Suppose that E and F are points on the number line. If EF=5 and F lies at -3, where could E be located?

Answers

Answer 1

Answer:

There are two possible locations. E could be located in either -8 or 2.

Step-by-step explanation:

The number line is a one-dimensional graphing model for real numbers, in which each element is represented by points. Under this system, there are two directions:

[tex]-x[/tex] - Left semiaxis that corresponds to negative real numbers.

[tex]+x[/tex] - Right semiaxis that corresponds to positive real numbers.

Both semiaxis are divided by origin, which represents the real number zero.

Let E and F points on the number. If we know that [tex]F = -3[/tex] and [tex]EF = 5[/tex], there are two choices for the location of E. That is:

[tex]E_{1} = F+EF[/tex]

[tex]E_{1} = -3+5[/tex]

[tex]E_{1} = 2[/tex]

[tex]E_{2} = F-EF[/tex]

[tex]E_{2} = -3 -5[/tex]

[tex]E_{2} = -8[/tex]

There are two possible locations. E could be located in either -8 or 2.


Related Questions

The time it takes to completely clean an office building follows an exponential distribution with a mean of 135 minutes. What is the probability of cleaning an office building in 135 minutes or less?

Answers

Answer:

0.63212

Step-by-step explanation:

Given that :

Mean cleaning time (μ) = 135

Probability of cleaning the office is 135 minutes or less

Using an exponential distribution probability calculator :

P(X ≤ 135) = 0.63212

Tiara is making a new dance outfit. She will need 3 2/3 yards of fabric for a shawl. She also needs 1 3/5 yards of fabric for the dress. She is fortunate enough to already have 2 yards of fabric in her possession. If the current price for fabric is $6.75 per yard, how much money will she need to finish her dance outfit?​

Answers

Answer: 22.05

Step-by-step explanation:

3 2/3 = 3 10/15

1 3/5 = 1 9/15

1 9/15 + 3 10/15 = 4 19/15 = 5 4/15

5 4/15 - 2 = 3 4/15

6.75 x 3 = 20.25

6.75 x 4/15 = 1.80

1.80 + 20.25 = 22.05

Hope this Helps!

(Let me know if you want me to explain how I did the 4/15 part!)

Find the exponential function that satisfies the given conditions: initial value = 70, decreasing at a rate of 0.43% per week

Answer choices:
A) f(t) = 70 x 0.9957^t
B) f(t) = 70 x 1.43^t
C) f(t) = 0.43 x 0.3^t
D) f(t) = 70 x 1.0043^t

Answers

Answer:

a- just took the test

Step-by-step explanation:

Convert to decimal form: 1.118×10−6.

Answers

Answer: 1.118*10-6=5.18

Patricia and Emma work together. They both have the same amount of money invested in their portfolios. Their investments are listed in the table. Two months ago, the company Patricia and Emma work for started incurring losses, and now its share price has started falling. Which statement is correct given the scenario?

Patricia’s Investmentscompany stocks, bonds, mutual funds, domestic stocks, and international stocksEmma’s Investmentscompany stocks

A. 

Patricia’s portfolio will be affected the most because she has too many assets in her portfolio.

B. 

Emma’s portfolio will be affected the most because it is limited to company stock.

C. 

Neither portfolio will be significantly affected because both have a good mix of assets.

D. 

Both portfolios will be equally affected because both have an equal amount of company stock.



Answers

Answer:

I believe it would be B, hoped I helped :)

Step-by-step explanation:

The statement that is correct given the scenario is: B. Emma’s portfolio will be affected the most because it is limited to company stock.

Portfolio

Since both of them have the equal money invested in their portfolios in which the company the both work for started incurring losses this tend to means that Emma   portfolio will be affected the most by the loss that was incurred.

The reason why Emma portfolio will be most affected  is because his portfolio is limited to the company stock compare to that of Patricia’s

Therefore the correct option is B.

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The reciprocal of - 4 3/4 is

Answers

Answer:

-4/19

Step-by-step explanation:

1. The first step to finding the reciprocal of -4 3/4 is to convert it into an improper fraction. To do that, multiply the -4 by the denominator, 4, and add the answer to the numerator, 3. The answer should come out to -19/4.

2. Now we have to find the reciprocal of -19/4 by flipping the denominator with the numerator, which is -4/19.

PLZ HELP BASIC c ALGEBRA BRAINLIEST TO QUICKEST ANSWER
Biologists have found that the number of chips some crickets make per minute are related to temperature. When crickets chirp 124 times a minute it is about 68 degrees Fahrenheit. When they chirp 172 times a minute, it is about 80 degrees Fahrenheit.

