An exponential function, f (x), is graphed on the coordinate plane. What is the equation for the function?

A. f(x)=2(3)^x
B. f(x)=4(2)^x
C. f(x)=3(2)^x
D. f(x)=3(4)^x

Answer:

340,000

Step-by-step explanation:

10 × 34,000= 340,000

Answer:

yes

Step-by-step explanation:

A proportional equation is of the form

y = kx where k is the constant of proportionality

y = 150x is proportional

The absolute maximum value of f(x, y) on D is 0, and the absolute minimum value is -64.

(a) To find the critical points of the function f(x, y) = 4xy^2 - x^2y^2 - xy^3, we need to find the values of x and y where the partial derivatives with respect to x and y are equal to zero.

Taking the partial derivative with respect to x:

∂f/∂x = 4y^2 - 2xy^2 - y^3

Taking the partial derivative with respect to y:

∂f/∂y = 8xy - 2x^2y - 3xy^2

Setting both partial derivatives equal to zero and solving the resulting system of equations will give us the critical points.

4y^2 - 2xy^2 - y^3 = 0   ...(1)

8xy - 2x^2y - 3xy^2 = 0   ...(2)

From equation (1), we can factor out y^2:

y^2(4 - 2x - y) = 0

This gives us two possibilities: y = 0 or 4 - 2x - y = 0, which simplifies to y = 4 - 2x.

Substituting y = 0 into equation (2), we get:

8xy = 0

This implies that either x = 0 or y = 0.

So, we have three possible cases for the critical points:

Case 1: y = 0, which implies x = 0 from equation (2).

Case 2: x = 0, which implies y = 4 from the equation y = 4 - 2x.

Case 3: Solving the equations 4 - 2x - y = 0 and 8xy - 2x^2y - 3xy^2 = 0 simultaneously will give us additional critical points.

(b) To find the absolute maximum and minimum values of f(x, y) on the closed triangular region D, we need to evaluate the function at the vertices of the triangle and at the critical points found in part (a).

The vertices of the triangle D are (0, 0), (0, 6), and (6, 0).

Evaluate f(x, y) at the vertices:

f(0, 0) = 0

f(0, 6) = 0 - 0 - 0 = 0

f(6, 0) = 4(6)(0)^2 - (6)^2(0)^2 - (6)(0)^3 = 0

Evaluate f(x, y) at the critical points:

f(0, 0) = 0

f(0, 4) = 4(0)(4)^2 - (0)^2(4)^2 - (0)(4)^3 = -64

f(2, 2) = 4(2)(2)^2 - (2)^2(2)^2 - (2)(2)^3 = 8 - 8 - 16 = -16

Therefore, the absolute maximum value of f(x, y) on D is 0, and the absolute minimum value is -64.

Learn more about critical points and finding extrema of functions here:

https://brainly.com/question/31339061

#SPJ11

Answer:

11.96 USD = 230.41 MXN
11.96 MXN = .62 USD

Step-by-step explanation:

6 pastries for 17.94 = 1 pastry for 2.99 = 4 pastry for 11.96
11.96 USD = 230.41 MXN
11.96 MXN = .62 USD

Answer:

-5.5

Step-by-step explanation:

Answer:

-5.5

Step-by-step explanation:

-54/8  

-5 first just put the whole number because that won't change

4/8 simplified is 1/2

1/2 as a decimal is 0.5

your answer is -5.5

The equation of the circle in this problem is given as follows:

(x - 2)² + (y + 4)² = 36.

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

The coordinates of the center of the circle are given as follows:

(2, -4).

The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, hence, considering the horizontal line from the center to point (8, -4), it's measure is given as follows:

r = 6.

Thus the equation is:

(x - 2)² + (y + 4)² = 36.

More can be learned about the equation of a circle at https://brainly.com/question/1506955

#SPJ1

Answer:

x=7

Step-by-step explanation:

1.2=0.3x-0.9

2.1=0.3x

7=x

x=7

Answer: h(3)= -4 h(-3)=-16

Step-by-step explanation:

Plug in 3 and -3 for x and solve

h(3)= 2(3)-10

h(-3)= 2(-3)-10

Answer:

depends what you are doing

Step-by-step explanation:

:)

Answer:

c = [tex]\frac{25}{4}[/tex]

Step-by-step explanation:

To make a perfect square

add ( half the coefficient of the x- term )² to x² + 5x

x² + 5x + ([tex]\frac{5}{2}[/tex] )²

= x² + 5x + [tex]\frac{25}{4}[/tex]

= (x + [tex]\frac{5}{2}[/tex] )² ← a perfect square

Step-by-step explanation:

Yes this is actually correct, labelling numbers gives it a meaning, and also makes it understandable to whoever is reading or solving a problem associated with the number

12+2=3 ordinarily would be false because

12+2=14

but when a label is attached

that is  12 inches + 2 feet= 3 feet

12 inches is  the same as 1 foot

so 1foot+2feet= 3 feet  

9 + 6 = 3 ordinarily is false as 9 + 6 = 15

but

√9feet + 6feet = 3yard  

3feet + 6feet = 3yard  

The probability that a randomly selected grapefruit weighs more than 1.25 pounds is approximately 0.019.

