How many solutions does this system have?

y = 2/3x + 3

2x - 3y = -9


A. one solution

B. two solutions

C. no solutions

D. infinitely many solutions

Answers

Answer 1

Answer:

the answer is A .

Step-by-step explanation:

-2x+y=3 ----> 2x - y = -3

6x=9-3y

6x + 3y = 9

divide by 3 ,

2x + y = 3

Since the slopes are different, they will intersect.

So ONE solution.


Related Questions

Read the below scenario and then answer the questions that follow. The Ancestry Society of North Carolina is compiling records so they can learn about the history of African Americans in North Carolina from 1820 to 1980. They have complied records of all 15,125 gravestones in cemeteries across all 15 counties. They want to choose a sample of 600 records to check their accuracy by visiting the actual gravestones.
a) Using the hat method explain how they could gather a simple random sample of 600 gravestones to visit.
b) Explain why it would be better to take a sample 40 gravestones from all 15 counties.
c) For what population could they make inference about after gathering and examining the sample?

Answers

Using the hat method they can randomly choose the tombstones they are going to visit in each county, the best option is to visit 40 tombstones in each county so that it is the same number of tombstones analyzed in each county. This study will benefit the residents of these counties because the information is specific to them.

When conducting research, it is sometimes necessary to take samples to analyze and study and obtain a result. In the situation presented there are a large number of tombstones to study, however it is difficult for researchers to visit each of the tombstones.

Therefore, the best option is to take a sample, that is, to study a small proportional part of the tombstones to obtain an estimated result of the study. The best way to do this is by taking the same number of samples in each county.

Additionally, the information resulting from this study will directly impact the residents of these counties because they are issues related to their past and their evolution through the years, especially the African American population.

Learn more about research in: https://brainly.com/question/1596108

how many seconds are there in 3 minute By the process ​

Answers

Answer:

Step-by-step explanation:

You can easily convert 3 minutes into seconds using each unit definition:

Minutes

minute = 60 s = 60 s

Seconds

1 s

= 1 sec / 60 = 0.01667 min

With this information, you can calculate the quantity of seconds 3 minutes is equal to.

In 3 min there are 180 s.

Which is the same to say that 3 minutes is 180 seconds.

Select the best estimate for the quotient.75.1÷9=

Answers

Answer:

8.3 44444 is the answer

Step-by-step explanation:

3 movie tickets cost 36$. at this rate, the cost per ticket is $..

Answers

Answer: The cost per ticket is $12.

Step-by-step explanation:

write a polynomial function of least degree with integral coefficients that has the given zeros 0,-2,4

Answers

Answer:

[tex]x^3-2x^2-8x[/tex]

Step-by-step explanation:

[tex]x(x+2)(x-4)[/tex]

[tex]x(x^2-2x-8)[/tex]

[tex]x^3-2x^2-8x[/tex]

Describe how to find your x-intercepts ?

Answers

The y-intercepts are points where the graph of a function or an equation crosses or “touches” the y-axis of the Cartesian Plane. You welcome!

At the same time of day, a woman who is 78 inches tall casts a 63-inch shadow and her son casts a 21-inch shadow. What is the son's height? *

Answers

Answer:

26in

Step-by-step explanation:

The heights of the people in relation to their shadow lengths are proportional.

78in/63in = x/21in

The child's shadow is 1/3 the length of his mom so his height is 1/3 of hers.

78/3 = 26 in

Answer:

The son is 26 inches tall.

Step-by-step explanation:

[tex]\frac{x}{21} = \frac{78}{63}[/tex]

           

[tex]x= \frac{21x78}{63}[/tex]

21x78= 1638

1638÷63=26

Hope this helps

Sorry if I got it wrong!

MARKING AS BRAINLIEST!! Starr if given functions are inverse)!