Write an equation in Slope Intercept, Standard, or Point Slope form that represents the situation.

Answers

The standard linear equation is:
mx + b = y

So here's what we know:
68x + b = 124
80x + b = 172

If we invert the first equation, we can get rid of b and thus isolate x:
80x + b = 172
-68x - b = -124
12x = 48
x = 12

Now that we have x, we can solve for b:
68 * 4 + b = 124
272 + b = 124
b = -148

Let's check our answer:
80*4 - 148 = 172
320 - 148 = 172
172 = 172

So our final equation is:
4 * Temp - 148 = chirps

Melissa averages a rate of 1.5 steps per second while walking. How many steps will she take in an hour if this rate continues?

Answers

Answer:

5400

Step-by-step explanation:

1.5×60=90 steps per min

90×60=5400 steps per hour

What the area of 149m and 76m

Answers

Answer:

11324

Step-by-step explanation:

Area= B x H so 149 x 76= 11324

Answer:

The perimeter is 550 meters.

Step-by-step explanation:

What is the domain for...
y=0.25x-12

Answers

Answer:

Domain: (-infinity,infinity)

Step-by-step explanation:

You're welcome. :)

(I couldn't write the infinity symbol so I wrote infinity.)

. It takes 11 widgets to assemble one motor. Your team can assemble four motors in one day. If you need to order parts for next week (5 working days), how many widgets should you order?

Answers

Number of widgets needed to make one motor = 11

Number of motors made each day = 4

Number of widgets used per day :-

= 4 × 11

= 44 widgets

Number of widgets I need to order for the next five days of the upcoming week :-

= 44 × 5

= 220 widgets

Therefore , my team should order 220 widgets for the next week ( 5 working days ) .

Answer:

Your answer should be 220 widgets

Step-by-step explanation:

Becasue if you have 11 in one motor and you build four a day then multiply 4 and 11 to get 44. Then you see that you get 44 widgets in a day you multiply 44 by the number of working days which is 5. So after multiplying you get 220 widgets per week.

Tell me if this is the correct answer

4(1-x)+2x=-3(x+1) solve for X

Answers

Answer:

x=-7

Step-by-step explanation:

4(1-x)+2x=-3(x+1)

4-4x+2x=-3x-3

4-2x=-3x-3

-2x=-3x-7

x=-7

25x 10 ^ 6 in standard form ​

Answers

25x10⁶ = 2.5x10⁷=25000000

#Learn more

-34/51 in standard form​

brainly.in/question/12244412

In how many different ways can a ski club consisting of 15 people selected a team for national championship? There are 4 spots available on the team going to national championship.

Answers

Answer:

Step-by-step explanation:

Combination has to selection. When selecting 4 people out of a pool of  15 people, this can be done as thus according to combination formuka:

15C4 = 15!/(15-4)!4!

15C4 = 15!/11!4!

15C4 = 15*14*13*12*11!/11!*4*3*2

15C4 =  15*14*13*12/24

15C4 = 32760/24

15C4 = 1365 different ways.

Hence this can be done in 1365 different ways

Salty's Surf Shop loses $35,000 during cold, rainy summers and profits $175,000 during summers that

are hot and dry. The probability that it will be hot and dry during summers is 30%. What is the expected

profit Salty would realize over 10 years?

Answers

Answer:

$280,000

Step-by-step explanation:

Given that:

Loss during cold = $35000

P(hot and dry) = 30% = 0.3

Hence ; P(cold) = 1 - 0.3 = 0.7

Profit during hot and dry= $175,000

Expected profit over 10 years =?

________Hot & Dry __________ Cold __

X : _______ 175,000 ________ -35,000

P(X) : _______ 0.3 ____________ 0.7

Expected probability (E(X)) = Σx*p(x)

= 0.3(175,000) + 0.7(-35,000)

= 52,500 + (-24,500)

= $28,000

Hence, expected profit over 10 years :

$28,000 * 10 = $280,000

HELP ME PLEASE I ALREADY GRAPHED IT BUT PLEASE ANSWER THE QUESTION BELOW


Answers

Answer:

32ed

Step-by-step explanation:

Please help!
Simplify the expression using order of operations:25 - 5 + 36/9 - 6(7)

Answers

Answer:

-18

Step-by-step explanation:

Follow these steps to get your answer!

Divide 36/9 and multiply -6(7)

25 - 5 + 4 - 42

Subtract 25-5

20 + 4 -42

Add 4 to 20.

24-42

Subtract 42 from 24.

