The graph represents a population of bacteria over a number of days, modeled with an exponential function. Based on the graph, which statement is true?
A.Initially there were 1,000 bacteria; the population will reach zero.

B.Initially there were 1,000 bacteria; the population will not reach zero.

C.Initially there were more than 1,000 bacteria; the population will reach zero.

D.Initially there were more than 1,000 bacteria; the population will not reach zero.

Answer: $38 because 30-8= 22, 22+16=38

Answer:

38 dollars

Step-by-step explanation:

He starts with 30, loses 8 so 30-8 is 22 and he gets 16 so 22+16 is 36

Answer:

R1. Given

R2. Subtraction Property of Equality

R3. Distributive Property

S4. 9x = 61

R5. Division Property of Equality

Answer:

40x?

Step-by-step explanation:

Answer:

x^2+40

Step-by-step explanation:

The transformation y = 7f(x - 8) has two effects on the graph of the original function y = f(x): a horizontal shift to the right by 8 units and a vertical stretching by a factor of 7.

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

The transformation to the graph y = f(x) if it is transformed to y = 7f(x−8)

The horizontal shift to the right by 8 units means that each x-value in the original function is decreased by 8. This has the effect of shifting the entire graph of the function 8 units to the right along the x-axis.

The vertical stretching by a factor of 7 means that each y-value in the original function is multiplied by 7. This has the effect of stretching the entire graph of the function vertically by a factor of 7.

Together, these two effects cause the graph of the transformed function y = 7f(x - 8) to be a vertically stretched version of the original graph, shifted 8 units to the right along the x-axis.

The shape of the graph will remain the same, but it will be taller and shifted to the right compared to the original graph.

To learn more about the transformations click here :

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Answer:

24) D

25) D

Step-by-step explanation:

24) D

We want to find the equation of a line (in slope-intercept form) that passes through (2, -2) and is perpendicular to [tex]y=\frac{2}{5}x+2[/tex].

First, let's find the slope of our new line.

Remember that perpendicular slopes are negative reciprocals of each other.

Therefore, to find the slope of our new line, we will flip our old slope and add a negative.

Therefore, the slope of our new line is -5/2.

Now, we can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

So, let's substitute -5/2 for our slope and (2, -2) for our point (x₁, y₁). This yields:

[tex]y-(-2)=-\frac{5}{2}(x-2)[/tex]

Simplify:

[tex]y+2=-\frac{5}{2}(x-2)[/tex]

Let's convert this to slope-intercept form. Distribute the right:

[tex]y+2=-\frac{5}{2}x+5[/tex]

Subtract 2 from both sides. So, our equation is:

[tex]y=-\frac{5}{2}x+3[/tex]

Our answer is D.

25)

We know that the cost for buying x items is given by the function:

[tex]C(x)=6x[/tex]

We also know that the items are sold in packages of 10 only. And no one can buy more than 5 packages. In other words, we can buy 0, 1, 2, 3, 4, or 5 packages.

So, let's see how much it will be if we buy 0 packages. This will just be:

[tex]C(0)=6(0)=\$0[/tex]

If we buy 1 package, there will be 10 items in them. So:

[tex]C(10)=6(10)=\$60[/tex]

If we do this for 2 packages (20 items), 3 packages (30 items), and so on, we will get:

[tex]C(20)=6(20)=\$120\\C(30)=6(30)=\$180\\C(40)=6(40)=\$240\\C(50)=6(50)=\$300[/tex]

So, our range is:

[tex]\{0, 60, 120, 180, 240, 300\}[/tex]

The correct answer is D.

And we're done!

Answer: 0.3954 Miles per minute

Step-by-step explanation:

Answer:

Step-by-step explanation:

2088/69=34.8

Answer:  2

Step-by-step explanation:

                             Current Age              Age in future (x years)

Brother 1:                   15                                 x + 15

Brother 2:                  22                                x + 22

The product of their ages in the future is 408:

            (x + 15)(x + 22) = 408

            x² + 37x + 330 = 408          Expanded

            x² + 37x - 78 = 0                  Subtracted 408 from both sides

            (x + 39)(x - 2) = 0                 Factored

   x + 39 = 0     x - 2 = 0                  Applied Zero Product Property

         x = -39         x = 2                   Solved for x

                ↓

          Disregard since "future" years cannot be negative

Given parameters:

Real area = 9000sq yards

Map area = 6sq yards

Unknown:

Scale of the map = ?

