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

I need help asap
Please help me!!
contains ordered pairs

Answers

Answer:

which question ?

Step-by-step explanation:

someone actually help :((( need to finish exam before 12 !!
f(x)=17,000(0.87)x

The value of a certain SUV, in dollars, x years from its model year can be predicted by the exponential function shown in the table.

x| 0| 1| 2| 3| 4| 5|
g(x)| 21,000| 18,690| 16,634.10| 14,804.35| 13,175.87| 11,726.52|

How much more will the SUV be worth than the car 5 years after their model years? Round your answer to the nearest cent.

Answers

Using the exponential function, it is found that the SUV is worth $3,253.36 less than the car after 5 years.

The exponential function for the value of the SUV, after x years, is given by:

[tex]f(x) = 17000(0.87)^x[/tex]

Hence, after 5 years, the value is:

[tex]f(5) = 17000(0.87)^5 = 8473.16[/tex]

From the table, after 5 years, the car is worth $11,726.52.

11726.52 - 8473.16 = 3253.36.

The SUV is worth $3,253.36 less than the car after 5 years.

To learn more about exponential functions, you can take a look at https://brainly.com/question/25983065


Itemized Charitable Contributions The average charitable contribution itemized per income tax return in Pennsylvania is $792. Suppose that
the distribution of contributions is normal with a standard deviation of $108. Find the limits for the middle 58% of contributions.

Answers

Answer:

B

Step-by-step explanation:

−4x − 10x what is the answer??????

Answers

Answer:

-14x

Step-by-step explanation:

Which expression is equivalent to (3 the square root of 2^5)^1/4

A- 2 5/12
B- 2 12/5
C- 2 2/20
D- 2 3/4

Answers

The answer is D trust me

solve the system using substitution 4x+3y=23 x-5=0

Answers

Answer:

y=1, x=5

Step-by-step explanation:

Since x-5=0 is given already, give the x a value and switch the 5 to the other side x-5=0 ----> x=5

Now we have a value for x, so plug x into the original equation,

4(5)+3y=23,

20+3y=23

Subtract both sides by 20

20-20+3y=23-20

3y=3

dvide both sides by 3

y=1

use the value for x we got earlier

y=1, x=5

a
1. Baby Amelia's parents measure her height every
month. She was born 46 cm long and grows on
average 2.5 cm per month. Write a linear equation to
find Baby Amelia's height, y, after x number of
months. (3 pts)
Slope:
y-intercept:
(1 pt)
Equation:
(1 pt)
After how many months will Amelia be 66 cm? Show
your work:
After
months. (1 pt)

Answers

Answer: equation: y = 2.5x + 46

slope: 2.5

y intercept: 46

she will be 8 months old by the time she is 66 cm

Step-by-step explanation: the eqation is written in y= mx+b format, where m is the slope and b is the y intercept. You can solve the last part of the problem by using this equation and subbing 66 in for y.

y = 2.5x + 46

66 = 2.5x + 46

20 = 2.5x

8 = x

What is equivalent to 10/100

Answers

Answer:

1/10

Step-by-step explanation:

10/100

Dividing both sides by 10

10 ÷ 10/100 ÷ 10

1/10

Hence,

10/100 is equivalent to 1/10

Answer:

Decimal: 0.1  (One tenth)

Fraction: 1/10

Percentage: 10%

Step-by-step explanation:

For decimal that would be 10% out of 100% which is what 10/100 is as a percentage. The fraction would have the numerator and denominator divided by 10.

The decimal would be equivalent when it is turned into a fraction 1/10 which is equivalent to 10/100.

I Hope this Helps

Part D: Your parents put in fencing around the walkway for safety. If 110 feet of
fencing is used, what are the dimensions of the pool? Show your work.

Answers

Answer:

Step-by-step explanation:

Not near enough information to know.

I ASSUME that the pool is surrounded by a walkway of constant width (w = 2 ft, from comments)

The pool shape is important as well. No mention of  the shape

If the pool is circular and the walkway is 3 ft wide

the fence encloses a diameter of 110/π = 35 ft

so the diameter of the pool would be 35 - 2(3) = 29 ft.

POOL IS RECTANGULAR from comments

If the pool is square and the walkway is 2 ft wide, each side of the fence is

110 / 4 = 27.5 ft and the pool would be 27.5 - 2(2) = 23.5 ft on a side.

There are an infinite number of rectangular width and length dimensions and walkway dimensions which would result in a fence length of 110 ft.

Edit from comments

Still an infinite number of rectangular length an width dimensions for a pool with a 2 ft wide walkway around it.

Let's say that we are told the pool is 12 ft wide with 2 ft walkway.

