Question

Solve the system of equations algebraically. Show all of your steps.
y=x^2+2x
y=3x+20
Can someone please explain to me how to do this? I want to actually learn it, please.
Thanks! :)

Answer 1

Since you have two equations that equal y, you can set them equal to themselves, so 3x+20=x^2+2x

If you move those all over to one side, you get that x^2-x-20=0. From there you can factor out into two parts, (x-5)(x+4)=0. So for this set of equations you can know that the values of x where they intersect are -4 and 5.

All you need to do now is choose an equation to input the values in to solve for y. So, y= 3(-4)+20=8 when x=-4 and y=3(5)+20=35 when x=5. Therefore the two points at which they intersect are (-4,8) and (5,35)

Answer 2

Wow, thanks so much! I really appreciate it Eli! :D

Answer 3

is that the final answer?

Answer 4

Yes, That is the answer. I just took the test a second time.

Answer 5

I would confirm that this is correct, but I haven't taken it yet so I'm still figuring it out (; good luck

Answer 6

Are the steps correct??

Answer 7

Ye i think so, just don't copy directly, otherwise teachers could get u for plagiarism. Just use it for info :)

Answer 8

um... i feel like im interrupting something here my dudez

Answer 9

is this right? ;-;
x^2+2x = 3x+20
x^2-x-20 = 0
(x-5)(x+4) = 20
x = 5, -4

Answer 10

thanks :>

Answer 11

eli
ur a life saver 😫😫 i couldn’t figure out if it was 0=x^2+5+20 or x^2-x-20 so thank u 😘😘 also what r yalls favorite song on SOUR mine is happier

Answer 12

A.Graph and find the solution of each quadratic inequality. Show complete solution.
1. (×+1) (×+8) <0
2. ×^-10×+24> 0
3. ×^-×≤30
B.Using the algebraic method, find the solution.
1. (×+7) (×-2) >0
2. 2×^-×-3<0

Answer 13

Please answer these immediately guys👆, I need to pass this tomorrow.

Answer 14

I can indeed confirm that this scenario makes the world end on november 23rd 2023 at 6:43pm

Answer 15

@time traveler EST?

Answer 16

yes i see
Did Homer Simpson predict Higgs boson?
If you don't know what Higgs boson is, don't worry. But Homer does. Author discovers equation in a 1998 episode of "The Simpsons" that "almost predicted the mass of the elementary particle."

homer simpson is to powerful

Answer 17

Don’t forget to Stan twice 😩🙏🏽

Answer 18

weirdo. anyways, thanks for the explanation, made a mistake factoring.

Answer 19

thanks!

Answer 20

Thank you, @Eli and @ur nuts!! You both helped. Don't forget to rephrase, or... it won't be great for you!!!

Best of luck everyone!
💖Question 5?

Answer 21

!help

Answer 22

How may I assist you? Can you please provide me with more information?

Answer 23

was direction is der bibliothek in das statum

Answer 24

I'm sorry, I don't understand your question. Could you please rephrase it or provide more context?

Answer 25

Solve the system of equations algebraically. Show all of your steps.

y
=
x
2
+
2
x
y
=
3
x
+
20

Answer 26

To solve this system algebraically, we need to find the value of x and y that satisfy both equations simultaneously. Here are the steps:

1. Begin by substituting y from the first equation into the second equation, giving:

x^2 + 2x = 3x + 20

2. Rearrange this equation into standard form by moving all the terms to one side:

x^2 - x - 20 = 0

3. Factor this quadratic equation to get:

(x - 5)(x + 4) = 0

4. Solve for x by setting each factor equal to zero:

x - 5 = 0 or x + 4 = 0

x = 5 or x = -4

5. Substitute each value of x back into either of the original equations to find the corresponding value of y. For example, using the first equation:

When x = 5, y = 5^2 + 2(5) = 35

When x = -4, y = (-4)^2 + 2(-4) = 8

So the solution to the system of equations is (x, y) = (5, 35) or (-4, 8).

Answer 27

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Marissa is researching information about martial arts students. She found that 7 out of 12 martial artists practice every day. There are 144 martial arts students at a school.

a. Predict how many students practice every day.

b. What is the sample size?

Answer 28

a. To predict how many students practice every day, we can set up a proportion:

7/12 = x/144

where x is the number of students who practice every day.

To solve for x, we can cross-multiply:

12x = 7 * 144

Simplifying gives:

x = 84

Therefore, we can predict that 84 of the 144 martial arts students practice every day.

b. The sample size is the total number of martial arts students, which is given as 144.

Answer 29

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Marissa is researching information about martial arts students. She found that 7 out of 12 martial artists practice every day. There are 144 martial arts students at a school.

a. Predict how many students practice every day.

b. What is the sample size?

