Is y = 3 a possible solution to the following system of equations? Explain why or why not.
X + 2y + z = 28
3x + 3z = 60
O y = 3 is not possible because when 3 is submitted in for y in the first equation the value for x + z is not 20.
O y = 3 is possible because when 3 is substituted in for y in the first equation the value for x + 2 times 3 is 60.
Oy - 3 is possible because there is no y term in the second equation so y can be any value.
Oy - 3 is not possible because there is no y term in the second equation making it a no solution situation
No

Number of bacteria each species start out with for the given exponential growth function is equals to 1000.

" Exponential growth function is defined as the the process of the increment in the initial quantity over the period of time 't'."

Formula defined

Exponential model

[tex]y =y_{0} e^{kt}[/tex]

[tex]y =[/tex]growth in the quantity

[tex]y_{0}[/tex] = initial quantity

[tex]k=[/tex] exponential growth

[tex]t=[/tex] time taken to grow

According to the question,

Given exponential function,

For Species A :  [tex]y=1000 (2^{\frac{t}{3} } )[/tex]

For Species B :  [tex]y=1000 (2^{3t} )[/tex]

't' represents the number of days after the growth begins

a. For the given condition of the exponential growth function ,

t = 0 when species start out with

For species A

   [tex]y=1000 (2^{\frac{0}{3} } )[/tex]

⇒ [tex]y=1000[/tex]

For species B

   [tex]y=1000 (2^{3(0) } )[/tex]

⇒ [tex]y=1000[/tex]

Hence, number of bacteria each species start out with for the given exponential growth function is equals to 1000.

Learn more about exponential growth function here

https://brainly.com/question/11487261

#SPJ2

Answer:

y = 5x - 2

Step-by-step explanation:

Answer:

[tex]C" = (-4,-3)[/tex]

Step-by-step explanation:

Given

[tex]C = (4,3)[/tex]

Required

The coordinates of C"

From the question, we understand that:

C is reflected over x-axis to give C'

The rule to this is:

[tex]C(x,y) \to C'(x,-y)[/tex]

So, we have:

[tex]C(4,3) \to C'(4,-3)[/tex]

Next, C' is reflected over y-axis to give C''

The rule to this is:

[tex]C'(x,y) \to C"(-x,y)[/tex]

So, we have:

[tex]C'(4,-3) \to C"(-4,-3)[/tex]

Answer: This would be how I would do it, so the answer might vary from what the teacher wants.

A 135 degree angle is a 90 degree plus 45 degree. So I would first draw a straight line, then divide the line into two 90 degree angles with a perpendicular bisector. Then I would draw a line dividing one of those 90 degree angles into two 45 degree angles. Now I would erase the middle line and now you have a 135 degree angle hint 90 + 45.

Step-by-step explanation:

Answer:

Step-by-step explanation:

90 ° + 45° = 135°

Answer:

XOC = 60

Step-by-step explanation:

AOC = DOB because they are vertical angles

AOX+XOC = 25+45

10+XOC = 70

XOC = 70-10

XOC = 60

Answer:

yes

Step-by-step explanation:

[tex]18x^6 + 5y^6 \ cannot\ be \ factorized \ further. \\\\So \ it \ is \ a \ prime\ polynomial.[/tex]

Answer:

317.49508~317.50

Step-by-step explanation:

a=15.937253933193771

b=7.9686269665968858

a²+b²=(15.937253933193771)²+(7.9686269665968858)²

=(253.99606)+(63.49902)

=317.49508

Answer:

The 8th graph.

Step-by-step explanation:

It has a horizontal line over two which indicates that the y axis is known and over 2.

The required graph of the given inequality y > 2 is shown in the attached file, which is the correct answer that would be an option (H).

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

We have been the given  inequality y > 2

Plot the "y=" line (a solid line for y or y, and a dashed line for y or y>). The shade above the line for a "greater than" (y> or y), or below the line for a "less than" (y or y).

It has a horizontal line over two which represents that the y-axis is known and over 2 in the attached graph.

Therefore, the required graph of the given inequality y > 2 is shown in the attached file.

Hence, the correct answer would be option (H).

