Which linear inequality represents the graph below?
(-2,3)
(0-2)
A. y<-{x-2
O B. y<-x-2
O C. ysx-2
O D. ys-x-2

Which Linear Inequality Represents The Graph Below?(-2,3)(0-2)A. Y&lt;-{x-2O B. Y&lt;-x-2O C. Ysx-2O

Answers

Answer 1

Answer:

B.

Step-by-step explanation:

1. We can clearly see that the "rise" is 5 and the "run" is 2, which cancels out both A. and D.

2. The line is dashed, which therefore cancels out both C. and D.

3. Just by canceling out those two can help you see that B fits what is seen in this figure because option A. has the wrong amount of "rise" over "run".

Answer 2

The linear inequality can be obtained from the given graph (the nature

of the line and the feasible (shaded) region).

Response:

[tex]B. \ y < -\dfrac{5}{2} \cdot x - 2[/tex]

How can the graph of the inequality be determined?

The given points in the graph are;

(-2, 3), and (0, -2)

The slope of the line is therefore;

[tex]Slope = \dfrac{-2 - 3}{0 - (-2)} = \mathbf{-\dfrac{5}{2}}[/tex]

The equation of the line is therefore;

[tex]y - 3 = \mathbf{ -\dfrac{5}{2} \cdot (x - (-2))}[/tex]

[tex]y = -\dfrac{5}{2} \cdot x - 5 + 3 = -\dfrac{5}{2} \cdot x - 2[/tex]

[tex]y = \mathbf{-\dfrac{5}{2} \cdot x - 2}[/tex]

Given that the left side (below the line of the equation of the graph) is

shaded and the line of the graph is a broken line, the correct option is

therefore;

[tex]B. \ y < -\dfrac{5}{2} \cdot x - 2[/tex]

Learn more about the graph of inequalities here:

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Related Questions

URGENT PLS HELP . pls put explanation as well. thank you:)

Answers

Answer:

The promoters profit would be $46,350 if they sell 850 tickets

Step-by-step explanation:

The value 61 is likely the cost of each ticket, and the value 5,500 is likely the amount the promoter spent in order to promote at the concert since it was being subtracted from his profits

Hope this helps :)

Find the area of a regular
polygon with 5 sides that has a
side length of 6 inches and an
apothem of 9 inches.

Answers

Answer:

Step-by-step explanation:

Height of the triangle = apothem = 9 inches

Base = 6 inches

[tex]Area \ of \ triangle = \frac{1}{2}bh\\\\=\frac{1}{2}*6*9\\\\= 3*9\\\\= 27 \ in^{2}[/tex]

Area of regular polygon = Area of 5 triangle.

                                        = 5 * 27

                                        = 135 square inches

Find the range of the function f(x)=-4x-8 for the domain {0,1,2}

Answers

Answer:

Since this function is definable for all real values of x,

Domain(f(x)) = R = (-∞,∞)

Step-by-step explanation:

Now,

Let 4x-8=y

4x = y+8

x = (y+8)/4

Since x is definable for all real values of y,

Range(f(x)) = R = (-∞,∞)

Three times one number added to another number is 39. Twice the first number minus the other is 6. What are the numbers?5

Answers

Answer:

Step-by-step explanation:

3x + y = 39 ........ (equation 1)
2x - y = 6 ............(equation 2)

By subtracting equation 1 - equation 2
5x = 45
Therefore, x = 45/5 = 9

To find y, substitute for x in equation 2
2(9) - y = 6
18 - y = 6
y = 18 - 6
y = 12

Therefore, the two numbers are 9 and 12.


help please help asap :)

Answers

Answer:

4x^3

Step-by-step explanation:

20 x^5 + 28 x^4 + 12x^3

4*5*x^5  + 4*7*x^4 + 4*3*x^3

Factor out 4x^3

4x^3 ( 5x^2 + 7x +3)

Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________

Answers

Answer:

-6/-2<-2x/-2

divide both sides by-2 to remain with the x variable on one side

I hope this helps

Suppose that d varies jointly with r and t, and d = 110 when r = 55 and t = 2. Find r when d = 40 and t = 3.

