation:

given

9 , 15 , 21 , 27

there is a common difference between consecutive terms, that is

15 - 9 = 21 - 15 = 27 - 21 = 6

to obtain terms in the sequence add 6 to the preceding term

27 + 6 = 33

33 + 6 = 39

the next two terms are 33 and 39

Answer:32

Step-by-step explanation:I divided 16 by 0.5

hello

to solve this question, we need to sketch this situation to give us a better illustration

to find the angle of elevation, we can use trigonometric ratios here

SOHCAHTOA

since we have the value of hypothenus and opposite, we can use the sine angle to find the angle of elevation

from the calculation above, the angle of elevation is equal to 24 degrees

By using Unitary method it can be calculated that

4 quarts of white paint is mixed with \(1\frac{1}{5}\) quarts of blue paint

 1 quart of blue paint is mixed with  \(3\frac{1}{3}\) quarts of white paint

What is unitary method?

Unitary method is the process in which the value of single unit can be calculated from the value of multiple unit and the value of multiple unit can be calculated from the value of single unit. Sometimes Value of single unit can be less than the value of multiple unit. For example - The relation between the cost of a commodity and the quantity of the commodity

Sometimes Value of single unit can be more than the value of multiple unit. For example - The relation between the number of men and the number of days taken by those men to do a certain job.

a) Here, Unitary method will be used

Blue Paint                   White Paint

(Quart)                          (Quart)

\(1\frac{1}{2}\)                                     5

\(1\frac{1}{5}\)                                     4

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

5 quarts of white paint is mixed with \(\frac{3}{2}\) quarts of  blue paint

1 quart of white paint is mixed with \(\frac{3}{2} \times \frac{1}{5}\) quarts of blue paint

4 quarts of white paint is mixed with \(\frac{3}{2} \times \frac{1}{5} \times 4\) quarts of blue paint

4 quarts of white paint is mixed with \(\frac{6}{5}\) quarts of blue paint

4 quarts of white paint is mixed with \(1\frac{1}{5}\) quarts of blue paint

Again

\(\frac{3}{2}\) quarts of blue paint is mixed with 5 quarts of white paint

1 quart of blue paint is mixed with  \(5 \div \frac{3}{2}\) quarts of white paint

1 quart of blue paint is mixed with  \(\frac{10}{3}\) quarts of white paint

1 quart of blue paint is mixed with  \(3\frac{1}{3}\) quarts of white paint

c) Finally

  4 quarts of white paint is mixed with \(1\frac{1}{5}\) quarts of blue paint

   1 quart of blue paint is mixed with  \(3\frac{1}{3}\) quarts of white paint

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Answer:81-43, 52+3, 32+42

Step-by-step explanation:Just do simple addition .

The evaluated value of x from the line geometry given is 36.

An angle is the point where two lines meet. From the given diagram, the sum of the angles on the line is 180 degrees.

Take the sum to have

x + 3x + x = 180

Simplify

4x + x = 180

5x = 180

Divide both sides by 5

5x/5 = 180/5

x = 36

Hence the value of x from the diagram is 36

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The triangle similarity can be proven by three methods, and the AA similarity postulate states that two triangles are similar if and only if their corresponding angles are congruent.

If they have the same shape but different sizes. This is what is known as similarity. In mathematics, there are three ways to prove that two triangles are similar: AA, SAS, and SSS.

In the case of AA similarity postulate, two triangles are similar if and only if two corresponding angles are congruent, meaning they have the same degree measure.

Similarly, if triangle ABC is similar to triangle JKL by AA similarity postulate, it means that the corresponding angles of both triangles are congruent.

Therefore, it is possible that triangle ABC is similar to one or more of the triangles given, but it is not possible to say without further information such as the angles and lengths of the sides.

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Complete Question:

Define triangle is ​△ABC​ similar to Similarity property and why?

Which triangle is ​△abc​ similar to and why? responses △abc is similar to △ghi by ​aa similarity postulate. triangle a b c, is similar to , triangle g h i, by , ​, a a similarity postulate, ., △abc is similar to △jkl by ​aa similarity postulate​. triangle a b c, is similar to , triangle j k l, by , ​, a a similarity postulate, ​, . △abc is similar to △def by ​aa similarity postulate​. triangle a b c, is similar to , triangle d e f, by , ​, a a similarity postulate, ​, . ​△abc​ is not similar to any of the triangles given.

Based on the table which shows the pricing for four different types of gasoline, a type that cost the least per gallon is: C. type C.

In order to determine the gasoline that costs least per gallon, we would determine the unit rate for the cost per gallon by using the following mathematical expression;

Unit rate = Cost of gasoline/number of gallons

Substituting the given parameters into the unit rate formula, we have the following;

Unit rate = $20.20/10

Unit rate = $2.02 per gallon.

For type B, we have the following unit rate:

Unit rate = $26.04/12

Unit rate = $2.17 per gallon.

For type C, we have the following unit rate:

Unit rate = $28.24 / 24

Unit rate = $2.01 per gallon.

For type D, we have the following unit rate:

Unit rate = $30.45 / 25

Unit rate = $2.03 per gallon.

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Answer: 120 yds

Step-by-step explanation:

48+30+24+18+120 yds

Answer:-9 to the fourth power is -6561

Step-by-step explanation: You would have to do 9 times 9 times 9 times 9 and that would equal 6561 then you would add the negative.So therefore the answer is -6561.

Please give brainliest if right.

Answer:

-6561

Step-by-step explanation:

\(-9^4 = -9 \times -9 \times -9 \times -9 = -6561\)

Answer:

$195,345.60

Step-by-step explanation:

We can calculate the amount of money remaining in the fund after 6 years by multiplying the initial amount by (1 - 0.2)^6. In this case,

(1 - 0.2)^6 = 0.32768

So the fund will have $597,000 * 0.32768 = $195,345.60 after 6 years.

Answer:

a, d, f

Step-by-step explanation:

Answer:

A d and f

Step-by-step explanation:

I just did it

\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\begin{cases} h=3\\ k=-10\\ \end{cases}\implies y=a(~~x-3~~)^2 + (-10)\hspace{4em}\textit{we also know that} \begin{cases} x=0\\ y=8 \end{cases} \\\\\\ 8=a(~~0-3~~)^2 + (-10)\implies 8=9a-10\implies 18=9a\implies \cfrac{18}{9}=a \\\\\\ 2=a\hspace{7em}y=2(~~x-3~~)^2 + (-10)\implies \boxed{y=2(x-3)^2-10}\)

The cost of a phone has lowered by 19% to $319.14 from its original $394 pricing.

In arithmetic, a percentile is a number or statistic that is given as a fraction of 100. Occasionally, the acronyms "pct.," "pct," nor "pc" are also used. But it is broadly classified into the following by the cent sign, "%." The % amount has no characteristics. Percentages are essentially integers when the denominator is 100. Use the percent sign (%) to indicate that a number is a percentage by placing it close to it. For instance, you score a 75% if you properly answer 75 so out 25 pages on a test (75/100). Divide the money by the whole and multiply the results by 100 you compute percentages. The formula for calculating the percentage is (value/total) x 100%.

given

Put this together using the conditions given: 319.14 / (1- 19%)

Determine the total or difference: 319.14 / 0.81

Diminish the fraction: 394

Response: 394

The cost of a phone has lowered by 19% to $319.14 from its original $394 pricing.

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