How many solutions does the system of equation have?

2x + 3y = 9 and y = 2/3x - 2

A.
One solution

B.
Two solutions

C.
Infinitely many solutions

D.
No solutions

Answers

Answer 1

Answer:

A. One solution

Step-by-step explanation:

y = 2/3x - 2 has slope of 2/3

2x + 3y = 9

       3y = -2x + 9

         y = (-2/3)x + 3 has slope of -2/3

lines with different slopes have only ONE intersection


Related Questions

Simplify |x| - |-x|.

Answers

Answer:

0

Step-by-step explanation:

Two cases: if [tex]x\ge0[/tex]

[tex]|x| - |-x| = x - x= 0[/tex]

Instead if [tex]x<0[/tex]

[tex]|x| -|-x| = -x -(-x)=-x+x=0[/tex]

Alternatively you can try to graph both [tex]f(x) = |x|; g(x)=|-x|[/tex] and checking the vertical distance between the two graphs

Can someone help me??

Answers

Answer:

The answer is B

Step-by-step explanation:

The answer is b
Explanation

(8,4) and has a slope of 5/2

Answers

I’m guessing you want the equation? Rise is 5, run is 2 (slope=rise/run). To find the equation, we need a y intercept. the graph must move 8 units left to reach the y axis. To move 8 units left in the negative direction, we must also move 20 units down (because the shift required is 4 times greater than the slope, we must multiply the other coordinate by 4 to find how far to move the coordinate). When x=0, y=(4-20). This can be written as y=-16. The equation would be y=(5/2)x-16

a linear function yand x has graduent -6/7 and y-intercept 8. write down the equation of the function.​

Answers

Answer:

y = - 6/7x + 8

Step-by-step explanation:

The slope- intercept form is:

y = mx + b, where m is the slope (or gradient) and b is the y-intercept

We have:

m = - 6/7 and b = 8

The line is:

y = - 6/7x + 8

whats 3-6h if h = -1

Answers

Answer:

9 is the answer.

Step-by-step explanation:

Given:

h = -1

=> 3-6h

=> 3 - 6(-1)

=> 3 + 6

=> 9

Therefore, 9 is the answer.

Hoped this helped.

The black graph is the graph of
y = f(x). Choose the equation for the
red graph.
1
a. y = f (2x)
b
y = f (3)
C. 2y = f(x)
= x
. d. = f(x)
у
-
Enter

Answers

Answer:

Step-by-step explanation:

The answer is d.

The black graph corresponds to the function y = f(x). The function represented in the red graph is y/2 = f(x). Therefore, option d is correct.

What is a graph representing a function ?

A graph representing a function is a visual representation of the relationship between the input values (often called the "domain") and the output values (often called the "range") of the function.

For example, if we have a function f(x) = x^2, we can create a graph by choosing some input values for x (e.g. -3, -2, -1, 0, 1, 2, 3), computing the corresponding output values using the function (e.g. 9, 4, 1, 0, 1, 4, 9), and plotting the points (x,y) = (-3,9), (-2,4), (-1,1), (0,0), (1,1), (2,4), (3,9) on the graph.

Here, the black graph corresponds to the function:

y = f (x).

In the red graph, the y values are increased to two fold but the x-values are the same.

then,

relation between new y values and older function f(x) is :

y/2 = f (x).

Therefore, option D is correct.

Find more on graphs:

https://brainly.com/question/10712002

#SPJ7

A student downloaded a new game on her phone that was recommended by her friend. She wanted to show her friend how good
she was doing, so she wrote down all her scores on the game. Her first five scores on the game were 432, 543, 348, 788, and 823.
On the two questions below, round to the nearest whole number when relevant.
a. What is her mean, or average, score on the game?
b. What is her median score on the game?

Answers

Answer:

a. 587

b. 543

Step-by-step explanation:

a. Mean = sum / number of numbers

To find the sum, we can add the numbers up.

432 + 543 + 348 + 788 + 823 = 2934

There are 5 numbers. Our mean is thus

2934/5 = 586.8, or 587 when rounding up. We round up because we have a .8 at the end, and 8 ≥ 5

b. To find the median, we first must order the numbers. The numbers ordered are this:

348 ,  432 , 543 , 788 , 823

To find the median, we can cross off one number on each side until we are left with one or two numbers.