Solution:

A scale is the ratio of the map unit to the real world expression. Maps use scales to present the real world in a smaller sample space:

   For this problem;

              6sq yards on map = 9000sq yards on ground

              1sq yards on map = xsq yards on ground

                     6x  = 9000

                         x = [tex]\frac{9000}{6}[/tex]  = 1500sq yards

So,

            1sq yards on map is 1500sq yards on ground

e to f is 10 d to f 10 GED and eukaryotic disease and

Answer:

8x-4

Step-by-step explanation:

combine the 3x with the 5x and get 8x.

after u do that add -10 to positive six and thats -4.

so your answer is 8x-4

Answer:

true

Step-by-step explanation:

is it true or false

Answer:

x=7/2  x=7/3

Step-by-step explanation:

Answer:

2 ; $9.94

Step-by-step explanation:

Given that:

Balloons chosen : 6 and 50

Greatest possible number of bouquet that can be made using all balloons

To find this ; obtain the greatest common factor of 6 and 50

Factors of 6 : 1, 2, 3, 6

Factors of 50 : 1, 2, 5, 10, 25, 50

.the greatest factor common in both is 2.

Greatest possible number of bouquet using all balloons = 2

If each bouquet sells for $4.97

Earning = 2 * $4.97

Earning = $9.94

Answer:

y < - x + 17 - 2x + 3y - 6

-3y -3y

-4y < - x + 17 - 2x - 6

+6 + 6

-4y > - x + 23 -2x

+2x +2x

-4y < x + 23

-4y < x + 23 should be the answer.

Answer:

4 units to the left of 3 7 units to the left of 3 4 units to the right of 3 7 units to the right of 3

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

Add 3 units to the right

Subtract 7 units to the left

Total = 4 units to the left

Or you can say -4

I hope this helps you :)

Answer:

Step-by-step explanation:

The functions

Axis of symmetry is defined by x- value of the vertex which is calculated by a formula -b/2a

Ranking in ascending order is

Answer:

Step-by-step explanation:

we are expected to calculate how much each player is making per game, compare the values and tell who makes more money per game

Clayton Kershaw

given data

$30.15 million per year

There are 162 games in a major league baseball season.

therefore a game will be worth

=30,150,000/162

=$186,111

Carmello Anthony

given data

$24.81 million per year

There are 82 games in a NBA season.

therefore a game will be worth

=24,810,000/82

=$302,561

from the analysis, Carmello Anthony make more money per game

Answer:

10101010.10051050010010

Step-by-step explanation:

Answer:no

Step-by-step explanation:

Answer:

what that dude said

Step-by-step explanation:

Answer:

X’ is (3,3) and Y’ is (-3,-4)

Step-by-step explanation:

Here, we want to get the coordinates of the point XY after translation and rotation about the origin at 90 degrees

X (-3, 1 ) and Y (4,-5)

Using the translation we have

(-3, 1 + 2) and (4, -5 + 2)

= (-3,3) and (4 , -3)

Rotation about the origin, we have

(x , y) = (y , -x)

So the new set of points will be:

(3,3) and (-3, -4)

Transformation involves changing the position of a point or line or shape.

See attachment for the graph of X"Y"

The endpoints are given as:

[tex]\mathbf{X = (-3,1)}[/tex]

[tex]\mathbf{Y = (4,-5)}[/tex]

A translation of [tex]\mathbf{(x,y) \to (x,y+2)}[/tex] means that:

[tex]\mathbf{X' = (-3,1+2)}[/tex]

[tex]\mathbf{X' = (-3,3)}[/tex]

[tex]\mathbf{Y' = (4,-5 + 2)}[/tex]

[tex]\mathbf{Y' = (4,-3)}[/tex]

A 90 degrees rotation about the origin is:

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

So, we have:

[tex]\mathbf{X" = (3, 3)}[/tex]

[tex]\mathbf{Y" = (-3, 4)}[/tex]

See attachment for the graph of X"Y"

Read more about transformation at:

https://brainly.com/question/13801312

Answer:

44.09

Step-by-step explanation:

37.18+50.84+44.25=132.27

132.27 divided by 3

Answer:

44.09

I would show my work but I realize it would take a long time and you said to "pls hurry!"

Answer:

1/5

Step-by-step explanation:

Answer:

7.67 liters

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

(2p-3r)^2

(2•6-3•2)^2

(12-6)^2

(6)^2

36

Adiosss

Answer:

x^2

Step-by-step explanation:

=(x^3/x^2)^2

=(x^3/x^2)*(x^3/x^2)

=x^3*x^3/x^2*x^2

Answer:

slope is 3/2

extra info:

y-interccept is -3

equation of the line is y= 3/2x - 3

Answer:

hii

Step-by-step explanation: