Analyze the solution set of the following system by
following the given steps.
2x + y = 5
3y = 9 - 6x
Write each equation in slope-intercept form.
y =
x +
y =
be+
DONE
What do the equations have in common and how are they different

Answers

Answer 1

Answer:

Slope -intercept for of equation 1: [tex]y=-2x+5[/tex]

Slope -intercept for of equation 2: [tex]y=-2x+3[/tex]

Looking at slope-intercept form of both equations, we have slope m = -2

Both have same slopes so, the lines are parallel.

Step-by-step explanation:

We need to write equations in slope-intercept form.

The general formula of slope-intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept.

The first equation is:

[tex]2x+y=5[/tex]

Slope-intercept form:

[tex]y=-2x+5[/tex]

The second equation is: [tex]3y=9-6x[/tex]

Rearranging: [tex]3y=-6x+9[/tex]

Slope-intercept form:

[tex]y=\frac{-6}{3} x +\frac{9}{3}\\y=-2x+3[/tex]

Slope -intercept for of equation 1: [tex]y=-2x+5[/tex]

Slope -intercept for of equation 2: [tex]y=-2x+3[/tex]

Looking at slope-intercept form of both equations, we have slope m = -2

Both have same slopes so, the lines are parallel.

They have different y-intercepts.


Related Questions

The following are the temperatures in °C for the first 8 days of January: -4.5, -1.5, 2, 3, -5, -2, -0.5, 2.5 What is the median temperature for those 8 days?

Answers

Answer:

-1

Step-by-step explanation:

put numbers in order

-5 , -4.5 , -2 , -1.5 , -0.5 , 2 , 2.5 , 3

add two middle numbers up

- 1.5 + - 0.5 = -2

-2/2 = -1

Pls help it due soon
Show workings!

Answers

Answer:

A

Step-by-step explanation:

So the triangle rule is that the 2 smaller sides of a triangle have to have a greater sum than the largest side.

I answer a 1+2 has to be greater than 3 and its not therefore A is the answer

The linear plot shows how the air temperature changes with the altitude of a mountain located nearby.
According to the plot, which statement is true?
Air Temperature
vs. Mountain Height
The air temperature increases about 10°C for every
1000-meter increase of altitude.
10
The air temperature at the base of the mountain is
about 18°C.
Air Temperature (°C)
. 10
The average temperature on top of the mountain is
about -2°C
0
1000 2000 3000 4000 5000 x
Mountain Height
(in meters)
The air temperature at the base of the mountain is
about -22°C

Answers

Answer: The air temperature increases about 10 degrees C for every 1000-meter increase of altitude.

Step-by-step explanation:

Ur welcome :)

The correct statement is The air temperature increases about 10°C for every 1000-meter increase of altitude.

What is graph?

In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

according to the given plot we have

The air temperature at the base of the mountain is about 18°C is false because  air temperature at the base of the mountain is about 20°C.

The air temperature at the base of the mountain is about -22°C false because  air temperature at the base of the mountain is about 20°C.

The average temperature on top of the mountain is about -2°C is false because it is not mentioned in the graph.

The air temperature increases about 10°C for every 1000-meter increase of altitude is true.

Learn more about graph here:

https://brainly.com/question/10712002

#SPJ2

Can someone help me with this?

Answers

[tex] \large \text{Hello keep learning!}[/tex]

As we know that one million is 1,000,000.

So we can write it as:-

➢ 1×10⁶

Answer:

1 * 10^6

Step-by-step explanation:

I hope this helps!

A. 27%
B. 37.5%
C. 62.5%
D. 75%

Answers

B. Should be the correct answer

Answer:

c

Step-by-step explanation:

Help plz!!! The graphs shows y as a function of x.
Which of the statements regarding the interval are correct when analyzing the graph?
The graph is increasing between the interval -5 The graph is increasing between the interval -2 The graph is decreasing between the interval 0 The graph is decreasing between the interval 2 The graph is decreasing between the interval 5< X < 6

Answers

Answer:

1, 2, 3 are correct

4&5 are not because 4 is increasing and 5 is staying the same

Answer:

first 4 are correct

Step-by-step explanation:

trish walked 3 blocks to the store at a pace of 1/3 blocks every 2 minutes. How long did it take her to walk to the store

Answers

18 minutes i’m pretty sure

PLEASE HELP ASAP!!!!!

