Find point Z that partitions the directed line segment XY in the ratio of 2:1 where X(1, 2) and Y(7, 5). Show all steps.

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The zeroes of the given polynomial is 1 and -6.

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Here, given equation;

          f(x) = (x - 1)(x + 6)

for finding the zeros of the equation we need to put.....f(x) = 0

           0 = (x - 1)(x + 6)

     x - 1 = 0      or       x + 6 = 0

     x = 1          or    x = -6

Thus, The zeroes of the given polynomial is 1 and -6.

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Answer:

C

Step-by-step explanation:

mailing a check is the mechanical transport of a physical object representing a monetary amount for payment.

that act itself is not electronic.

at the end in today's times the final act to get the money from Elsa'a account into the account of the utility company will be most certainly electronic, but we don't know (it could still end up in the old fashioned way that somebody from the utility company goes with the check to their bank, cash that check in and then use that cash in some way). and Elsa would not be involved. for her the payment was manual, "mechanical", and not electronic.

Answer:

C

Step-by-step explanation:

It mentions Elsa mails a check. Although it is sent through mail, the means of payment is still a check, which is not a digital transaction.

Answer:

The Graph is included Bellow...

Step-by-step explanation:

This function will start at (0,2) and proceed to the right (based on its family function of √x) and since it has been shifted up 2 from f(x) then we will move two units up.

The domain can be considered the range from right to left that the function is restricted in. In this case, it starts at -2 (Which the function doesn't reach) and will stop at 7.

So the Graph you are looking for will start at (0, 2) and proceed to the right until (7, 4.6) ish. I have included a table to help your graph it!

Please Like if this helps!

Answer:  -∞ < x < ∞

Step-by-step explanation:

      The domain is all the x-values, or inputs, of a function. The range is the y-values, or outputs, of a function.

       In this case, we are looking for the x-values of the function. Since the function will keep going "out forever" in both directions, the answer should be the fourth option;

             - ∞ < x < ∞

The first step that we must take to solving this problem is to fully understand what the problem statement is asking from us and what is given us to solve the problem.  Looking at the problem statement, we can see that they are asking us to determine what the domain of the function is in the graph that was provided.  However, first of all, let us define what domain is.

Looking back at our problem, we can see that this is similar to the example that was provided in the definition.  We can see that the parabola reaches out to both positive and negative infinity in the x-direction but at a slope. Although we can only see it reach -2 and 6 we know that the parabola continues going on even after that.  

Therefore, looking at the options that were provided option D, -∞ < x < ∞ would be the best fit as it showcases that x reaches from negative infinity to positive infinity.

a) If any values in the data set are greater than the upper boundary, then those values are the upper outliers.

b) If any values in the data set are less than the lower boundary, then those values are lower outliers.

The complete question is attached with an answer.

If a number in distribution is more than 1.5 times the length of the box away from either of the upper and lower quartile of the distribution, then that number is said to be an outlier.  

The lower quartile is  and the upper quartile of distribution is

Then lower boundary is given by [tex]=Q_1-1.5\times IQR[/tex]

The Upper boundary is given by  [tex]=Q_3+1.5\times IQR[/tex]

If any number or value of the distribution is greater than  [tex]=Q_3+1.5\times IQR[/tex]  then that is called Upper Outlier.

Similarly, if any value or number of the distribution is less than [tex]=Q_1-1.5\times IQR[/tex] then that is called Lower Outlier.

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Answer:

Wavelength

Step-by-step explanation:

That distance is the wave length.

Answer: a. wavelength

A one is 12

B is 25

just multiply by 6

Step-by-step explanation:

Answer:

a) 24cm²

b)150cm²

c)600m²

d)864mm²

e)294m²

f)486cm²

g)384mm²

h)1014cm²

Step-by-step explanation:

Find the area of the face, it's a cube so just multiply it by the length you have

2x2=4

It has 6 faces so multiply this by 6

6x4=24

Answer:

4^3 = 4x4x4

Step-by-step explanation:

its just a shortened version of 4x4 3 times

Answer:

-23

Step-by-step explanation:

Answer:

2x^3 y^18

Step-by-step explanation:

The power of a power (properties of exponents) was used in this problem. Hope this helps! :)

Answer:

[tex]2x^3 y^{18}[/tex]

Step-by-step explanation:

[tex]~~~\left( 8 x^9 y^{54} \right)^{\tfrac 13}\\\\=\left(2^3 x^9 y^{54} \right)^{\tfrac 13} \\\\=\left( 2^3 \right)^{\tfrac 13}\left( x^9 \right)^{\tfrac 13}\left( y^{54} \right)^{\tfrac 13}\\\\=2^{\tfrac 33} \cdot x^{\tfrac 93} \cdot y^{\tfrac{54}3}\\\\=2x^3 y^{18}[/tex]

Answer:

Step-by-step explanation:

[tex]\sf \left(2x+\cfrac{1}{2}\right)+\left(8x-2\cfrac{1}{2}\right)[/tex]

We'll need to convert the mixed number 2 1/2 to improper fraction.