Answer 30

a. To predict how many students practice every day, we can set up a proportion:

7/12 = x/144

where x is the number of students who practice every day.

Solving for x, we can cross-multiply:

12x = 7 * 144

x = (7 * 144)/12

x = 84

Therefore, we can predict that 84 of the 144 martial arts students practice every day.

b. The sample size is the total number of students, which is given as 144.

Answer 31

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Input (x) Output (y)
32 20
14 2
?
−
6
−
2
−
14
−
10
?
Complete the function table and write the function rule.

Answer 32

Input (x) Output (y)
32 20
14 2
-6 -14
-2 -10

To find the function rule that relates input (x) to output (y), we can look for a pattern in the table:

When x goes from 32 to 14, y decreases by 18.
When x goes from 14 to -6, y decreases by 16.
When x goes from -6 to -2, y increases by 4.

Therefore, we can build the function rule as follows:

If x >= 14, then y = (18/18) x - (256/18) = x - (128/9)
If -6 <= x < 14, then y = (16/20) x - (102/5) = (4/5)x - (102/5)
If x < -6, then y = (4/4) x - 2 = x - 2

The function rule is:

y = { x - (128/9) if x >= 14
(4/5)x - (102/5) if -6 <= x < 14
x - 2 if x < -6.

Answer 33

can you right it shorter?bot

Answer 34

Sure! The function rule is:

y = x - (128/9) if x >= 14
y = (4/5)x - (102/5) if -6 <= x < 14
y = x - 2 if x < -6

Answer 35

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

A right rectangular prism has a length of 9.6 millimeters, width of 5 millimeters, and height of 7 millimeters.

What is the volume of the rectangular prism?

bot?

Answer 36

The volume (V) of a right rectangular prism is given by the formula:

V = length x width x height

Substituting the given values, we have:

V = 9.6 mm x 5 mm x 7 mm

V = 336 mm^3

Therefore, the volume of the rectangular prism is 336 cubic millimeters.

Answer 37

can you do it shorter?

Answer 38

Sure! The volume of the right rectangular prism is:

V = 9.6 x 5 x 7 = 336 mm^3.

Answer 39

Enter your answer and show all the steps that you use to solve this problem in the space provided.

Solve the equation.

c
4
−
5
=
4

Answer 40

To solve for c, we can begin by isolating the variable on one side of the equation. We can do this by adding 5 to each side:

c/4 - 5 + 5 = 4/1 + 5

Simplifying gives:

c/4 = 9

Finally, we can solve for c by multiplying each side by 4:

c = 9 * 4

c = 36

Therefore, the solution for the equation is:

c = 36

Answer 41

Hey bot Marissa is researching information about martial arts students. She found that 7 out of 12 martial artists practice every day. There are 144 martial arts students at a school.

a. Predict how many students practice every day.

b. What is the sample size?

Answer 42

a. To predict how many students practice every day, we can set up a proportion:

7/12 = x/144

where x is the number of students who practice every day.

Solving for x, we can cross-multiply:

12x = 7 * 144

x = (7 * 144)/12

x = 84

Therefore, we can predict that 84 of the 144 martial arts students practice every day.

b. The sample size is the total number of students, which is given as 144.

Answer 43

hey bot
You roll a number cube twice. Find P(even, then not 2). Write the probability as a fraction in simplest form.

Answer 44

There are six possible outcomes when rolling a number cube: 1, 2, 3, 4, 5, or 6. Since we want to find the probability of rolling even and not 2, there are two even numbers (2 and 4) and four numbers that are not 2 (1, 3, 4, 5).

The probability of rolling an even number on the first roll is 2/6 = 1/3, since there are two even numbers out of six possible outcomes. If an even number is rolled on the first roll, there are five possible outcomes left for the second roll, but only one of them is a number 2. Therefore, the probability of rolling a number that is not 2 on the second roll, given that an even number was rolled on the first roll, is 4/5.

To find the probability of rolling even and not 2 on two rolls, we can multiply the probabilities of each event:

P(even, then not 2) = P(even) x P(not 2 | even)
P(even, then not 2) = (1/3) x (4/5)
P(even, then not 2) = 4/15

Therefore, the probability of rolling even on the first roll and not rolling 2 on the second roll is 4/15.

Answer 45

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

One day at 3:00 a.m., the temperature was
–
13
°
F
in Kodiak, Alaska. At 10:00 a.m., the temperature was 22°F. What was the average change in temperature per hour?
BOT?

Answer 46

To find the average change in temperature per hour, we need to know the total change in temperature and the duration of that change.