Let L be the pool length

110 = 2(12 + 2(2)) + 2(L + 2(2))

110 = 32 + 2L + 8

70 = 2L

L = 35 ft

Simplify: Square root 25ab^6 help please

Answers

Answer:

5 b^ 3 √ a

Step-by-step explanation:

Break up the radicand up into a product of known factors assuming positive real numbers.

Need help!! timed, and will give brainlist

Answers

Answer: 90

Step-by-step explanation:

1. Christina says the graph for the inequality r < -5 will be the same as the graph for the inequality -5 > r. Do you agree or disagree? Justify your reasoning. (Explain)​

Answers

Answer:

Agree

Step-by-step explanation:

Just copy and paste (without quotations): "I agree because r < -5 is just a flipped inequality of -5 > r. In other words, 'r is less than -5' is the same as '-5 is greater than r'."

Ben has agreed to play fewer video games and spend more time studying. He has agreed to play less than 10 hours of video games each week. On Monday through Thursday, he plays video games for a total of 5 1/2 hours. For the remaining 3 days, he plays video games for the same amount of time each day. Ben plays less than ____ hood of veido games each of the three days ?

Answers

Answer Ben plays video games for 1 1/2 hours per day for the 3 days

Step-by-step explanation:

He has (10 - 5 1/2) hours or 4 1/2 hours left to split evenly over the next 3 days.

Let D = #hours per day Ben plays, then

3D = 4 1/2

3D = 4.5

D = 4.5/3

D = 1.5

Phil must lay concrete down for his back patio and
purchased 23 cubic feet of concrete, what are possible
dimensions of the patio slab? Select all that apply.

Answers

Answer:

Concrete can be purchased by the cubic yard. How much will it cost to pour a slab 18 feet by 18 feet by 6 inches for a patio if the concrete costs $42.00 per cubic yard?

Step-by-step explanation:

I HOPE THIS HELPS

evaluate the expression when b=3/10 and x= -2/15
3x-b

Answers

Answer:

3x - b

3 (-2/15) - 3/10

-6/15 -3/10

-60/150 - 45/150

- 105/150

a room that needs to be tiled is 12 1/2 feet wide by 14 feet long. tiles that mesure 2x2 are $0.79 per tile. Tiles that measure 3x3 are 1.25 per tile. which size tile should be used for this project to save the most money? How many tiles would be needed? How much would you spend on them? HELP PLEASE!

Answers

Answer:

Step-by-step explanation:

Area of the room is 12.5(14) = 175 ft²

2x2 tiles are 4 ft²

175 /4 = 43.75 tiles so 44 will be needed

44($0.79) = $34.76

3x3 tiles are 9ft²

175/9 = 19.4444... so 20 will be needed

20($1.25) = $25.00

the larger tiles will cost $9.24 less than the smaller tiles.

Obviously some of the tiles will need to be cut to fit as the length and width of the room are not always a uniform number of tiles for either side.

Let X be the number of packages being mailed by a randomly selected customer at a certain shipping facility. Suppose the distribution of X is as follows:

x 1 2 3 4
p(x) 0.4 0.3 0.2 0.1

Answers

The required linear equation representing the distribution is

p(x) = -0.1x + 0.5

From the table given, we can generate the equation for the distribution.

Expressing as a coordinate form (x, p(x)). We can use the coordinate points (1, 0.4) and (2, 0.3)

The linear expression will be in the form p(x) = mx + b

m is the rate of change:b is the intercept

Gete the rate of change:

m = 0.3-0.4/2-1

m = -0.1/1

m = -0.1

Get the intercept.

0.4 = -0.1(1) + b

0.4  = -0.1  + b

b = 0.4 + 0.1

b = 0.5

Hence the required linear equation representing the distribution is

p(x) = -0.1x + 0.5

Learn more on linear equation here: https://brainly.com/question/18176080

The length of a rectangle is 2.3 inches more than the width. Find the dimensions of the
rectangle if the perimeter is 28.6 inches. Show work.

Answers

Answer:

See image

Step-by-step explanation:

Let w=width

And let l=length

Perimeter is the distance all the way around the outside of the shape. Add up all the sides to find it.

Step-by-step explanation:

let the width of the rectangle=x

the length=x+2.3

Since perimeter=28.6

We know that perimeter of a rectangle is given by

P=2(l+w)

28.6=2(x+2.3+x)

28.6=2(2x+2.3)

28.6=4x+4.6

28.6-4.6=4x

4x=24

x=24/4=6

Therefore width is 6inches and length is 8.3inches

I need the answer for this ASAP

Answers

Answer:

Y is cookies x is cupcakes

for the first birthday party: 20x + 40y = 61

For the second party 30x + 30y = 64.50

There aren't any other constraints

20x + 40y = 61

30x + 30y = 64.50

Step-by-step explanation:

Evaluate - 1 - ( - z ) where z = -2

Answers

Answer:

-3

Step-by-step explanation:

To solve you replace the -z with 2 because the -2=z not -z. With the z in parenthesis being negative it basically means invers so you would put the invers or opposite of -2 in the parentheses.