Learn more about inequalities here:

brainly.com/question/20383699

#SPJ2

Answer:

4 + (1/3)w + w = 24

subtract 4 from both sides

(1/3)w + w = 20

multiply both sides by 3 to clear the fraction

w + 3w = 60

4w = 60

Divide both sides by 4

w = 15

Answer:

here is the answer bae. Feel free to ask for more

Answer: -m3+m2

Step-by-step explanation: 2m2-[m2(7m-)]6m2

2m2-7m2-m3+6m2

-m3+m2

Given:  The given function is

[tex]f(x,y)=c(x-y)[/tex]

To find: Here we need to find the value of c for which f(x,y) will be a joint

discrete probability density function.

Solution:

Now, to find c we have,

[tex]\int\limits^3_{-2} \,\int\limits^2_0 {f(x,y)} \, dx dy\\=\int\limits^3_{-2} \,\int\limits^2_0 {c(x-y)} \, dx dy\\\\=\int\limits^3_{-2} \,[2c-2cy]dy\\=10c-5c\\=5c\\The integral should be1.\\So, 5c=1\\[/tex]

∴[tex]c=\frac{1}{5}[/tex]

Therefore, the required value of c is 1/5.

Transformation involves changing the form of a function.

The equation that represents g(x) is (c) [tex]g(x) =-\sqrt[3]{x+1}[/tex]

Function f(x) is given as:

[tex]f(x) =\sqrt[3]{x}[/tex]

The rule of this transformation (i.e. reflection) is:

[tex](x,y) \to (x,-y)[/tex]

So, we have:

[tex]f'(x) = -f(x)[/tex]

This gives

[tex]f'(x) =-\sqrt[3]{x}[/tex]

The rule of this transformation (i.e. translation) is:

[tex](x,y) \to (x+1,y)[/tex]

So, we have:

[tex]g(x) = f'(x+1)[/tex]

This gives

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

Hence, the equation that represents g(x) is (c)

Read more about transformation at:

https://brainly.com/question/12619643

Answer:

Its D

Step-by-step explanation:

just did the quiz

Answer: 70,900 Rs

Step-by-step explanation:

  8400

  8000

  2000

 10000

 40000

   3000

+     500

  71900

-    1000

   70900

= 70,900 Rs

Answer:

a║b

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Kunal      Sagar

12              10         -6 years before is 6:5

18             16          -Now

22            20         - 4 years in the future at 11:10

So it all works out :)

--Answer--

The second one, fourth, and fifth.

--Explanation--

1. - 6.283...

2. 7.142...

3. 6.928...

4. 7.483...

5. 7.874...

Answer:

Region A represents the solution to the system of inequalities.

96/2= 48

given figure is a square.the line is bisect the angel

thank you

Answer:

x + 6y = -3

Step-by-step explanation:

Explained in the paper.

Answer:

4

Step-by-step explanation:

18x = 12(x+2)

18x = 12x+24

18x-12x = 24

6x = 24

x = 4

Answer: f=3

Step-by-step explanation:

The intervals means that angle f is between the quadrant 1.

where x+y=90

Answer:2. okra

Step-by-step explanation:

Answer:

The data points in Set 1 are more spread out than the points in Set 2 because the mean absolute deviation of set 1 is larger.

Step-by-step explanation:

Given

Mean absolute deviations of set 1 and 2

Required

Complete the gap

From the complete question, we have that:

set 1 has a larger mean absolute deviation than set 2

This means that:

The dataset of set 1 is more spread out than that of set 2

The reason for this is that:

set 1 has a larger mean absolute deviation

Answer:

y is -4.55

Step-by-step explanation:

Answer:

9 would be the correct solution to this question?

Answer:

the second option

y = (-1/2)x + 11

Step-by-step explanation:

x = 2

y = (-1/2)×2 + 11 = -1 + 11 = 10

the same as the table.

x = 4

y = (-1/2)×4 + 11 = -2 + 11 = 9

the same as the table.

x = 6

y = -3 + 11 = 8

the same as the table.

x = 8

y = -4 + 11 = 7

the same as the table.

I think B. 3,6,12,24 is the answer

Answer:

C

Step-by-step explanation:

the pattern is add 3

11 + 3 = 14

14 + 3 = 17

17 + 3 = 20

Answer:

9

Step-by-step explanation:

There is no radical it's just 9