Find the point that partitions segment AB in a 2: 1 ratio.


Please don't give me a link to a file, because it doesn't work for me.

Find The Point That Partitions Segment AB In A 2: 1 Ratio. Please Don't Give Me A Link To A File, Because

Answers

Answer 1
Answer is 7-8 because this means you need to line the graph and put them together than you will find the answer. 7-8.
Answer 2

The point that partitions segment AB in a 2: 1 ratio is point (5,19/3).

Suppose the point that partitions segment AB in a 2: 1 ratio is point (x,y)

What is the internal division formula?

The internal division formula for a line segment is given by:

\(x=\frac{m_1x_2+m_2x_1}{m_1+m_2}\)

\(y=\frac{m_1y_2+m_2y_1}{m_1+m_2}\)

Where (x₁,y₁) and (x₂,y₂) are endpoints of the line segment.

Coordinates of points A≡(1,3)

Coordinates of points B≡(7,8)

\(x=\frac{2*7+1*1}{1+2}\)

\(x=5\)

Similarly, \(y=\frac{19}{3}\)

So (x,y)≡(5,19/3)

Hence, the point that partitions segment AB in a 2: 1 ratio is point (5,19/3).

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Related Questions

What is 3/4 as a percentage

Answers

Answer:

75%

Step-by-step explanation:

A percent is a value out of 100.

Change the fraction \(\frac{3}{4}\) to an equivalent fraction with the denominator equal to 100.

\(\frac{3}{4}\) × \(\frac{25}{25}\) = \(\frac{75}{100}\)

This fraction represents a percent.

\(\frac{75}{100}\) = 75%

At a bake sale, the golf team sold all 50 cupcakes for $1.50 each. They sold almost all of the 100 cookies for $1.00 each. The team also received donations from 7 people averaging $4.25 per donation. Determine the total amount of money the golf team collected from the bake sale with a reasonable level of accuracy.

Answers

Answer:

The total sales is $204.75, but the problems states ". . . almost 100 cookies." It also states the donations are an average, but I'll assume their calculation was done correctly and accept it as an actual amount.

We know that we actually sold less than 100 cookies. Thus the value of $204.75 is too high, since it assumes 100 cookies. We don't know what the exact number is, but it has to be $203.75 or less, if we assume 99 cookies, one less than 100.  

Therefore, I believe that we can only say that the total was under $203.75.  Depending on how you want to treat "almost," it could be anywhere from 90 - 99 cookies, in my mind.  If the person speaking "almost" has a habit of overstating things, then it is likely even less than that.  [e.g., "I almost caught the record-breaking fish" doesn't invoke confidence.]

Step-by-step explanation:

I hope this helps,

Answer:

Step-by-step explanation:

The total sales is $204.75, but the problems states ".  . almost 100 cookies." It also states the donations are an average, but I'll assume their calculation was done correctly and accept it as an actual amount.

We know that we actually sold less than 100 cookies. Thus the value of $204.75 is too high, since it assumes 100 cookies. We don't know what the exact number is, but it has to be $203.75 or less, if we assume 99 cookies, one less than 100.  

Therefore, I believe that we can only say that the total was under $203.75.  Depending on how you want to treat "almost," it could be anywhere from 90 - 99 cookies, in my mind.  If the person speaking "almost" has a habit of overstating things, then it is likely even less than that.  [e.g., "I almost caught the record-breaking fish" doesn't invoke confidence.]

a salesperson is paid $300 per week plus 15% commission on her weekly sales of x dollars. find a linear function that represents her total weekly pay w in terms of x.

Answers

Answer:

w = 300 + 0.15x

Step-by-step explanation:

Let x = weekly sales

Since there is a fixed remuneration of $300, that will be a constant in the linear equation

15% = 15/100 = 0.15 in decimal

15% commission on x dollars of sales = 0.15x

Therefore total weekly pay, w, in terms of x

w = 300 + 0.15x

what’s 3х + 7>4х +2

Answers

Answer:

\(x < 5\)

Step-by-step explanation:

\(3x + 7 > 4x + 2 \\ 7 - 2 > 4x - 3x \\ 5 > x\)

\(x < 5\)

a vector graphic consists of a set of instructions for creating a picture.