Answers

Answer:

r = 13.33

Step-by-step explanation:

d = k*r*t

Where,

k = constant of proportionality

d = 110 when r = 55 and t = 2

d = k*r*t

110 = k * 55 * 2

110 = 110k

k = 110/110

k = 1

Find r when d = 40 and t = 3

d = k*r*t

40 = 1 * r * 3

40 = 3r

r = 40/3

= 13.333333333333

Approximately,

r = 13.33

hlp mehhhhhhhhh plsssssssss

Answers

Answer:

graph - A

Step-by-step explanation:

Ed takes five 100-point tests in his algebra class. He scores 87, 85 and 87 points on the first three tests. If the scores of his last two tests differ by three points and he has a 90% average on his five tests, what was his highest test score?
PLS ANSWER QUICK WILL GIVE BRAINLIEST

Answers

Answer:

Step-by-step explanation:

When we take an average of something, we have to add up all the data on the somethings and then divide by the number of somethings we have. Ed takes 5 tests, and we have scores for them; we also have his current average. What we don't know for sure are 2 of the 5 test scores, but we have enough to determine what they are.

If one test has a score of x, and the other test is 3 points less than that, the score on that last test is x - 3. Putting all of that together into an average problem:

[tex]\frac{87+85+87+x+(x-3)}{5}=90[/tex] and simplfiying a bit:

[tex]\frac{256+2x}{5}=90[/tex]. Multiply both sides by 5 to get

256 + 2x = 450; subtract 256 from both sides to get

2x = 194 and divide by 2:

x = 97

The one test score was a 97 and the other one, which was 3 less than that, was a 94.

Solve for 2. Round to the nearest tenth, if necessary.
51
66
H
Answer: 2
Submit Answer
attempt 1 out of 2
PLS HELP

Answers

Answer:

x = 53.4

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan 51 = 66/x

x tan 51 = 66

x = 66/ tan 51

x=53.44574

Rounding to the nearest tenth

x = 53.4

A box contains a yellow ball, an orange ball, a green ball, and a blue ball. Billy randomly selects 4 balls from the box (with replacement). What is the expected value for the number of distinct colored balls Billy will select?

Answers

Answer:

[tex]Expected = 0.09375[/tex]

Step-by-step explanation:

Given

[tex]Balls = 4[/tex]

[tex]n = 4[/tex] --- selection

Required

The expected distinct colored balls

The probability of selecting one of the 4 balls is:

[tex]P = \frac{1}{4}[/tex]

The probability of selecting different balls in each selection is:

[tex]Pr = (\frac{1}{4})^n[/tex]

Substitute 4 for n

[tex]Pr = (\frac{1}{4})^4[/tex]

[tex]Pr = \frac{1}{256}[/tex]

The number of arrangement of the 4 balls is:

[tex]Arrangement = 4![/tex]

So, we have:

[tex]Arrangement = 4*3*2*1[/tex]

[tex]Arrangement = 24[/tex]

The expected number of distinct color is:

[tex]Expected = Arrangement * Pr[/tex]

[tex]Expected = 24 * \frac{1}{256}[/tex]

[tex]Expected = \frac{3}{32}[/tex]

[tex]Expected = 0.09375[/tex]

Which line is parallel to the line given below?
x - 3y = 24
a. y = -x + 3
b. y = -3x - 1
c. y = 3x + 8
d. y=-x-4

Answers

Answer:

x - 3y = 24

B. y = -3x - 1

Step-by-step explanation:

Hope it helped.

° ° °

A shopkeeper sold a piece of kurta salwar for rs. 1080 at a loss of 10%.At what price should he sell to gain 10% on it​

Answers

Answer:

1320 Rs.

Step-by-step explanation:

let cost price=x

loss=10 %

S.P.=x×90/100=9x/10

9x/10=1080

x=1080×10/9=1200 Rs

so C.P.=1200 Rs

gain=10%

S.P.=110/100×1200=1320 Rs

A 100m mast is supported by six cables in two sets of three cables. They are anchored to the ground at an equal distance from the mast. The top set of three cables is attached at a point 20m below the top of the mast. Each cable in the lower set of three cables is 60m long and is attached at a height of 30m above the ground. If all the cables have to be replaced, find the total length of cable required?

Answers

Answer:

60

would be right

Step-by-step explanation:

Total length of cable required is 466.18 m.

What is Pythagoras theorem?

Pythagoras theorem states that In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

According to the question

A 100m mast is supported by six cables in two sets of three cables.

They are anchored to the ground at an equal distance from the mast.

The top set of three cables is attached at a point 20m below the top of the mast.

Each cable in the lower set of three cables is 60m long and is attached at a height of 30m above the ground.