348 ,  432 , 543 , 788 , 823

cross out one number from each endpoint

432 , 543 , 788

cross out one number from each endpoint

543

which cost the most per tablet
50 individually wrapped pain reliver talets for 9.50, 100 tablets in a bottle for 6.32 or 500 tablets in a bottle for 13.42

Answers

Answer:

It is C. 500 tablets in a bottle for 13.42

Step-by-step explanation:

9.50/50 = 0.19 cents per individually wrapped pain reliver tablets.

6.32/100 = 0.06 cents per tablets in a bottle.

13.42/500 = 0.02 cents per tablets in a bottle.

Pls help me I’ll brainlest ASAP

Answers

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

Find the slope of the line that passes through (19, 72) and (20, -1).

Answers

Step-by-step explanation:

please mark me as brainlest

The Office of Student Services at a large western state university maintains information on the study habits of its full-time students. Their studies indicate that the mean amount of time undergraduate students study per week is 20 hours. The hours studied follows the normal distribution with a population standard deviation of seven hours. Suppose we select a random sample of 125 current students. What is the probability that the mean of this sample is between 19.25 hours and 21.0 hours

Answers

There is a probability of 77% that the mean of this sample is between 19.25 hours and 21.0 hours

Z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation,n=sample\ size[/tex]

Given that μ = 20, σ = 7, n = 125.

For x = 19.25:

[tex]z=\frac{19.25-20}{7/\sqrt{125} } =-1.20\\\\\\For\ x=21:\\\\z=\frac{21-20}{7/\sqrt{125} } =0.62[/tex]

From the normal distribution table, P(-1.20 < z < 0.62) = P(z < 0.62) - P(z < -1.2) = 0.8849 - 0.1151 = 0.7698 = 77%

There is a probability of 77% that the mean of this sample is between 19.25 hours and 21.0 hours

Find out more on z score at: https://brainly.com/question/25638875

Find the next four terms in the sequence.
1,-4, 16, -64, ...

Answers

Answer:

256, -1024, 4096, -16384

i think that's it

it's being multiplied by -4 (geometric)

Directions: Simplify the following expressions. 1. (3x-10)² 6. (-15y + 3)² 7. (q-2r) (q + 2r) 8. (m-6)³ 9. (u−5)(u+ 5) 10. (x + 2) ³ 2. (12az-11b)² 3. (3b² + 2v) ( (3b²-2v) 4. (2v + 3w)³ 5. (2t+4y) (41²-8ty + 16y2)​

Answers

Answer:

1. 9x^2-60x+100

6. 225y^2-90y+9

7. q^2-4r^2

9. u^2-25

10. x^3+6x^2+12x+8

2. 144a^2z^2-264abz+121b^2

3. 9b^4-4v^2

4. 8v^3+36^2w+54vw^2+27w^3

5. -16t^2y+64y^3+3362t+6724y

Step-by-step explanation:

There you go

First one to put an answer gets Brainliest

What is 6-9461946105$)/&!5803&573!2.72!/‘u get Rory • 3

Answers

Answer:

I got its 69 or 六十九

Step-by-step explanation:

A student missed 15 problems on a mathematics test and received a grade of 80%. If all the problems were of equal value, how many problems were on the test?

Answers

Answer:

75 problems

Step-by-step explanation:

Let x be the number of problems on the test and x-15 be the number of correct answers the student got on the test:

(x-15)/x = 0.80

x-15 = 0.80x

-15 = -0.20x

75 = x

Therefore, there were 75 problems on the test

the 9-dight number that identifies the bank that a check came from is called ​

Answers

Answer:

im pretty sure its the routing number

Step-by-step explanation:

trust me

What is the probability of rolling a number greater than 1?
Type a fraction

Answers

Step-by-step explanation:

A die has six faces numbered from one to six. Five of the faces have numbers greater than one so the probability of rolling a number greater than one is 5 out of six or as a fraction,

[tex]\dfrac{5}{6}[/tex]

Total score:
of 15 points
(Score for Question 1: of 5 points)
1. Graph the function f(x) = sin(x)-2.
Answer:

Answers

Answer:

Step-by-step explanation:

Hurry!! Answer it please:))

Answers

Answer:

Option C.

Domain:

{3, 0, 2, 4}

Step-by-step explanation:

The domain is the set of all the values of x.

Answer:

C is the answer!:)

Step-by-step explanation:

Domain is all numbers on the left and range is on the right

help please use picture

Answers

Answer:

y= -1x+4

Step-by-step explanation:

-1/1 is simplified to -1

What is the constant of proportionality in xy-11=5?