Answers

Answer:

A vector graphic consists of a set of instructions for creating a picture is a true statement.

Step-by-step explanation:

A vector graphic is an image format that represents images as a set of mathematical instructions or geometric primitives such as lines, curves, and shapes. Instead of using a grid of pixels like raster graphics, vector graphics define images based on mathematical formulas and coordinates.

These instructions or mathematical representations describe the shapes, colors, and other visual attributes of the image. They allow the image to be scaled, resized, and manipulated without loss of quality since the instructions can be recalculated and redrawn at any resolution or size.

Vector graphics are often created and edited using specialized software such as Adobe Illustrator, CorelDRAW, or Inkscape. They are commonly used for logos, illustrations, diagrams, typography, and other graphical elements where scalability and flexibility are important.

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6a-2y>4

Solve inequality for y

Answers


y < -2 +3a

Isolate the variable by dividing each side by factors that don't contain the variable.

claili has 35 flowers and 7 vases she wants to put the same number of flowers in each vase which question can calli use ro find the number of flowers to put in each vase

A. what number equals 7 subtracted from 35

B. what number added to 7 equals 35

C. what numbers multiplied by 7 equals 35

E. what number multiplied by 35 equals 7​

Answers

the answer is c. i hope this helps you!

On a separate piece of paper, draw the different ways you can divide the given shape into simpler shapes. Describe each result.

On a separate piece of paper, draw the different ways you can divide the given shape into simpler shapes.

Answers

Answer:

there will be 4 cornered shapes 1 rectangle that is almost a square and the shape I Forgot TvT

Answer:

Draw a vertical line to divide the shape into a rectangle and a trapezoid. Then draw a horizontal line to split the trapezoid into a rectangle and a triangle.

Step-by-step explanation:

scenario 1: shaniqua was interested in finding out how people would sleep after being told that the house they were in was haunted. she randomly selected 28 people from her school to participate in the study. she randomly assigned 14 of the people to sleep in the house on friday night, when she told them all that it was haunted. the other 14 slept in the house on saturday night and were not told that the house was haunted. she then measured how long each person slept and found that those in the "haunted" group got fewer hours of sleep than those in the "not-haunted" group. the independent variable is

Answers

In this scenario, the independent variable is the factor that is being manipulated or changed by the researcher. It is what the researcher controls and assigns to different groups in the study.

In this case, the independent variable is whether the participants were told that the house was haunted or not. Shaniqua randomly assigned 14 people to sleep in the house on Friday night and told them that it was haunted. The other 14 people slept in the house on Saturday night and were not told that it was haunted.

So, the independent variable in this study is the information about the house being haunted that was given to the participants. The study aimed to examine how this information affected people's sleep.

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The independent variable in this scenario is whether the participants were told that the house was haunted or not.

In this study, the researcher randomly assigned participants into two groups: the "haunted" group and the "not-haunted" group. The independent variable is the information provided to each group, with the "haunted" group being told that the house was haunted and the "not-haunted" group not being given any information about the haunting.

Thus, the independent variable allows the researcher to investigate the potential causal relationship between being told that the house is haunted and the amount of sleep obtained.

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Helppp!!!!!!!!!!!!!!!!!!!!!

Helppp!!!!!!!!!!!!!!!!!!!!!

Answers

The value of x is equal to 15°

How to determine the value of x?

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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Let (N(t))t a Poisson process with rate 3 per min. Let Sn denote
the time of the n-th event.
Find a. E[S10]
b. E[S4|N(1) = 3]
c.Var(S10).
d. E[N(4) − N(2)|N(1) = 3].
e. P[T20 > 3].

Answers

For a Poisson process with rate λ, the interarrival times between events are exponentially distributed with parameter μ = 1/λ. So, the time between the (n-1)-th and n-th event, denoted as Tn, follows an exponential distribution with parameter μ = 1/3 minutes.

