Given the system of equations below, Identify the number of solutions.

x + 9y = 1

2x + 18y = -16

Question 3 options:

No Solution


Infinitely Many Solutions


3 Solutions?


One Solution

Answer:

The extraneous solution is x = -5/6

Length = 4 ft

Width = 5 ft

Step-by-step explanation:

Length = 3x - 5 ft

Width = 2x - 1 ft

Height = 2 ft

Volume = 40 ft^3

Volume = length × width × height

40 = (3x - 5)(2x-1)(2)

40 = (6x^2 - 3x - 10x + 5)(2)

40 = 12x^2 - 6x - 20x + 10

12x^2 - 26x + 10 - 40 = 0

12x^2 - 26x - 30 = 0

Divide through by 2

6x^2 - 13x - 15 = 0

Solve using factorization method

(6x + 5) (x - 3) = 0

6x + 5 = 0

6x = -5

x = -5/6

Or

x - 3 = 0

x = 3

The extraneous solution is x = -5/6

Length = 3x - 5 ft

= 3(3) - 5

= 9 - 5

= 4 ft

Width = 2x - 1 ft

= 2(3) - 1

= 6 - 1

= 5 ft

Answer:

0+0=0

Step-by-step explanation:

zero added to itself is still 0 so its equal to nothing

Answer:

it equals 0

Step-by-step explanation:

Answer:

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

The range is the set of all the values of  y.

Domain:{ 4 , 6 , 3 , 5 , 7 }

Range: { 6 , 10 , 3 , 9 , 4 , 8 }

Answer: Domain: (3,4,5,6,7) Range:(3,4,6,8,9,10)

Step-by-step explanation: Domain is all the x values and range is all the y values

Answer:

[tex]=x(2y-x)(2y-3x)[/tex]

Step-by-step explanation:

We want to factor the following expression:

[tex]x(2y-x)^2+2x^2(x-2y)[/tex]

First, notice that both of the terms have an x. Thus, let's factor out the x first:

[tex]=x((2y-x)^2+2x(x-2y))[/tex]

Now, notice the similarity between (2y-x) and (x-2y). If we multiply either of them by a negative, they will be the same.

Therefore, we can factor out a negative from (x-2y). This will give us:

[tex]=x((2y-x)^2+2x(-(2y-x))[/tex]

Since multiplication is commutative:

[tex]=x((2y-x)^2-2x(2y-x))[/tex]

Now, we can factor out the (2y-x):

[tex]=x(2y-x)((2y-x)-2x)[/tex]

And we can simplify this to get:

[tex]=x(2y-x)(2y-3x)[/tex]

Alternate Method:

Starting from here:

[tex]x((2y-x)^2+2x(x-2y))[/tex]

We can factor out a negative from the (2y-x)² term. This yields:

[tex]=x((-1(x-2y))^2+2x(x-2y))[/tex]

Since -1 squared is positive, we can simplify:

[tex]=x((x-2y)^2+2x(x-2y))[/tex]

Now, we can factor out the (x-2y):

[tex]=x(x-2y)((x-2y)+2x)[/tex]

Simplifying gives:

[tex]=x(x-2y)(3x-2y)[/tex]

While this looks different, they are exactly the same. If we factor out a negative from both the second and third term, we get:

[tex]=x(-(2y-x))(-(2y-3x))[/tex]

The negatives will cancel, leaving us with:

[tex]=x(2y-x)(2y-3x)[/tex]

This is exactly the same as what we acquired previously.

Therefore, both answers are correct.

35/20 + 3/20 = 35/20 + 3/20 = 19/10

Answer:

a

Step-by-step explanation:

a

Answer:

 34918

Step-by-step explanation:

Answer:

B.18 times 2/9=4

Step-by-step explanation:

Given that :

Number of mixed nuts grabbed by pete = 18

Fraction of almonds = 2/9

Number of almonds grabbed by pete :

Fraction grabbed × number of mixed fruits grabbed

2/9 × 18

= 36 / 9

= 4

Hence, Pete grabbed 4 almonds

Answer:

6 minutes

Step-by-step explanation:

288/48 = 6

We can double check our answer multiplying 48 by 6, and we get 288.

Answer: 12 miles

Step-by-step explanation:

Answer: Adam will run 12 miles in 1 hour.

Step-by-step explanation:

Ok, so we know 4 miles in 20 minutes, correct?

Multiply 20x2. You will get 40. Then, multiply 4x2. That is 8. So in 40 minutes he ran 8 miles. So if we multiply 20x3, we would get 60 minutes which is an hour. So we need to multiply 4 by 3–12.

Answer:

y=0.85x

Jill paid $34 for a toaster.

Step-by-step explanation:

Given that, x and y are the original cost and the sale price of the toaster oven after discount.

As there is 15% off on the original cost, so,

the discount amount = 15% of x

[tex]=\frac{15}{100}x[/tex]

=0.15x

Now, sale price = original cost - discount

[tex]\Rightarrow y = x-0.15x[/tex]

[tex]\Rightarrow y=0.85x[/tex]

This is the required equation in the form of y=kx, where k=0.85.

If the original cost of the toaster is $40.

Then the sale price,[tex]y=0.85\times 40=34.[/tex]

Hence, Jill paid $34 for a toaster.

