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3 years ago

Which of the following options results in a graph that shows exponential growth?

Mathematics

2 answers:

poizon [28]3 years ago

7 0

Answer:

$f(x)=0.7(5)^x$

Step-by-step explanation:

$\text{Exponential function: }y=a\cdot b^x$

It is two types of function.

Exponential Growth: If function increase as value of x increase.

In this case, a>0 and b>1

Exponential decay: If function decrease as value of x increase.

In this case, a>0 and 0<b<1

We need to choose exponential growth function.

$\text{Exponential Growth function: }f(x)=0.7(5)^x$

Here a=0.75>0 and b=5>1

Therefore, This function is exponential growth.

raketka [301]3 years ago

6 0

Answer:

I took the test, the answer is C

Step-by-step explanation:

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A large serving of soup from a take-out restaurant is 4/5 liter. The restaurant has 3 liters of soup. The diagram below models t

Airida [17]

Answer:

The quantity of total serving soup does restaurant has = T = 2 $\dfrac{2}{5}$ liters .

Step-by-step explanation:

Given as :

The quantity of large serving soup = $\dfrac{4}{5}$ liters

The total quantity of soup does restaurant has = 3 liters

Let the quantity of total serving soup does restaurant has = T liters

So, According to question

The quantity of total serving soup does restaurant has = The quantity of large serving soup × total quantity of soup does restaurant has

Or, T = $\dfrac{4}{5}$ × 3

Or, T = $\frac{4\times 3}{5}$

Or, T = $\dfrac{12}{5}$

∴ T = 2 $\dfrac{2}{5}$ liters

So, quantity of total serving soup does restaurant has = T = 2 $\dfrac{2}{5}$ liters

Hence,The quantity of total serving soup does restaurant has = T = 2 $\dfrac{2}{5}$ liters . Answer

5 0

2 years ago

Find sin D sin E cos D and cos E

Andrew [12]

9514 1404 393

Answer:

sin(D) = cos(E) = (√3)/2

cos(D) = sin(E) = 1/2

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationships between trig functions and right triangle sides.

Sin = Opposite/Hypotenuse

Cos = Adjacent/Hypotenuse

For this diagram, this means ...

sin(D) = cos(E) = (13√3)/26 = (√3)/2

cos(D) = sin(E) = 13/26 = 1/2

5 0

2 years ago

Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is

Volgvan

Answer:

(x,y)=(0,7.333)

Step-by-step explanation:

We are required to:

Maximize p = x + 2y subject to

x + 3y ≤ 22
2x + y ≤ 14
x ≥ 0, y ≥ 0.

The graph of the lines are plotted and attached below.

From the graph, the vertices of the feasible region are:

(0,7.333)
(4,6)
(0,0)
(7,0)

At (0,7.333), p=0+2(7.333)=14.666

At (4,6), p=4+2(6)=4+12=16

At (0,0), p=0

At (7,0), p=7+2(0)=7

Since 14.666 is the highest, the maximum point of the feasible region is (0,7.333).

At x=0 and y=7.333, the function p is maximized.

7 0

3 years ago

A baseball stadium sells game tickets for $8 each and has a capacity of 200 people. The function M(x) = 8x represents the amount

ollegr [7]

The domain of the function is whole numbers less than or equal to 200

The given parameters;

cost of the game tickets = $8 per spectator

maximum capacity of the stadium = 200

The function for the amount of money the baseball stadium makes from ticket sales is given as;

M(x) = 8x

where;

x is the number of spectators

Since the maximum capacity of the stadium is 200, the number of spectators should be less or equal to 200.

x ≤ 200

Thus, the domain of the function is whole numbers less than or equal to 200

Learn more here: brainly.com/question/16892163

8 0

1 year ago

104/5.1 rounded to the nearest tenth

matrenka [14]

Answer:

20.4

Step-by-step explanation:

104 ÷ 5.1 = 20.3921

20.39 = 20.4

4 0

2 years ago