-18

Answer:

-18

Step-by-step explanation:

start with the figure in brackets. 6(7)=42

then do division. 36/9=4

our expression now is 25-5+4-42

addition first 25+4=29

finish with subtraction. 29-5-42=-18

answer=-18

find the rate of change ffor Y=4/5x-7/5

Answers

Answer:

4/5

Step-by-step explanation:

thats the slope so im assuming

Match the pronoun type to the example.

1. personal
many
2. reflexive
those
3. relative
her
4. possessive
whom
5. interrogative
himself
6. demonstrative
what
7. indefinite
we
HELP 100 POINTS

Answers

Answer:

1.  Personal = We

2. Reflexive = Himself

3. Relative = Whom

4. Possessive = Her

5. Interrogative = What

6. Demonstrative = Those

7. Indefinite = Many

Hope this helps.

Answer:

1. Personal = I,We,they

2. Reflexive = Himself,herself, themselves, ourselves

3. Relative :Whom,who

4. Possessive = Her,him,

5. Interrogative = What,why,how,which,

6. Demonstrative :Those,these,that

7. Indefinite = Many,someone,

estimate for 6 x 9 1/3​

Answers

Answer:

Exact Form:

54/13

Decimal Form:

4.153846

Mixed Number Form:

4 2/13

Step-by-step explanation:

what is the branch of mathematics that uses variables and operations?

Answers

Answer:

Algebra

Step-by-step explanation:

Answer:

algebra, you can check on google as well

Jacob ordered 4 pizzas to be delivered.



Each pizza costs $12.75.
Jacob gave the driver an $8 tip when the pizzas were delivered.


Which of the following expressions could be used to determine Jacob’s total cost?


A. 4(12.75 + 8)
A., , 4(12.75 + 8)

B. 4(12.75 )+ 8
B., , 4(12.75 )+ 8

C. 4(8) + 12.75
C. , , 4(8) + 12.75

D. 4(12.75 − 8)
D. , , 4(12.75 − 8)

Answers

Answer:

give them brainliest

Step-by-step explanation:

Sandra sets the cruise control in her car to 67 miles per hour when she goes on road trips. Which equation can be used to find how many hours, h, it will take her to drive m miles at her constant speed?

Answers

Answer:

A. [tex]\frac{m}{65} = h[/tex]  

I hope this helps!

The Insurance Institute for Highway Safety publishes data on the total damage suffered by compact automobiles in a series of controlled, low-speed collisions. The cost for a sample of 9 cars, in hundreds of dollars, is provided below: 10,6,8,10,4,3.5,7.5,8,9 (a) What is the median cost of the total damage suffered for this sample of cars? (b) What is the first quartile for the above data? (c) What is the interquartile range of the above data? (d) What is the mean of the total damage suffered for this sample of cars? (e) Using the correct units, what is the value of the variance?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the cost data: 10,6,8,10,4,3.5,7.5,8,9

A.) Median cost :

Sorted data:

3.5, 4, 6, 7.5, 8, 8, 9, 10, 10

0.5(n + 1)th term ; n = number of samples

0.5(9 + 1)th term

= 0.5(10)th term = 5th term

Median = 5th term = 8

B.) First quartile (Q1) :

0.25(n + 1)th term ; n = number of samples

0.25(9 + 1)th term

= 0.25(10)th term = 2.5th term

Q1 = (2nd term + 3rd term) / 2 = (4+6)/2 = 10/2 = 5

Q1 = 5

C.) interquartile range = (Q3 - Q1)

Q3 = 0.75(n + 1)th term ; n = number of samples

0.75(9 + 1)th term

= 0.75(10)th term = 7.5th term

Q3 = (7th term + 8th term) / 2 = (9+10)/2 = 19/2 = 9.5

Q3 = 9.5

Q3 - Q1 = (9.5 - 5) = 4.5

D.) Mean (μ) :

μ = ΣX / n

n = sample size

μ =(10+ 6 + 8 + 10+ 4 + 3.5 + 7.5 + 8 + 9) / 9

μ = 66 / 9

μ = 7.33

3.) Population variance (s²)

Σ(x - μ)² / n - 1

=[(10 - 7.33)^2 + (6 - 7.33)^2 + (8 - 7.33)^2 + (10 - 7.33)^2 + (4 - 7.33)^2 + (3.5 - 7.33)^2 + (7.5 - 7.33)^2 + (8 - 7.33)^2 + (9 - 7.33)^2] / 9

= 45.5001 / 8

= 5.687

During game play, Juan threw 2 darts onto the board. Determine the likelihood of the scores Juan could get with his two throws. 4 or greater: 14: 16:

Answers

Answer: likely, impossible, unlikely

Step-by-step explanation:

i got it right

Answer:

Step-by-step explanation:

4 or greater:

likely

14:

impossible

16:

unlikely

Write an equation of the line that passes through (2, 7) and (0, −5).