-1-(2)

-1+-2

=-3

The value of the expression -1 - (-z) where z = -2 is -3.

How to determine the value of the expression

To evaluate the expression -1 - (-z) where z = -2, follow these steps:

Replace z with -2 in the expression:

= -1 - (-(-2))

Simplify the double negative:

= -1 - (2)

Perform the subtraction:

= -3

So, the value of the expression -1 - (-z) where z = -2 is -3.

Learn more about Evaluate

https://brainly.com/question/29170041

#SPJ3

I need help asap! Pls :)

Answers

Answer:

Step-by-step explanation:

6x + 10 + 2x + 26 = 180

8x + 36 = 180

8x = 144

x = 18

The probability of any player winning 1 of 4 games is shown in the table. Three friends are going to play one of the games. The friends want to play the fairest game. Which game should they play? A) Game #1 B) Game #2 C) Game #3 D) Game #4

Answers

Answer:

Game #1B is the correct answer i guess so

The polygons are similar. Find the value of each variable.

Answers

[tex]\\ \sf{:}\dashrightarrow \dfrac{4}{x}=\dfrac{6}{9}[/tex]

[tex]\\ \sf{:}\dashrightarrow 6x=36[/tex]

[tex]\\ \sf{:}\dashrightarrow x=6[/tex]

#y

[tex]\\ \sf{:}\dashrightarrow \dfrac{y}{12}=\dfrac{12}{18}[/tex]

[tex]\\ \sf{:}\dashrightarrow \dfrac{y}{12}=\dfrac{2}{3}[/tex]

[tex]\\ \sf{:}\dashrightarrow 3y=24[/tex]

[tex]\\ \sf{:}\dashrightarrow y=8[/tex]

Here we go

4/x=6/94/x=2/32/x=1/3x=6

And

y/12=12/1818y=12²18y=144y=8

21.
2 poin
A student received the following grades last semester. Find the student's
semester grade point average.
Credits
Course
Statistics
Physics
Sociology
Literature
Tennis
Grade Points
A 4.0
A 4.0
B 3.0
B 3.0
D 10
1

Answers

Answer:

4.8

Step-by-step explanation:

add all values and divide it by 5

De cuántas formas pueden mezclarse los siete colores del arco iris tomándolos de tres en tres?

Answers

Answer:

hi

Step-by-step explanation:

1+1=2

A phone company is offering several different prepaid data plans.


Prepaid Single Phone Plan Prepaid Family Plan
$30 for 1 GB $30 for 1 GB
$35 for 6 GB $40 for 6 GB
$45 for 16 GB $50 for 16 GB
$65 for Unlimited Data $70 for Unlimited Data

Answers

What is the question???????

If 9 − 3x < 54, then which of the following must be true?

F.
x < 15
G.
x > 21
H.
x < 21
J.
x < ‒15
K.
x > ‒15

Answers

If 9 − 3x < 54 then the following x > -15 must be true.

Inequalities is an expression used to show the non equal comparison of two or more variables.

Given the inequality:

9 − 3x < 54

Subtracting 9 from both sides of the equation:

9 - 3x - 9 < 54 - 9

-3x < 45

Dividing both sides of the equation by -3:

-3x/-3 < 45/-3

x > -15

If 9 − 3x < 54 then the following x > -15 must be true.

Find more on inequality at: brainly.com/question/241541

IF the domain is {0, 2, -6}, what is the range of y=-2x+3?

Answers

Answer:

Range is {3,-1, 15}

Step-by-step explanation:

Answer:

{3, -1, 15} is the range.

Step-by-step explanation:

Example of binomial to polynomial
With a complete solution

Answers

Answer:

A binomial is an algebraic expression that has two non zero terms .eg. b¾+c/3 is a binomial in two variables b and c .

A polynomial is an expression that consists of variables (or indeterminate) terms , exponents and constants eg, 3x (SQUARED) minus 2xminus 10 is a polynomial.

PLEASE HELP!!

I got about half way through the problem but I ddont know hiw to solve the rest :\

solve the radical equation.
[tex] \sqrt{x + 3} - 1 = x[/tex]

Answers

Answer:

The answer is x = 1

Hope this helps! :)

(sqrt) x + 3 = x + 1

x + 3 = x^2 + 2x + 1

x + 3 - x^2 - 2x - 1 = 0

-x + 2 - x^2 = 0

x^2 + x - 2 = 0

(x - 1) (x + 2) = 0

x = 1, -2

^^no negatives/canceled

x = 1

The answer is x = 1
You welcome
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