Since Sn is the sum of the first n interarrival times, we have:

Sn = T1 + T2 + ... + Tn

The sum of n exponential random variables with parameter μ is a gamma random variable with shape parameter n and scale parameter μ. Therefore, Sn follows a gamma distribution with shape parameter n and scale parameter μ.

In this case, n = 10 and μ = 1/3. So, E[S10] can be calculated as:

E[S10] = n * μ = 10 * (1/3)

= 10/3 minutes.

Therefore, E[S10] = 10/3 minutes.

b. E[S4|N(1) = 3]:

Given that N(1) = 3, we know that there are 3 events in the first minute. Therefore, the time of the 4th event, S4, will be the sum of the first 3 interarrival times plus the time between the 3rd and 4th event.

Using the same reasoning as in part a, we know that the sum of the first 3 interarrival times follows a gamma distribution with shape parameter 3 and scale parameter 1/3. The time between the 3rd and 4th event, denoted as T4, follows an exponential distribution with parameter 1/3.

So, S4 = T1 + T2 + T3 + T4.

Since T1, T2, T3 are independent of T4, we can calculate E[S4|N(1) = 3] as:

E[S4|N(1) = 3] = E[T1 + T2 + T3 + T4]

= E[T1 + T2 + T3] + E[T4]

= (3/3) + (1/3)

= 4/3 minutes.

Therefore, E[S4|N(1) = 3] = 4/3 minutes.

c. Var(S10):

The variance of Sn, Var(Sn), for a Poisson process with rate λ, is given by:

Var(Sn) = n * σ^2,

where σ^2 is the variance of the interarrival times.

In this case, n = 10 and the interarrival times are exponentially distributed with parameter μ = 1/3. The variance of an exponential distribution is \(\mu^2\)So, \(\sigma^2 = \left(\frac{1}{3}\right)^2\)

= 1/9.

Substituting the values into the formula, we have:

Var(S10) = 10 * (1/9)

= 10/9.

Therefore, Var(S10) = 10/9.

d. E[N(4) − N(2)|N(1) = 3]:

Given that N(1) = 3, we know that there are 3 events in the first minute. Therefore, at time t = 2 minutes, there will be 3 - 1 = 2 events that have already occurred.

Now, we need to find the expected value of the difference in the number of events between time t = 4 minutes and t = 2 minutes, given that there were 3 events at t = 1 minute.

Since the number of events in a Poisson process follows a Poisson distribution with rate λt, where t is

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George has opened a new store and he is monitoring its success closely. He has found that this store's revenue each month can be modeled by x2 + 5x + 14 where x represents the number of months since the store opens the doors and r(x) is measured in hundreds of dollars. He has also found that his expenses each month can be modeled by 2 4x + 5 where x represents the number of months the store has been open and c(x) is measured in hundreds of dollars. What does (r - c)(5) mean about George's new store? The new store will sell 900 items in its fifth month in business. The new store will have a profit of $900 after its fifth month in business. The new store will have a profit of $5400 after its fifth month in business. The new store will sell 5400 items in its fifth month in business.​

Answers

Answer:

pls can you explain further

Halpert Corporation has been in operation for one year. The only product they produce is a specific bicycle chain. They want to make sure they are effectively utilizing the machinery they use to create this product. Below is the information concerning the machine that produces the bicycle chain:
Actual run time this week 2,500 Minutes
Machine time available per week 3,125 Minutes
Actual run rate this week 2.4 Units per minute
Ideal run rate 3.2 Units per minute
Defect-free output this week 5, 100 Units
Total output this week (including defects) 6,000 Units
Halpert's overall equipment effectiveness (OEE) was approximately:
Multiple Choice

o 0.25

o 0.29

o 0.51

o 0.54

Answers

Halpert Corporation's overall equipment effectiveness (OEE) was approximately 0.51.