Answers

Given:

The side lengths of two cubes are 2.5 yd and 2 yd.

To find:

The side length of third cube.

Solution:

From the given figure it is clear that the cubes are inclined to each other in such a way so that they form a right angle triangle and side length of third cube is the base.

Let x be the side length of the third cube.

Using Pythagoras theorem, we get

[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]

[tex](2.5)^2=(x)^2+(2)^2[/tex]

[tex]6.25=x^2+4[/tex]

[tex]6.25-4=x^2[/tex]

[tex]2.25=x^2[/tex]

Taking square root on both sides, we get

[tex]x=\pm\sqrt{2.25}[/tex]

[tex]x=\pm 1.5[/tex]

Side cannot be negative. So,

[tex]x=1.5[/tex]

Therefore, the side length of the  third cube is [tex]x=1.5[/tex] yd.

Mrs. Renfro was teaching her class
about the states. She wrote Mississippi on cards as shown below.
If Mrs. Renfro chose a card at random,
what is the probability Mrs. Renfro
would choose a vowel?

Answers

Answer: 4 / 11

Step-by-step explanation:

There are 4 vowels in total, 11 cards.

What is the equation of the line?

Answers

Y=4 because y is 4 all the time

What is the constant of proportionality in the table below

Answers

Answer:

1/3

Step-by-step explanation:

Y/x=k that is the equation for constant of proportionality

2/6=k

1/3=k

An experiment consists of spinning the spinner
below. What is the theoretical probability it will
land on green?
Green
Yellow
Red
Red
Green
Yellow Green
0.43
0.5
0.75
0.375

Answers

Answer:

total outcomes= 8

green = 3

probability to get green = 3/8 = 0.375

HURRRY DUE IN 1 HR HEEELLLLPPP

Answers

Answer:

3* 2*3*2 is n

Step-by-step explanation: well find a way to put 3 and 2 two times in expressions and expressions have no equal signs steer clear of that.

Hideki buys a skateboard that costs c dollars. After 6.5% sales tax is added, the total cost can be expressed by the expression c+0.065c
. What is this expression written in simplest form?

Answers

Answer: c(1 + 0.065)

Step-by-step explanation:

Can someone help please!!!

Answers

use desmos!! u just type in the equation and it will give u cordinates

Brittany bought a dress that cost $22.50. If the sales tax is 6.5%, how much tax did she pay?

Answers

Answer:

$1.46

Step-step explanation:

We have to find out what 6.5% of 22.5 is, our keyword is of, so we're multiplying. Our equation is:

22.5 x 0.065 = 1.46

So our tax is $1.46

Here are the first four terms of a sequence.
4
11
22
37
Find an expression, in terms of n, for the nth term of this sequence.

Answers

Answer:

aₙ = 2n² + n + 1

Step-by-step explanation:

We observe that the difference of terms is 4, 7 and 15 and next level difference is 4. It means the sequence is quadratic.

We can compare this with simple quadratic sequence

1, 4, 9, 16

and find out that doubling each term gives us

2, 8, 18, 32

This is close to our sequence, write the terms as follows to find exact rule

The first term:

a₁ = 4  = 2*1² + 2 = 2*1² + 1 + 1

The second term

a₂ = 11  = 2*2² + 3 = 2*2² + 2 + 1

The third term:

a₃ = 22 = 2*3² + 4 = 2*3² + 3 + 1

The fourth term:

a₄ = 37 = 2*4² + 5 = 2*4² + 4 + 1

The nth term as per observation above is:

aₙ = 2n² + n + 1

Answer:

Step-by-step explanation:

Write the next 2 terms of the Fibonacci sequence starting with 2, 6, ....

Answers

Answer:

8, 14

Step-by-step explanation:

Any term in a Fibonacci sequence is found as

[tex]a_{n}[/tex] = [tex]a_{n-2}[/tex] + [tex]a_{n-1}[/tex]

Thus

a₃ = a₁ + a₂ = 2 + 6 = 8

a₄ = a₂ + a₃ = 6 + 8 = 14

The next 2 terms are 8, 14

Answer:

8, 14

Step-by-step explanation:

In a general Fibonacci sequence, any number in the sequence after the first two is the sum of the previous two. Here, we get the 3rd term by adding 2 and 6 to get 8, making our sequence

2, 6, 8

To get the fourth, we repeat the process, adding 6 and 8 to get 14:

2, 6, 8, 14

The WNBA champions have a twelve-player roster that includes two superstars. If a group of five starting players for this team must include the two superstars, how many different groups of five starting players are there?