One set of guy wires (1 upper and one lower have two right triangles which can solve

The lower right triangle

a = distance from the pole to guy tie point

b = 30 m

c = 60 m the lower guy wire (the hypotenuse)

Using Pythagoras theorem

[tex]a^{2} +30^{2} =60^{2}[/tex]

⇒ [tex]a^{2} = 3600 - 900[/tex]

⇒ [tex]a^{2} =2700[/tex]

⇒ [tex]a = \sqrt{2700}[/tex]

⇒ [tex]a = 51.96[/tex] m from the pole to the tie point.

The other triangle using upper guy wire as the hypotenuse (h) tied to a point on the pole 80 m from the ground (20 m from the top) and also 50m from the tie point.

Using Pythagoras theorem

[tex]h^{2} =(51.96)^{2} +80^{2}[/tex]

⇒ [tex]h^{2}=2700+6400[/tex]

⇒ [tex]h^{2}=9100[/tex]

⇒ [tex]h = \sqrt{9100}[/tex]

⇒ [tex]h = 95.39[/tex] m , the length of the upper guy wire

For one set of guy wires (1 upper & 1 lower):

= 95.39 + 60

= 155.39 m

For 3 sets of guy wires :

= 3(155.39)

= 466.18 m of wire required

Hence, total length of cable required is 466.18 m.

Find out more information about Pythagoras theorem here

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I need help asap!!Explain how to do the problem

Answers

Answer:

Step-by-step explanation:

the scale factor is 2. one length is 10, and the other is 5. pythagorean therom approved.

What is the length of the radius of a cylinder if the diagonal is 15 mm and the height is 12 mm?

Answers

Answer:

Step-by-step explanation:

Let d and r be the diameter and radius, respectively.

d² + 12² = 15²

d² = 15² - 12² = 81

d = √81 = 9

r = d÷2 = 4.5 mm

what is 7/8 divided by 1/8

Answers

Answer:

7

Step-by-step explanation:

Concepts:

Division: a system of distributing a collection of things into equal partsFractions: #s that represent a part of a wholeDividing Fractions: dividing a fraction by another fraction = multiplying the fraction by the inverse (reciprocal) of the other oneInverse Operations: operations that are opposite of each other (e.g. inverse of addition is subtraction)

Solving:

1. First, let's set up the equation:

7/8 ÷ 1/8

2. We can get the reciprocal of 1/8 by doing the opposite of division; multiplication. 1/8 becomes 1 · 8, and that's equal to 8.

3. Now, since we know dividing a fraction by another one is exactly the same as multiplying the fraction by the reciprocal of the other, let's multiply 7/8 by the inverse of 1/8, which is 8.

7/8 · 8 = 56/8 = 7

Therefore, 7/8 divided by 1/8 is equal to 7.

find the missing side of the triangle​

Answers

Answer:

x = 40

Step-by-step explanation:

3-4-5 triangle scale factor by 10

Missing side is 4

4*10 = 40 | Multiply by 10 bc of scale factor

x = 40

Answer + explanation:

Answer: 40

To find a missing side length, use Pythagorean Theorem.

Pythagorean Theorem: a^2 + b^2 = c^2 where a = x (in this case) b = 30 and c = 50

a^2 + 30^2 = 50^2

a^2 + 900 = 2500

a^2 = 2500 - 900

a^2 = 1600

square root 1600 = 40

the missing side length of the triangle is 40

3. Grace has twice as much money as tad
Together they have $36. How much Money
des Tad have?

Answers

Answer:

Tad has 12 dollars and Grace has 24

Step-by-step explanation:

Grace has twice as much, 24 is double 12. So Tad has 12 dollars.

what is the equation of the line that is parallel to the given line and passes through the point (-3,2)? no links.

Answers

Answer:

D) 4x +3y = -6

Step-by-step explanation:

paralell lines so m1 and m2 are equal

m = (3 +1 )/ (0 - 3 )

m = -4/ 3

y -2 = -4/3 (x +3)

y =-4x/3 -2

3y = -4x -6

4x +3y = -6

find the measure of the indicated angle to the nearest degree​

Answers

Answer:

71°

Step-by-step explanation:

12/36 = 1/3

inverse cos(1/3) = 70.53 = 71

HELP I NEED HELP PLS IM FAILING ITS PYTHAGOREAN THEOREM

Answers

2^2 + 2^2 = h^2

8 = h^2

√8 = h

h = 2.82mm

Answered by Gauthmath must click thanks and mark brainliest

WILL GIVE BRAINLIEST TO THE CORRECT ANSWER!!