OEE is a measure of how effectively a machine or equipment is utilized in producing quality output. It takes into account three factors: availability, performance, and quality.
To calculate OEE, we need to consider the following formula:
OEE = Availability * Performance * Quality
Availability: This is the ratio of actual run time to machine time available. In this case, the availability is 2,500 minutes / 3,125 minutes = 0.8.
Performance: This is the ratio of actual run rate to ideal run rate. Here, the performance is 2.4 units per minute / 3.2 units per minute = 0.75.
Quality: This is the ratio of defect-free output to total output. In this case, the quality is 5,100 units / 6,000 units = 0.85.
Now, we can calculate the overall equipment effectiveness (OEE):
OEE = 0.8 * 0.75 * 0.85 = 0.51
Therefore, Halpert Corporation's OEE is approximately 0.51, indicating that their machine utilization is at 51% efficiency.

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Mia is factoring the polynomial x2 4x – 12. She uses the steps shown. A 2-column table with 4 rows. The first column has no label with entries Step 1, Step 2, Step 3, Step 4. The second column is labeled x squared 4 x minus 12 with entries x squared 6 x minus 2 x minus 12, (x squared 6 x ) minus (2 x 12), x(x 6) minus 2(x 6), (x 6)(x 2). In which step did Mia make an error? Step 1 Step 2 Step 3 Step 4.

Answers

The fourth step is incorrect.

Polynomial

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

Given

x² + 4x -12 is a polynomial.

How to factorize the polynomial?

              x² + 4x - 12

Step 1.    x² + 6x - 2x -12

Step 2.  (x² + 6x) - (2x + 12)

Step 3.   x(x + 6) - 2 (x + 6)

Step 4.   (x + 6)(x - 2)

Thus, in fourth step in place of (x + 2), (x - 2) is to be put.

Thus, The fourth step is incorrect.

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Hiiioo! Can someone please help me with this❤️❤️

Hiiioo! Can someone please help me with this

Answers

Answer:

Hello! Your answer would be, E)

Step-by-step explanation:

Hope I helped! Ask me anything if you have questions! Brainiest plz. Hope You make a 100%! Have a nice day! -Amelia♥

Is this a multiple choice?

Solve for the angles x and y

I really really need help this is for a big test

Solve for the angles x and y I really really need help this is for a big test

Answers

Answer:

x=127°y=53°

Step-by-step explanation:

to understand thisyou need to know about:polygontips and formulas:sum of any polygon interior angles:(n-2)×180°the given shape is a heptagona line contains 180°let's solve

step-1: find the sum of the polygon interior angles

=(7-2)×180°

=5×180°

=900°

step-2: find x

according to the question

113+112+123+168+99+148+x=900

=>773+x=900

=>x=900-773

therefore

x=127

according to the question

127+y=180

=>y=180-127

therefore

y=53

A project has five activities with the durations (days) listed
below:
Activity
Precedes
Expected
Duration
Variance
Start
A, B
-
-
A
C
40
0.31
B
E
32
0.25
C
D
21
0.35

Answers

The critical path is the path with the longest duration, which in this case is A -> B -> D -> E with a duration of 11 days.

To determine the critical path of the project, we need to find the longest path of activities that must be completed in order to finish the project on time. This is done by calculating the earliest start time (ES) and earliest finish time (EF) for each activity.

Starting with activity A, ES = 0 and EF = 4. Activity B can start immediately after A is complete, so ES = 4 and EF = 7. Activity C can start after A is complete, so ES = 4 and EF = 6. Activity D can start after B is complete, so ES = 7 and EF = 9. Finally, activity E can start after C and D are complete, so ES = 9 and EF = 11.

The variance for each activity is also given, which allows us to calculate the standard deviation and determine the probability of completing the project on time. The critical path is the path with the longest duration, which in this case is A -> B -> D -> E with a duration of 11 days.

Using the expected durations and variances, we can calculate the standard deviation of the critical path. This information can be used to determine the probability of completing the project on time.

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Jeremy is picking apples to make apple pies for his friends. He has a bag that can hold 4 lbs of apples. If each apple weighs ⅕ th of a pound, how many apples will fit into Jeremy’s bag?