Answers

Answer:

120 groups

Step-by-step explanation:

Total number of players = 12

Number of superstars = 2

To select a group of 5 players that MUST include the two superstars can be done in how many different ways?

Since the two superstars must always be in the 5 player team

Number of players left to choose = 5 - 2 = 3

Number of players from which selection is to be made = 12 - 2 = 10

Hence, the number of ways of choosing 3 players from 10 ; 10C3

Recall ;

nCr = n! / (n-r)!r!

10C3 = 10! ÷ (10-3)!3!

10C3 = 10! ÷ 7!3!

10C3 = (10*9*8) / (3*2*1)

10C3 = 720 / 6

10C3 = 120 groups

This Venn diagram illustrates the sample space of the numbers.


Complete the table by filling in the values for each region of the sample space.

Answers

Answer:

Image attached below

Explanation:

Plato answer

Answer:

Event   |                      ValuesE1     |    1, 3, 5, 7, 9, 12, 14, 16, 18, 19, 21, 23, 25, 27, 30, 32, 34, 36 E2    |    1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35E1 & E2 |  1, 3, 5, 7, 9, 19, 21, 23, 25, 27 E1 or E2 | 1, 3, 5, 7, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 23, 25, 27, 29, 30, 31, 32, 33, 34, 35, 36

Step-by-step explanation:

plato / edmentum answer

please help i'm so confused and its due todayyy :(
will mark brainliest!!

Answers

Answer:

C

Step-by-step explanation:

Because lets say we have a point (1,2)

when reflecting this point over the y-axis it becomes (-1,2) so only the sign of the X value changes. Therefore by writing the system f(x)=g(-x) it changes the X value.

Please help me no need to explain just drop the answers

Answers

Answer:

a) x: 0,1,2,3,4,5,6,7,8

y: 0,8,16,24,32,48,56,64

b) label the horizontal line number of yards. The vertical line is costs, label each unit in 8s.

c) constant of porportionality is 8

d) y=8x

I need a little help with this

Answers

-Infinity < y < infinity

Gretta is 1 1/2 meters tall. Which of the following is equivalent to 1 1/2 meters?


Answers

The answer would be one of the following in the photo below....if not do you have a picture you could show me of the possible answers?

What is it plssss???

Answers

Answer:

First option, 4 because 1/6 + 1/6 + 1/6 +1/6 = 4/6

118
154
131
112
solve for x

Answers

9514 1404 393

Answer:

  x = 115

Step-by-step explanation:

The sum of angles in a hexagon is 720°.

  x +118 +90 +112 +131 +154 = 720

  x = 115 . . . . . . . subtract 605

NEED HELP ASAP PLZZZZZZZZZZZZZZZ
Hal works in a toll booth. About 20 to 23 cars pass through Hal's booth every 26 minutes. Which is a reasonable estimate for the number of cars that pass through Hal's booth in 156 minutes?
A.
9 cars
B.
129 cars
C.
22 cars
D.
559 cars

Answers

Answer: I would say B would be the answer Because....

Step-by-step explanation:

if about 20 to 23 cars pass through every 26 minutes, and haw many cars pass by in 156 minutes...

26 x 6 = 156

6 x 20 = 120  

6 x 21 = 126

6 x 22 = 132

6x 23 = 138

all thoes numbers are around B.

please help me Factor 21x+56xy

Answers

Answer:

the answer is 7x(3+8y)

Step-by-step explanation:

Hope this helped

x + 2 = 2x +1
what's x​

Answers

x + 2 = 2x + 1
2 - 1 = 2x - x
1 = x
x = 1
I think the answer should be 1

My cousin facetimed me and asked me a id k what it is but this is it. 92 meters per second times ________= 1,000 km

Answers

Answer:

10869.5652174 seconds

Step-by-step explanation:

1000 km = 1000000 m

1000000m /92  = 10869.5652174

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