Answer:

[tex]\frac{\text{2csc(2t)}}{\text{sec(t)}}[/tex]

Step-by-step explanation:

[tex]\frac{\text{cot(t)+tan(t)}}{\text{sec(-t)}}[/tex]

~Use the identity [ sec(-x) = sec(x) ]

[tex]\frac{\text{cot(t)+tan(t)}}{\text{sec(t)}}[/tex]

~Simplify

[tex]\frac{\text{2csc(2t)}}{\text{sec(t)}}[/tex]

Best of Luck!

Answer:

2

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

She picked a pink shirt 20 out of 100 times.

20/100 = 1/5

She picked a pink shirt 1/5 of the times.

There are 5 shirts.

1/5 * 5 = 1

Answer: 1

Step-by-step explanation:

When they make a mistake like in investments a business and have it go crash and not get a lot of money and not make a profit or make nothing a lose money on that you spent on the business or buying things you think you can afford but you can't. This will make a impact because there are things that if you need and do not have the money for like a family you could be going down hill and have to work all dat or do something to get there family back on there feet.

Answer:

The answer is "Diego playlist has 36 rock songs, 9 country songs and 27 hip hop songs and 24 electronic songs".

Step-by-step explanation:

Total Songs on playlist = 90%

rock = 40%

country = 10%

hip hop = 30%

We need to find the number of songs in each genre.

rock = 40%

Therefore, rock album number[tex]= \frac{40}{100} \times 90 = 36 \ songs[/tex]

country = 10%

Thus number of country songs  = [tex]\frac{10}{100} \times 90 = 9\ songs[/tex]

hip hop = 30%

So number of hip hop songs  [tex]= \frac{30}{100} \times 90 = 27 songs[/tex]

Or resting was its genre of computing.  Dividing number of lyrics in the digital genre and amount of songs in the rock genre in the country genre  

Complete sum of songs of the hip hop genre.  

We get equation framing; framing;  

Amount of electronica songs = [tex]90-30-9-27=24 \ songs[/tex]

Answer:

5x + 12y = 30

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Given

2y = - [tex]\frac{5}{6}[/tex] x + 5 ( multiply through by 6 to clear the fraction )

12y = - 5x + 30 ( add 5x to both sides )

5x + 12y = 30 ← in standard form

Answer:

x=3, y= -2

Step-by-step explanation:

3x + 9y = -9

x + y = 1

Multiply the second equation by -3

-3x-3y = -3

Add this to the first equation to get rid of the x's

3x + 9y = -9

-3x -3 y = -3

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

     6y = -12

Divide by 6

6y/6 = -12/-6

y = -2

3x + 9y = -9

x + y = 1

Multiply the second equation by -9

-9x-9y = -9

Add this to the first equation to get rid of the y's

3x + 9y = -9

-9x -9 y = -9

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

     -6x = -18

Divide by -6

-6x/-6 = -18/-6

x = 3

Answer:

Here

the given equations are:-

3x + 9y = -9

or,3(x +3y)= -9

or,x+ 3y = -3 ................. (1)

x + y = 1 ................... (2)

Now , subtracting equation (2) from (1) , we ger:-

x + 3y = -3

x + y = 1

- - -

__________

0 + 2y = -2

or, y = -1

putting value of y in equation (2) , we get:-

x +(-2) = 1

or, x - 2 = 1

or x = 3

HENCE,

x = 3 and y = -1 are the values of x and y .

Thank me later.

Answer:

9) it's not, doesn't pass the vertical line test

12) it is because it does pass the vertical line test

Answer:

Number 9 is not a function number 12 is a function

Step-by-step explanation:

Number 9 is not a function because it did not pass the vertical line test which you have to hold a tool vertically and see if there are a line that touches it more than once if it does then it fails and it is not a function and if it only touches once then it passes and is a function but number 9 does touch more than one time so it is not a function

Number 12 is a function because it pass the vertical line test

Hope this helps!

Answer:

The answer is 122° because they are adjacent angles

Answer:(1,-6)

Step-by-step explanation:

R moved down 4 and left 3 making R’. all u have to do is move U down 4 and left 3 to create U’

Answer: 4/10, or 40%, or 24

Step-by-step explanation: 2/10+4/10 is 6/10, which is 60-36, which is 24. This means the remaining 24 pies are neither apple or peach.

Number of pies that were neither apple nor peach = 24

Fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given,

Total pies sold last month = 60

No. of apple pies = 2/10 of 60

                             = 2 × 60/10

                             = 12

No. of peach pies = 4/10 of 60

                              = 4 × 60/10

                              = 24

Pies that are neither apple nor peach pie

= Total pies - (No. of apple pies + No. of peach pies)

= 60 - (12 + 24)

= 60 - 36

= 24

Hence, 24 pies are neither apple nor peach.

Learn more about fraction here:

https://brainly.com/question/10354322

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Answer:

I have the same questions

Step-by-step explanation:

Answer:

2x-2

Step-by-step explanation:

Answer:

I think the two tanks will be the same in week 80

Step-by-step explanation:

Step-by-step explanation:

if p+iq =5+3i so

p=5 & q=3

Answer:

Step-by-step explanation: 25% of Oil

25%= 1/4 in a fraction

1/4x16=4

Answer 4 Gallons