Answers

Answer:

20 apples

Step-by-step explanation:

1/5 times five that equals 1 so do that for times that is four pounds so 4 times five is 20

Answer:

20 apples?

because 1/5 times 5 that equal to 1 so do that for times that is 4 pounds so 4 times five is 20

PLZ help me ASAP its due in a couple of mins!!! :((((( which one is it??

PLZ help me ASAP its due in a couple of mins!!! :((((( which one is it??

Answers

It’s the second one hope this helped

(1 point) find a function y of x such that 7yy′=x and y(7)=7

Answers

The function that satisfies the given conditions is:

y(x) = √((x² - 49) / 7)

To solve for y(x), we can use the separation of variables.

Starting with 7yy′=x, we can rearrange and integrate both sides:

∫7y dy = ∫x dx

Simplifying, we get:

7y² / 2 = x² / 2 + C

where C is the constant of integration.

To solve for C, we can use the initial condition y(7) = 7:

7y² / 2 = 49 / 2 + C

C = 7y² / 2 - 49 / 2

Substituting this back into our equation, we get:

7y² / 2 = x² / 2 + 7y² / 2 - 49 / 2

Simplifying:

y² = (x² - 49) / 7

Taking the square root of both sides:

y = ± √((x² - 49) / 7)

However, we know that y(7) = 7, so we can use this to determine which square root to choose:

y = √((x² - 49) / 7)

Therefore, the function that satisfies the given conditions is:

y(x) = √((x² - 49) / 7)

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Given:

Prove:

Three lines AD, CF, and BE are intersecting each other at the midpoint O

Complete the proof.
It is given that
and
. By the
,
. Therefore,
. By the
,
, and by the
,
. After application of the
,
.

Answers

∠CFA ≅ ∠EDA (By Transitive Property of Congruence).

Given:

Three lines AD, CF, and BE are intersecting each other at the midpoint O.

To prove:

∠CFA ≅ ∠EDA

Proof:

Given that AD, CF, and BE intersect at the midpoint O.

By definition of a midpoint, OA ≅ OD, OB ≅ OE.

OA = OD and OB = OE.

Triangle OAD ≅ Triangle OBE (By Side-Side-Side congruence).

∠OAD ≅ ∠OBE (By Corresponding Parts of Congruent Triangles are Congruent).

∠CFA and ∠EDA are vertical angles.

∠OAD ≅ ∠CFA and ∠OBE ≅ ∠EDA (By Vertical Angles are Congruent).

Therefore, ∠CFA ≅ ∠EDA (By Transitive Property of Congruence).

Hence, it is proven that ∠CFA ≅ ∠EDA.

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Grace has 2 quartera . Jen have 4 dimesss were ans 1 nickels. Keesha has 3 dimes and 3 nickels. Terry has 1 quarters , 1 dime who has the most money

Answers

Answer: grace has the most money

Step-by-step explanation:

Because

Grace has 2 quarters = 50 cents

Jen has 4 dimes and 1 nickel = 45 cents

Keesha has 3 dimes and 3 nickels = 33 cents

Terry has 1 quarter and 1 dime = 26 cents

so as you can see grace has the most money

Scalcet8 3. 7. 501. xp. a particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s in feet. f(t) = t3 − 15t2 72t

Answers

The position of the particle at time t is given by s = f(t) = t^3 - 15t^2 + 72t, So, at t = 3 seconds, the particle's position is 108 feet.

Let's proceed with the calculation.

The law of motion for the particle is given by the function f(t) = t^3 - 15t^2 + 72t, where t represents time in seconds and s represents the displacement of the particle in feet.

To calculate the position of the particle at a specific time t, we substitute the value of t into the function f(t).

For example, let's calculate the position of the particle at t = 3 seconds:

f(3) = (3)^3 - 15(3)^2 + 72(3)
     = 27 - 135 + 216
     = 108 feet

So, at t = 3 seconds, the particle's position is 108 feet.