Suppose you obtain a five-year lease for a Porsche and negotiate a selling price of $146,000. The annual interest rate is 8.4%, the residual value is $75,000, and you make a down payment of $3000. Find each of the following.

A.) The net capitalized cost.

B.) The money factor. (Rounded to four decimal places)

C.) The average monthly finance charge. (Rounded to the nearest cent).

D.) The average monthly depreciation. (Rounded to the nearest cent.)

E.) The monthly lease payment. (Rounded to the nearest cent.)

Answers

Answer:

Look down below

Step-by-step explanation:

A.)Net capitalized cost=146,000-3000= $143,000

Net capitalized cost = 143,000

B.)Money factor=8.4/100 over 24=0.084/24=0.0035

Money Factor= 0.0035

C.)Average monthly finance charge= (143,000+75,000)x 0.0035= 218,000 x 0.0035=$763

Average Monthly Finance Charge= $763

D.)Average monthly depreciation= 143,000-75000/5 x 12=68000/60=$1133.33

Average monthly deprecation= $1133.33

E.)monthly lease payment=1133.33/5= $226.66

Monthly lease payment= $226.66

Marking brainliest

If a job interview says “tell me about yourself” what do u say

Answers

Answer:

I start to say from my name,age,family,qualifications and etc.

Answer:

In your response, do the following:

1. Mention past experiences and proven successes as they relate to the position.

Begin by rereading the job description. Take note of the required skills that you have, and identify recent stories that demonstrate them . Ideally, you should draw primarily from recent professional experience; however, volunteer work can also support your narrative while demonstrating a commitment to your community.

2. Consider how your current job relates to the job you’re applying for.

Is it a more senior role? If so, explain how you are taking on more responsibilities in your current position. If you are making a lateral transition to a role with different skills, describe how your current skills translate into the new position.

3. Focus on strengths and abilities that you can support with examples.

When you start building the script of each example, focus on details and outcomes that you can quantify if possible. For example, stating that you “improved customer service” is less impactful than “increased customer service response rates each quarter by 10–15%.” If you don’t have the exact information, estimate a realistic value.

4. Highlight your personality to break the ice.

Since the “Tell me about yourself” interview question is about getting to know you, it’s a good idea to share your personality with your interviewer—but not personal details. You may want to briefly mention hobbies that demonstrate intellectual development and/or community engagement (e.g., reading, music, sports league, volunteering) or those that showcase personal discipline and achievement (e.g., learning a new skill, training for a half marathon). Discussing personal interests is a good way to wrap up your response while maintaining a professional tone.

5. Format your response.

For your response to be clear and concise, you’ll want to make sure you organize your answer following a format or formula. There are two common formulas you may consider:

Present, Past, FuturePast, Present, Future

Both of these formulas work for your response, but you may choose one over the other based on the roles from your experience that are most relevant to the position you're interviewing for. For example, if your most recent role highlights many of the skills and qualifications that are required for the role you’re interviewing with, you may want to lead with the present. However, if you're making a career transition and your past experience is more closely related to the role than your current position, you may want to lead with your past.

Could someone help me out?

Answers

Answers:

DE = 1.1DF = 1.6BC = 4.8

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

Explanation:

I recommend drawing the two triangles as shown below. The diagram isn't to scale, but all that matters is that we get the general idea down.

Your teacher gave you this info:

angle A = angle E (red angles)angle C = angle F (blue angles)

These two pieces of info are enough to prove that triangle ABC is similar to triangle EDF. Use the angle angle (AA) similarity theorem to do this proof. The order of the lettering matters because it helps us see how the letters pair up.

A and E go firstB and D in the middleC and F go last

Since the triangles are similar, the scale factor to go from ABC to EDF is EF/AC = 2/6 = 1/3

In other words, the side lengths of triangle EDF are exactly 1/3 that of the corresponding lengths of ABC. Or we can reverse things to say the sides of ABC are 3 times longer than the sides of EDF.

----------------------

Use this scale factor to help determine the missing length ED.

(ED)/(AB) = scale factor

(ED)/(AB) = 1/3

(ED)/(3.3) = 1/3

ED = (1/3)*(3.3)

ED = 1.1

Note how ED/AB = (1.1)/(3.3) = 11/33 = 1/3

----------------------

While we don't know how long sides BC or DF are, we are told that DF is 3.2 units shorter compared to BC.