Answers

Answer:y=6x-5

Step-by-step explanation:

Daredevil Danny takes a practice jump as shown on the graph below. Complete the steps to determine the equation for the parabolic trajectory of his practice jump.

a) What are the key aspects of any parabola? What do the key aspects tell you about the graph?

(5 points)


It goes all the way up to its max point and comes down. Its max point is 32 and how far it went was from 15 to 35


b) What are the key aspects of Daredevil Danny’s practice jump shown in the graph provided? Describe each value and how it is determined. (10 points)


It is a standard form graph and he needs to figure out the speed he is going to go and the angle


Step 2: Solve for coefficient a.

a) What equation is used to find the vertex form of a parabola with the vertex (h, k)? (5 points)


F(x)=ax2+bx+c

b) Solve for the coefficient a in the vertex form for the parabola in Daredevil Danny’s practice jump using key aspects from step 1. As you solve for the coefficient, explain each step of the process in detail. (15 points)



The picture of the question in the attached figure we know that The equation of a vertical parabola in vertex form is given by where a is the leading coefficient (h,k) is the vertex Looking at the graph we have a vertical parabola open downward (coefficient a is negative)The vertex is a maximum The vertex is the point (25.32) substitute in the equation













c) What is the vertex form of the parabola from Daredevil Danny’s practice jump? (5 points)


f(x)=-12/25(x-25)^2+32

Step 3: Change from vertex form to standard form.

To get Daredevil Danny through the Flaming Hoop Jump of Awesome, you will need to know the values of a, b, and c, which are the coefficients of the quadratic equation in standard form.

a) What is the equation for a parabola in standard form? (5 points)

y = ax^2 + bx + ct




b) Convert the vertex form of the equation you wrote above to standard form. (10 points)







c) What are the values for coefficients a, b, and c in the quadratic equation for Daredevil Danny’s practice jump? (5 points)






Step 4: Calculate the equation for the flaming hoop jump.

Using the same method for the practice jump, write the standard form of the equation that will get Daredevil Danny safely through the Flaming Hoop Jump of Awesome!

a) Write the vertex form by substituting in values for x, y, h, and k, and then solve for a. Show your work. (10 points)










b) Determine the values of a, b, and c. Show your work. (10 points)



c) Using your values of a, b, and c, did Daredevil Danny successfully pass through the Flaming Hoop Jump of Awesome? If not, describe what happened. Then, go back to critique your work and revise it. Write about your revision. (5 points)



d) Once you have determined the correct values of a, b, and c, verify algebraically that Daredevil Danny will successfully pass through the Flaming Hoop Jump of Awesome. (5 points)


Please help I only need help with steps 2 and 3!

Answers

Answer:

Step 2:

Part A

f(x) = a(x-h)^2 +k

Part B

I'm not really sure about this part

Part C

f(x)=-12/25(x-25)^2+32

Step 3:

Part A

y = ax^2 + bx + c

Part B

f(x) = -12/25(x - 25)^2 + 32

Part C

a = -12/25

b = 0

c = 32

Step-by-step explanation:

Hope This Helps!

Sorry For Taking So Long!

Answer:

For Step 3 Part B, the equation is

Step-by-step explanation:

f(x)= -0.48xˆ2+24x-268

Hector has 11 model trains. On each model train there are 8 wheels. In total, how many wheels are on Hector’s model trains?

Answers

Answer:

I think the answer is 88 wheels.

Step-by-step explanation:

You multiple 11 and 8 to get your answer or you can take 8+8+8+8+8+8+8+8+8+8+8 to get your answer.

What is the simplified form of this expression (6^-4)-9 over 6^6

Answers

Answer:hope this helps

Step-by-step explanation:

There are 20 circles and 12 triangles. What is the simplest ratio of triangles to total shapes

Answers

Answer:

3:8

Step-by-step explanation:

You can divide both numbers by 4, that gets you to your simplest ratio. :)

The ratio of the triangles to the total shape will be equal to 3: 8.

What are ratios and proportions?

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.

For instance, if there is 1 boy and 3 girls, you may express the ratio as 1: 3 (there are 3 girls for every boy), meaning that there are 1 in 4 boys and 3 in 4 girls.

Given that there are 20 circles and 12 triangles. The ratio will be calculated as,

Ratio = triangles / total shape

Ratio = 12 / ( 20+ 12 )

Ratio = 12 / 32

Ratio = 3 / 8

Therefore, the ratio of the triangles to the total shape will be equal to 3: 8.

To know more about ratios and proportions follow

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