[tex]\sf \left(2x+\cfrac{1}{2}\right)+\left(8x-\cfrac{5}{2}\right)[/tex]

Simplify...

[tex]\sf 2x+\cfrac{1}{2}+8x-\cfrac{5}{2}[/tex]

Add similar elements.

[tex]\sf 10x+\cfrac{1}{2}-\cfrac{5}{2}[/tex]

[tex]\sf 10x+\cfrac{-4}{2}[/tex]

Divide numbers..

[tex]\sf 10x-2[/tex]

_______________________

Answer: 30%

Step-by-step explanation:

percentage = (discount/total amount)

* 100= (8.40/28)*100=30%

Answer:

Given

Ab = 12

A+b = 7

As a + b = 7,

A and b must be less than 7

A =6

B =2

Ab = 12

6 x 2 = 12

6, 2 < 7

Step-by-step explanation:

Hope this helps

Answer:

3x^2

Step-by-step explanation:

Area = (length) x (width)

Area = (1x)*(3x)

Area = 3x^2

You could vote on it? There are as many ways as you can think of. It’s not set in stone.

Answer:

4

Step-by-step explanation:

3s=14-2

3s=12

3s/3=12/3

s=4

Answer:

10 cards

Step-by-step explanation:

4% of 250 cards

(4/100) x 250 cards

10 cards ✔️

Answer:

[tex]\boxed{\huge{\sf \dfrac{1}{4} }}[/tex]

Explanation:

Given Total Numbers: 8 numbers

Must be greater than 6, The numbers are 7 and 8 = 2 numbers

Probability:

→ favorable outcomes/total possible outcomes

→ 2/8

→ 1/4

→ 0.25

Answer:

168cmsqured

Step-by-step explanation:

as for me,15 acts as the lower part of the trapezium while 13 acts as the upper part of the trapezium .so since I know the measurements of the both sides I can easily calculate the area use using the formula indicated in the image.hope it helps

Answer:

A

Step-by-step explanation:

Answer:

[tex]2x^6y^2[/tex]

Step-by-step explanation:

Step 1: simplify integers in expression

[tex]\frac{12x^{9}y^{4}}{6x^{3}y^{2}} = \frac{2x^{9}y^{4}}{x^{3}y^{2}}[/tex]

Step 2: simplify x terms

[tex]\frac{2x^{9}y^{4}}{x^{3}y^{2}} = \frac{2x^{6}y^{4}}{y^{2}}[/tex]

Step 3: simplify y terms

[tex]\frac{2x^{6}y^{4}}{y^{2}} = 2x^6y^2[/tex]

When solving a problem, a tree diagram depicts the order in which events must be completed.

Tree diagrams are very effective in probability because they clearly and simply record all likely scenarios.

The attached Tree Diagram has been used to depict the problem that John is trying to solve.

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Answer:

5/9

Step-by-step explanation:

20÷36

20/36

divide using 2

10/18

divide using 2

5/9

Answer:

18

Step-by-step explanation:

Well there is 6 there.... ad six and six more (2 layers more) for a total of 18

Using it's concept, it is found that the conditional probability of B given that A occurs first is of [tex]p = \frac{3}{10}[/tex].

A probability is given by the number of desired outcomes divided by the number of total outcomes.

When two dice are rolled, we have these 36 outcomes:

Of those, 30 involve a sum of less than 10, and of those 30, 9 involve a sum that is multiple of 3(either 3, 6 or 9), hence the probability is given by:

[tex]p = \frac{9}{30} = \frac{3}{10} = 0.3[/tex]

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The image is attached with answer

A quadrilateral is a polygon with four sides , four angles and four vertices.

It is given in the question that

Quadrilateral BGTS has vertices B (-3, 4), G (-1, 3), T (-1, 1), and S (-4, 2).

A graph has to be drawn of

its image after a translation along (5,0) and a reflection in the x-axis.​

The coordinates after translation and reflection is is B (8, -4), G (6, -3), T (6, -1), and S (7, -2).

The image is attached with the answer .

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Answer:

-9

Step-by-step explanation:

-6×3/2

-6×3=-18

-18/2

-9

[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{(-3)}}} \implies \cfrac{0}{6 +3}\implies 0[/tex]

hmmm a line with a slope of 0 is a horizontal one, and it has no slope-intercept form.

Check the picture below.