This means

DF = BC - 3.2

DF = x - 3.2

Then we can say,

(DF)/(BC) = scale factor

(x-3.2)/(x) = 1/3

3(x - 3.2) = x*1

3x - 9.6 = x

3x - x = 9.6

2x = 9.6

x = (9.6)/2

x = 4.8

So BC is x = 4.8 units long and DF is x-3.2 = 4.8-3.2 = 1.6 units long

show that's ABE = EBC ​

Answers

Answer:

abe = ebc

Step-by-step explanation:

bcos both the seperate angels have the same degree

Since ABD + DBE = DBE + EBC, so ABE = EBC

A trucking company determined that the distance traveled per truck per year is normally​ distributed, with a mean of thousand miles and a standard deviation of thousand miles. Complete parts​ (a) through​ (d) below.

Answers

Complete question is;

A trucking company determined that the distance traveled per truck per year in its entire fleet was normally distributed with a mean of 55 thousand miles and a standard deviation of 11 thousand miles.

a)A truck in the fleet traveled 42 thousand miles in the last vear. Calculate the z-score for this truck.

b) Interpret the z-score

c) The trucking company has a policy that any truck with mileage more than 2.5 standard deviations above the mean should be removed from the road and inspected. What is the probability that a randomly selected truck from the fleet will have to be inspected?

d) A randomly selected truck in the fleet traveled 85 thousand miles in the last year. Should this truck be removed from the road and inspected? Explain why or why not.

Answer:

A) z = - 1.18

B) Interpretation of the z-score in A above shows that the distance traveled per truck per year in its entire fleet is 1.18 standard deviations lesser than the distance traveled per truck on average

C) P(z > 2.5) = 0.0062

D) it's value of z is greater than 2.5 minimum and so the truck will be removed from the road and inspected

Step-by-step explanation:

A) We are given;

Population mean; μ = 55000

Sample mean; x¯ = 42000

Standard deviation; σ = 11000

Z-score formula is;

z = (x¯ - μ)/σ

z = (42000 - 55000)/11000

z = - 1.18

B) Interpretation of the z-score in A above shows that the distance traveled per truck per year in its entire fleet is 1.18 standard deviations lesser than the distance traveled per truck on average.

C) since it has a policy that any truck with mileage more than 2.5 standard deviations above the mean should be removed from the road and inspected, then it means that probability that it will be inspected is;

P(z > 2.5) = 1 - P(z < 2.5)

From p-values from z-score table, we have;

P(z > 2.5) = 1 - 0.9938

P(z > 2.5) = 0.0062

D) A randomly selected truck in the fleet traveled 85 thousand miles in the last year. Thus; x¯ = 85000.

Thus;

z = (85000 - 55000)/11000

z = 2.73

This value of z is greater than 2.5 minimum and so the truck will be removed from the road and inspected

On the midnight shift, the number of patients with head trauma in an emergency room has the probability distribution shown below. x 0 1 2 3 4 5 Total P(x) .07 .36 .27 .17 .10 .03 1.00

Answers

Answer:

1.96 ;

1.216

Step-by-step explanation:

Given the data :

x : __0 _ 1 _ 2 _ 3 _4 _5 Total

P(x) .07 .36 .27 .17 .10 .03 1.00

. The mean, also called the expected value is defined as ;

E(X) = Σx*p(x)

E(X) = (0*0.07) + (1*0.36) + (2*0.27) + (3*0.17) + (4*0.10) + (5*0.03) = 1.96

The standard deviation, ; √var(x)

Var(X) = Σx²*p(x) - E(X)²

Var(X) = [(0² * 0.07) + (1² * 0.36) + (2² * 0.27) + (3² * 0.17) + (4² * 0.10) + (5² * 0.03)] - 1.96²

Var(X) = 5.32 - 3.8416

Var(X) =14784

SD(X) = √1. 4784 = 1.216

find the missing side of the triangle

Answers

Answer:

7 sqrt(2) = c

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

7^2 + 7^2 = x^2

49+49 = c^2

98 = c^2

Taking the square root of each side

sqrt(98) = sqrt(c^2)

sqrt(49*2) = c

7 sqrt(2) = c

Find the GCF for:
uv, ut

Answers

The answer would be I
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