Answers

Answer: f(x) and g(x) are inverses of each other

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

Explanation:

Start with the f(x) function. Then plug in g(x) like so

[tex]f(x) = 4x+3\\\\f(g(x)) = 4(g(x))+3\\\\f(g(x)) = 4\left(\frac{1}{4}x-\frac{3}{4}\right)+3\\\\f(g(x)) = 4\left(\frac{1}{4}x\right)+4\left(-\frac{3}{4}\right)+3\\\\f(g(x)) = x-3+3\\\\f(g(x)) = x\\\\[/tex]

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

Now we'll start with the g(x) function and then plug in f(x)

[tex]g(x) = \frac{1}{4}x-\frac{3}{4}\\\\g(f(x)) = \frac{1}{4}(f(x))-\frac{3}{4}\\\\g(f(x)) = \frac{1}{4}(4x+3)-\frac{3}{4}\\\\g(f(x)) = \frac{1}{4}(4x)+\frac{1}{4}(3)-\frac{3}{4}\\\\g(f(x)) = x+\frac{3}{4}-\frac{3}{4}\\\\g(f(x)) = x\\\\[/tex]

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

We've shown that the two equations are true

f(g(x)) = xg(f(x)) = x

Therefore, f and g are inverses of each other.

HELP ME OUT PLEASE!!!

Determine which graph shows y as a function of x.​

Answers

bottom right graph. it’s the only one that passes the vertical line test, making it the only function

Estimate the quotient. 2,506 / 2

Answers

Answer:

1253

Step-by-step explanation:

2500/2 is 1250.

so 2506/2 will be a bit above.

1253 is an estimate

Each factory at a candy company has 498 workers. There are 12 factories. )
How many workers are employed at each candy company

Answers

Answer:

5,976 workers

Step-by-step explanation:

498 times 12 = 5976

Answer: 41.5

Step-by-step explanation: you have to do 498 divided by 12 and then you will get your answer.

Easy question about multiplication? unsure why not getting full marks

Answers

i think that you have forgot to divide at the end, like the first one would be 28 because you would divide by an estimate of 2

Need help fast worth 20 points
Select the correct answer.
Which set of absolute values is compared correctly
OA. 1-10] < |-5| < |17| < 151
OB. 1-5| > |-10| > |-12| > |17||
OC. |10| > |-15] > [-5| > 12||
OD. |-101 < [12] < |-15| < |17||

Answers

Answer:

i think its b.

Step-by-step explanation:

correct me if im wrong. and it was worth 10 points instead of 20.

What is the opposite of 3.5? Write your answer as a decimal

Answers

The opposite of 3.5 is -3.5

joey’s town voted on a new speed limit . 40 % of the 25 votes were in favor of the new speed limit . How many votes were in favor ?

Answers

Step-by-step explanation:

I don't know the answer really

find the total amount due on the simple interest loan if the principle is $3000 with a rate of 5% for 10 years

Answers

Step-by-step explanation:

hope it will help you......

Question 3 of 10
Find tan 0

Answers

[tex]\tan \theta = \dfrac{\text{Opposite side}}{\text{Adjacent side}} = \dfrac{16}{12}[/tex]

the permiter of one face of cube is 60 cm then its volume :​

Answers

Step-by-step explanation:

a cube has 6faces.

side = 60/6 = 10cm

volume = 1000cm³.

hope this helps you.

Simplify. Show all steps
-25y - (5y - 41)

Answers

the answer is -30y + 41

steps:

•distribute the negative sign within the numbers in the parenthesis (you can also input a one to that negative sign for an easier visual)

-25y - 5y + 41

•next, combine your like terms. so add 25y and 5y, but keep the negative sign.

-30y + 41

•there are no more like terms so that is your final answer! hope this helps :)

find x and y intercepts of
3x - 2x = 5

Answers

Answer:

x=5

Step-by-step explanation:

there is no y intercept

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\mathbf{3x - 2x = 5}\\\mathbf{\rightarrow 1x = 5}\\\textbf{DIVIDE 1 to BOTH SIDES}\\\mathbf{\rightarrow \dfrac{1x}{1}=\dfrac{5}{1}}\\\textbf{CANCEL out: }\mathbf{\dfrac{1}{1}\textbf{ because it gives you 1}}\\\textbf{KEEP: }\mathbf{\dfrac{5}{1}}\textbf{ because it helps solve for the x-value.}\\\textbf{NEW EQUATION: }\mathbf{x = \dfrac{5}{1}}\\\textbf{SIMPLIFY IT!}\\\mathbf{x = 5}\\\\\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{x = 5}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]

~[tex]\mathbf{Amphitrite1040:)}[/tex]

Prime number after

167, 118, 82, 57, 41, ?