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Can I get help with this

Can I get help with this

Answers

Answer:

X = 60

Y = 50

Step-by-step explanation:

The total degrees of a triangle is 180 degrees. For the middle triangle, 50+70=120 so 180-120=60.

On the far right, Y=50 because you take 50 degrees from the middle triangle, and insert it there.

Which of these linear equations best describes the given model?

Which of these linear equations best describes the given model?
Which of these linear equations best describes the given model?

Answers

Answer:

it's not in a straigt line so ne

Step-by-step explanation:

Arcadia is 7 miles due north of the airport, and Rockport is 6 miles due east of the airport. How far apart are Arcadia and Rockport? If necessary, round to the nearest tenth.

Answers

The distance between Arcadia and Rockport is approximately 9.2 miles when rounded to the nearest tenth.

To determine the distance between Arcadia and Rockport, we can use the Pythagorean theorem, which relates the lengths of the sides of a right triangle.

Let's consider Arcadia as point A, Rockport as point R, and the airport as point O. The distance from Arcadia to the airport is 7 miles (the length of side OA), and the distance from Rockport to the airport is 6 miles (the length of side OR). We want to find the distance between Arcadia and Rockport, which is the length of side AR.

Since Arcadia and Rockport are located in different directions (north and east) from the airport, we can form a right triangle with sides AO, OR, and AR.

Using the Pythagorean theorem, we have:

AR^2 = AO^2 + OR^2.

Substituting the given lengths, we get:

AR^2 = 7^2 + 6^2,

AR^2 = 49 + 36,

AR^2 = 85.

Taking the square root of both sides, we find:

AR = √85.

Approximating the square root of 85 to the nearest tenth, we have:

AR ≈ 9.2 miles.

Therefore, the distance between Arcadia and Rockport is approximately 9.2 miles when rounded to the nearest tenth.

It's important to note that this calculation assumes a direct path between Arcadia and Rockport. If there are obstacles or detours that would affect the actual path, the distance may differ. Additionally, rounding to the nearest tenth introduces some level of approximation, so the actual distance may be slightly different.

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if a = 6, evaluate the following expression: 36/3a

Answers

Answer:

2

Step-by-step explanation:

1) substitute a=6 into 36/3a:

36/3×6

2) calculate: 36/3×6 ->2

Molly rewrote the equation as shown:
-50 + 11 = 8 - 3d
-5d + 11 + 3d = 8 - 30 + 3d
Which property did she use to rewrite the equation?
O addition property of equality
o distributive property
O multiplication property of equality
O substitution property

Molly rewrote the equation as shown:-50 + 11 = 8 - 3d-5d + 11 + 3d = 8 - 30 + 3dWhich property did she

Answers

Answer:

addition property of equality

Addition property of equality

Look at the image below. Identify the coordinates for point X, so that the ratio of AX : XB = 5 : 4

Answers

The coordinates of X that partitions XY in the ratio 5 to 4 include the following: X (-1.6, -7).

How to determine the coordinates of point X?

In this scenario, line ratio would be used to determine the coordinates of the point X on the directed line segment AB that partitions the segment into a ratio of 5 to 4.

In Mathematics and Geometry, line ratio can be used to determine the coordinates of X and this is modeled by this mathematical equation:

M(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

By substituting the given parameters into the formula for line ratio, we have;

M(x, y) = [(5(2) + 4(-6))/(5 + 4)],  [(5(-11) + 4(-2))/(5 + 4)]

M(x, y) = [(10 - 24)/(9)],  [(-55 - 8)/9]

M(x, y) = [-14/9],  [(-63)/9]

M(x, y) = (-1.6, -7)

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Missing information:

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

Look at the image below. Identify the coordinates for point X, so that the ratio of AX : XB = 5 : 4

The graph of f(x) and g(x) are shown below. How many solutions does the system of equations have?

Click pic to see whole problem

The graph of f(x) and g(x) are shown below. How many solutions does the system of equations have?Click

Answers

Answer:

Step-by-step explanation:

Solving systems of equations gives the points of intersection when the equations are graphed.

The answer is 3.

Other Questions
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