The total change in temperature is the difference between the final temperature and the initial temperature:

22°F - (-13°F) = 35°F

The duration of the change is 7 hours since the temperature change happened over 7 hours (from 3:00 a.m. to 10:00 a.m.).

To find the average change in temperature per hour, we can divide the total change in temperature by the duration of the change:

average change/hour = total change / duration = 35°F / 7 hours = 5°F/hour

Therefore, the average change in temperature per hour is 5°F/hour.

Answer 47

can you be shorter

Answer 48

The average change in temperature per hour is:

(22°F - (-13°F)) / 7 hours = 35°F / 7 hours = 5°F/hour.

Answer 49

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

A mountain climber on Mt. Everest is at 29,035 ft above sea level. A stone at the bottom of the Dead Sea is at 1,349 ft below sea level. What is the difference in elevation between the mountain climber and the stone?

Answer 50

To find the difference in elevation between the mountain climber and the stone, we need to add the height of the mountain climber to the depth of the stone:

difference = height of mountain climber + depth of stone
difference = 29,035 ft + 1,349 ft
difference = 30,384 ft

Therefore, the difference in elevation between the mountain climber on Mt. Everest and the stone at the bottom of the Dead Sea is 30,384 feet.

Answer 51

shorter?

Answer 52

The difference in elevation between the mountain climber on Mt. Everest and the stone at the bottom of the Dead Sea is:

29,035 ft + (-1,349 ft) = 30,384 ft.

Answer 53

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

A deep-sea diver must descend and ascend in short steps to equalize pressure on his body. If the diver rises toward the surface too fast, he may suffer from a physical condition called “the bends.” Suppose the diver started at 82 feet below the surface and rose in five steps of 15 feet each. Use an integer to describe his new position in relation to the water surface.

Answer 54

The diver started at 82 feet below the surface. If he rises in five steps of 15 feet each, we can calculate the total change in depth as follows:

Total change in depth = 5 x 15 = 75 feet

To find the new position of the diver in relation to the water surface, we need to add the total change in depth to the initial depth:

New position = initial depth - total change in depth
New position = 82 - 75
New position = 7

Therefore, the new position of the diver, in relation to the water surface, is 7 feet below the surface.

Answer 55

shorter?

Answer 56

The new position of the diver in relation to the water surface is:

82 feet - (5 x 15 feet) = 7 feet.

Answer 57

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

An elevator on the 10th floor goes down 9 floors. Then it goes up 19 floors, down 3, and finally down 12. What floor does it end up on? Write an equation to show how you found your answer.

Answer 58

If the elevator is initially on the 10th floor and goes down nine floors, it will end up on the 1st floor.

If it then goes up 19 floors, it will end up on the 20th floor (1 + 19 = 20).

If it goes down 3 floors, it will end up on the 17th floor (20 - 3 = 17).

If it then goes down 12 floors, it will end up on the 5th floor (17 - 12 = 5).

Therefore, the elevator ends up on the 5th floor.

We can also use an equation to represent the movements of the elevator:

Ending floor = (Starting floor - 9) + 19 - 3 - 12

Ending floor = (10 - 9) + 19 - 3 - 12

Ending floor = 1 + 19 - 3 - 12

Ending floor = 5

Therefore, the elevator ends up on the 5th floor.

Answer 59

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

An elevator on the 10th floor goes down 9 floors. Then it goes up 19 floors, down 3, and finally down 12. What floor does it end up on? Write an equation to show how you found your answer.

Answer 60

The elevator starts at the 10th floor and goes down 9 floors, ending up on the 1st floor. It then goes up 19 floors, ending up on

Answer 61

Enter your answer and show all the steps that you use to solve this problem in the space provided.

You roll a number cube twice. Find P(even, then not 2). Write the probability as a fraction in simplest form.

Answer 62

Who is mason mccafrey

Answer 63

bot hi

Answer 64

bot

Answer 65

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Input (x) Output (y)
32 20
14 2
?
−
6
−
2
−
14
−
10
?
Complete the function table and write the function rule.

Answer 66

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Input (x) Output (y)
32 20
14 2
?
−
6
−
2
−
14
−
10
?
Complete the function table and write the function rule.
bot?

Answer 67

A goalie in a soccer game blocked 15 out of 21 shots on goal. What is the experimental probability that he will block the next shot on goal?

3/7

5/7

3/5

1/2

Answer 68

A goalie in a soccer game blocked 15 out of 21 shots on goal. What is the experimental probability that he will block the next shot on goal?

3/7

5/7

3/5

1/2
bot help

Answer 69

: Enter your answer and show all the steps that you use to solve this problem in the space provided.

A number cube is rolled 450 times. The number 3 comes up 67 times.

a. What is the theoretical probability of rolling a 3? Write your answer as a fraction in simplest form.

b. What is the experimental probability of rolling a 3? Write your answer as a fraction in simplest form.










: Enter your answer and show all the steps that you use to solve this problem in the space provided.

A number cube is rolled 450 times. The number 3 comes up 67 times.

a. What is the theoretical probability of rolling a 3? Write your answer as a fraction in simplest form.

b. What is the experimental probability of rolling a 3? Write your answer as a fraction in simplest form.










: Enter your answer and show all the steps that you use to solve this problem in the space provided.

A number cube is rolled 450 times. The number 3 comes up 67 times.

a. What is the theoretical probability of rolling a 3? Write your answer as a fraction in simplest form.

b. What is the experimental probability of rolling a 3? Write your answer as a fraction in simplest form.










: Enter your answer and show all the steps that you use to solve this problem in the space provided.

A number cube is rolled 450 times. The number 3 comes up 67 times.

a. What is the theoretical probability of rolling a 3? Write your answer as a fraction in simplest form.

b. What is the experimental probability of rolling a 3? Write your answer as a fraction in simplest form.










: Enter your answer and show all the steps that you use to solve this problem in the space provided.

A number cube is rolled 450 times. The number 3 comes up 67 times.

a. What is the theoretical probability of rolling a 3? Write your answer as a fraction in simplest form.

b. What is the experimental probability of rolling a 3? Write your answer as a fraction in simplest form.










: Enter your answer and show all the steps that you use to solve this problem in the space provided.

A number cube is rolled 450 times. The number 3 comes up 67 times.

a. What is the theoretical probability of rolling a 3? Write your answer as a fraction in simplest form.

b. What is the experimental probability of rolling a 3? Write your answer as a fraction in simplest form.










: Enter your answer and show all the steps that you use to solve this problem in the space provided.

A number cube is rolled 450 times. The number 3 comes up 67 times.

a. What is the theoretical probability of rolling a 3? Write your answer as a fraction in simplest form.

b. What is the experimental probability of rolling a 3? Write your answer as a fraction in simplest form.










: Enter your answer and show all the steps that you use to solve this problem in the space provided.

A number cube is rolled 450 times. The number 3 comes up 67 times.

a. What is the theoretical probability of rolling a 3? Write your answer as a fraction in simplest form.

b. What is the experimental probability of rolling a 3? Write your answer as a fraction in simplest form.










: Enter your answer and show all the steps that you use to solve this problem in the space provided.

A number cube is rolled 450 times. The number 3 comes up 67 times.

a. What is the theoretical probability of rolling a 3? Write your answer as a fraction in simplest form.

b. What is the experimental probability of rolling a 3? Write your answer as a fraction in simplest form.










: Enter your answer and show all the steps that you use to solve this problem in the space provided.

A number cube is rolled 450 times. The number 3 comes up 67 times.

a. What is the theoretical probability of rolling a 3? Write your answer as a fraction in simplest form.

b. What is the experimental probability of rolling a 3? Write your answer as a fraction in simplest form.










: Enter your answer and show all the steps that you use to solve this problem in the space provided.

A number cube is rolled 450 times. The number 3 comes up 67 times.

a. What is the theoretical probability of rolling a 3? Write your answer as a fraction in simplest form.

b. What is the experimental probability of rolling a 3? Write your answer as a fraction in simplest form.










: Enter your answer and show all the steps that you use to solve this problem in the space provided.

A number cube is rolled 450 times. The number 3 comes up 67 times.

a. What is the theoretical probability of rolling a 3? Write your answer as a fraction in simplest form.

b. What is the experimental probability of rolling a 3? Write your answer as a fraction in simplest form.










: Enter your answer and show all the steps that you use to solve this problem in the space provided.

A number cube is rolled 450 times. The number 3 comes up 67 times.

a. What is the theoretical probability of rolling a 3? Write your answer as a fraction in simplest form.

b. What is the experimental probability of rolling a 3? Write your answer as a fraction in simplest form.










hi

Answer 70

: Enter your answer and show all the steps that you use to solve this problem in the space provided.

A number cube is rolled 450 times. The number 3 comes up 67 times.

a. What is the theoretical probability of rolling a 3? Write your answer as a fraction in simplest form.

b. What is the experimental probability of rolling a 3? Write your answer as a fraction in simplest form.

Answer 71

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

A party store offers small balloons and large balloons. You can choose from pink, blue, green, and yellow balloons. You can choose from silver, gold, and white ribbons. Use the counting principle to find the number of different ways you can choose a balloon with a ribbon.

Answer 72

hey bot Since A rectangular prism has a length of 10.4 millimeters, a width of 5 millimeters, and a height of 8 millimeters.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Simplify the expression.

5+4⋅(8−6)2
(1 point)