Answers

Prime numbers after 167, 118, 82, 57, 41, are:

37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2

Prime numbers are numbers that only have two factors, 1, and themselves.

Apart from these factors, no number can divide them without a remainder.

By observation, the numbers 167, 118, 83, 57, 41, are written in descending order.

This means that the prime number to be chosen will be lesser than 41

Prime numbers lesser than 41 are:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37

Learn more on prime numbers here: https://brainly.com/question/145452

What is the greatest exponent in the expression 8x-x^2+9-3x^4+5x?

Answers

Answer:

4

Step-by-step explanation:

-1⅓ + 2⅓ what is answer ​

Answers

The answer to -1 1/3 + 2 1/3 is 1
Ok done. Thank to me :>

99 points


solve the system of equations by graphing

k12 test interim checkpoint 4

Answers

Answer:

Step-by-step explanation:

f ( x 2 − 3 x + 2 ) = − x 2 + 3 x + 3

A fair coin is tossed four times. What is the probability of obtaining at least three tails?

Answers

The probability of obtaining at least three tails is; 5/16

When tossing a coin four times, the number of possibilities since one is either a tail or head is;

Total number of possibilities = 2⁴ = 16

Now, various ways of getting at least three tails are;

TTTH, TTHT, THTT, HTTT, and TTTT.

This is a total of 5 different ways.

Thus;

P(obtaining at least 3 tails) = 5/16

Read more about probability when a coin is tossed at; https://brainly.com/question/1334780

It takes 58 pounds of seed to completely plant a 9-acre field. How many acres can be planted per pound of seed?

Answers

Answer:

6 4/9

Step-by-step explanation:

You divide 58 and 8 and your answer would be 6.444444 repeating.

What is the perimeter of the triangle?

Answers

Answer:

34

Step-by-step explanation:

12 on two of the sides and 10 on bottom

There is a problem with the question since it is supposed to say how much length does each box in the graph consider. But assuming that each box length is 1 unit...

The pythagorean formula states a^2 + b^2 equals c^2 .... Pythagorean theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)

So, lets just divide the blue triangle in half, symmetrically so that we can get a 90 degree angle. "a" is height of the half triangle and "b" is base of the half triangle so we have to find "c" (the hypotenuse) Now that we already can count and find the value of a is 12 unit and b is 5 unit.

So, 12^2 + 5^2 equals c^2 ... now if we solve the formula, the value of "c" comes 13 (it also comes -13 but negative number can not be counted in the diagram)

The triangle is a isoceles triangle which means both the sides of "c" are equal so... one side is 13 then the other side is also 13. and we already know the base is 10 units. So just add them up-   13+13+11 comes 37 units. (Its kinda complicated and i am bad at making someone understand so just learn the pythagorean theorum...)

SO THE FINAL ANSWER IS 37 UNITS. i am not sure so let me know if am correct. And if i m wrong... pls forgive me T-T

What is the slope of the line?
1/2 2 1 -2

Answers

Answer:

the slope of the line is 2

Step-by-step explanation:

Answer:

The slope of the line is 2.

Step-by-step explanation:

The point where the line crosses the y-axis, also known as the y-intercept, is (0,1). The next clear point is (1,3).

We can use the formula for finding slope here.

[tex]\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]

If we plug in the points, with (0,1) being the first and (1,3) being the second, we'll get this:

[tex]\frac{3-1}{1-0} --> \frac{2}{1} --> 2[/tex]

Therefore, the slope is 2.

Casey borrowed $4500 at a 5% interest rate for 4 years.
What was the total interest?
Enter your answer in the box.
Hint: Use the formula I=P*R*T where
I= Interest Earned/Owed
P= Principal
R= Rate
T= Time
PLEASE HURRYYYY!

Answers

I = P x R x T

I = $4500 x 5% x 4

5% = .5

4500 x .5 x 4 = 9,000

I think this should be correct .

What is the value of x? Enter your answer in the
box.

Answers

Answer:

70⁰ + 30⁰ + x = 180 ( angle sum property (

100⁰ + x = 180

x = 80⁰

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