Answers

Answer:

xy-11=5

ANSWER:

=16

Step-by-step explanation:

hope it helps to you

mark me as a brainlest please

Please help thank you

Answers

Answer:

2 × n - 1 = x

Step-by-step explanation:

for example:

[tex]2(4) - 1 = 7[/tex]

[tex]2(5) - 1 = x \\ 10 - 1 = x \\ x = 9[/tex]

NEED NOW PLEASE..........

Answers

Answer:

The answer is 6 feet below the surface of the water.

Step-by-step explanation:

So the fish started out as 12m below the surface then went 3m down. If you add 12m and 3m you'll 15m, then minus with a 9m to came up with 6m. But the fish is still below surface, which gives you the answer of " 6 feet below the surface"

Hopes this helped you :)

What is the sum of the interior angle measures of the polygon

Answers

Answer:

1260°

Step-by-step explanation:

The sum of the measures of the interior angles of a polygon of n sides is

(n - 2)180°

This polygon has 9 sides, so n = 9

sum = (9 - 2)180°

sum = 7(180°)

sum = 1260°

(422 +
+ 72 – 8) and (-2 + 3)
-

Answers

Answer:

HHSheikh Zayed road is dream of a great weekend and It is a great day ☺️ is the only thing I would like to know that you have received your name is a great day and time of year for me is the only thing I want ☺️☺️ and time again and time of reading is a great time of year for the only way we can do it in a few more days to get to get to the only thing that you have a few more days to get to the next day ☺️ is a great weekend too and time of year is the next

Step-by-step explanation:

return policy and time again and I will be in touch with you have any questions or need any further information please contact me at the only thing I would be in touch with ☺️ is the best ☺️ and time is a good time of the only thing I would

Nina bought four pieces of candy. She paid for it with a 10 dollar bill. Let ‘c’ represent the cost of one piece of candy. Pick the expression that represents the total amount of money she has leftover.
THE ONLY ANSWERS
4c + 10
10c - 4
4 + 10c
10 - 4c

Answers

Answer:

It should be the last one, 10 - 4c.

Step-by-step explanation:

Because base on the problem it should be a subtraction problem. "C" is the pieces of candy so it would be 4c. Your finding the amount left, so 10 - 4c is the answer.

Answer: 10 - 4c

A traffic study determined that a larger city population indicates a
longer commute time for drivers. What can we say from this
information?

Answers

Answer:

There must he a circulation. May not be causation.

10. A wildfire in Montana destroyed 240,000 acres in 3 days. At this rate, how many
acres were destroyed per hour?

Answers

Answer:

Approximately 3,333 acres per hour.

Step-by-step explanation:

Let's first find out how many hours are in 3 days.

There are 24 hours in one day.

24 times 3 = 72.

There are 72 hours in 3 days.

So the wildfire is destroying 240,000 acres every 72 hours.

240,000 divided by 72 = 3,333.3333, which is about

3,333 acres per hour.

The number of acres of land that were destroyed per hour is 3,333.33 acres.

Given the following data:

Land destroyed = 240,000 acres.Time = 3 days.

To calculate the number of acres of land that were destroyed per hour:

How to solve a word problem.

In this exercise, you're required to determine how many acres of land in Montana were destroyed by the wildfire per hour. Thus, we would first of all convert the value of time in days to hours and then divide the acres of land by it.

Conversion:

1 day = 24 hours.

2 days = 48 hours.

3 days = 72 hours.

For the acres destroyed per hour, we have:

[tex]Land=\frac{240000}{72}[/tex]

Land = 3,333.33 acres.

Read more on word problems here: https://brainly.com/question/13170908

What is the value of the expression 2/5m−1/3 when m = 3?

1/15

13/15

23/15

I don't know.

Answers

2/5*3= 1 1/5-1/3 =13/15

Answer:

13/15

Step-by-step explanation:

i took the test :)

help i made it worth a lot of points

Answers

Answer:

36x^6/y^10

Step-by-step explanation:

First evaluate the parentheses, 6x^3 x 6x^3 = 36x^6

y^5 x y^5 = y^10 ; remember m^k x m^r = m^k+r

final answer should be 36x^6/y^10

hope this helps :')

Answer:

[tex] \dfrac{36x^6}{y^{10}} [/tex]

Step-by-step explanation:

First, deal with the exponent 2 outside the parentheses.

Raise each factor to the second power.

[tex] (\dfrac{6x^3}{y^5})^2 = [/tex]

[tex] = \dfrac{6^2(x^3)^2}{(y^5)^2} [/tex]

To raise a power to a power, multiply the powers.

[tex] = \dfrac{36x^6}{y^{10}} [/tex]

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