To find the probability that a randomly selected grapefruit weighs more than 1.25 pounds, we need to calculate the area under the normal distribution curve to the right of 1.25 pounds.

First, we calculate the z-score using the formula:

z = (x - μ) / σ,

where

x is the value we're interested in,

μ is the mean, and

σ is the standard deviation.

In this case, x = 1.25, μ = 1, and σ = 0.12.

z = (1.25 - 1) / 0.12 = 2.08

Next, we look up the corresponding area under the standard normal distribution curve for a z-score of 2.08. Using a standard normal distribution table or calculator, we find that the area to the right of 2.08 is approximately 0.019.

Learn more about probability here:

https://brainly.com/question/31828911

#SPJ11

Answer: WHAT ARE YOU TRYING TO DO FIND THE SLOPE OR FIND X OR FIND SOMETHING DIFFRENT

Step-by-step explanation:

Answer:

2f+2y+pd+z(d+2)

Step-by-step explanation:

If Brandon buys 2 gifts and the cost of each gift is f, then the cost of the 2 gifts is 2f.... 1

Also if Daniel buys d gifts, the cost of each gift is p, then the cost of d gifts will be "pd ".... 2

If Georgia buys 2 more gifts than Daniel, then the amount of gift bought by daniel will be d+2. If the cost of each gift is z, the cost of (d+2) gifts will be z(d+2) .... 3

If Mr. Jones also decides to buy gifts for his children and the cost of each gift is f, then the total cost of the gift he bought for his children is yf where y is the number of gifts he bought for his children.

The total amount paid by Mr. Jones will be expressed by the summing all the derived function as shown;

2f+dp+z(d+2)+yf

= 2f+yf+ dp+z(d+2)

= 2f+2y+dp+z(d+2)

Hence the algebraic expression for how much money Mr Jones should pay at the gift shop till if he also decides to buy gifts for his children and the cost of each gift is f is expressed as 2f+2y+dp+z(d+2)

Answer:

I believe its J

Step-by-step explanation:

Answer: I don't understand your question

Step-by-step explanation:

my explanation is at the top

Answer:

Step-by-step explanation:

Given the following :

Number of shares purchased (2016) = 50

Purchase price of shares $396.33 per share

Closing price per share four years later = $778.38

A) What did Chadwick pay for all of the shares in 2016?

Purchase price per share × number of shares.

$396.33 × 50 = $19,816.50

B) What was the closing value of all of the shares four years later?

Closing price per share × number of ahaf

=$778.38 × 50

= $38,919

C.) Profit on stock :

$(38,919 - 19,816.50)

= $19,102.5

D) What is his rate of return on his shares when he sold them?

(Current Purchase - initial value) /current price

(778.3 - 396.33) / 396.33

= (381.97 / 396.33) 100%

= 0.9637675

=

Answer:

x^3+8

Step-by-step explanation:

used an online calculator lol

Answer:

the cars value decreased by $8400

Answer:

Step-by-step explanation:

a(b+c) = (ab)+(ac)

by property of distribution

a(b+c) = ab + ac

Answer:

The constant of proportionality is 2.5

Step-by-step explanation:

A direct proportion is of the form

y = kx where k is the constant of proportionality

y = 2.5x

The constant of proportionality is 2.5

Answer:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form  or  

where

k is the constant of proportionality

In this problem we have

so

the constant of proportionality k is equal to

therefore

the answer is

Step-by-step explanation:The constant of proportionality in the equation  is  

Further explanation:

The relation is defined as the relationship between the input values and output values.

The x coordinates are the domain of the function and the y coordinates are the range of the function.

Given:

The equation is  

Explanation:

The proportionality equation can be expressed as follows,

The value of  changes as  changes. If the value of  increases then the value of y is also increasing.

The equation can be expressed as follows,

The inversely proportional relationship can be expressed as,

Here,  is the proportionality constant.

The given equation is  

The y is the independent variable and  is the dependent variable.

The proportionality constant is 2.5.

The constant of proportionality in the equation  is  

No

Check

-4 = -2(1)

L.H.S

= -2(1)

= -2

is not = R.H.S.

Answer:

no it can’t be the solution

Step-by-step explanation:

y=–2x

–4=–2(1)

–4=–2 (error)

Answer:

Step-by-step explanation:

9.4300 × 10^-1

U and V are mutually exclusive events. P(U) = 0.26; P(V) = 0.37. So,

a. P(U AND V) = 0

b. P(U|V) = 0

c. P(U OR V) = P(U) + P(V)

U and V cannot happen at the same time since they are mutually exclusive events. Therefore, the probability of their intersection, P(U AND V), is equal to 0.

Comparably, the conditional probability P(U|V) denotes the likelihood that event U will take place in the event that event V has already happened. U, however, is not possible if V has already happened because U and V are mutually exclusive. Consequently, P(U|V) likewise equals 0.

To find the probability of the union of U and V, P(U OR V), we add the individual probabilities of U and V because they are mutually exclusive. Therefore, P(U OR V) = P(U) + P(V) = 0.26 + 0.37 = 0.63.

For more such answers on Probability

https://brainly.com/question/251701

#SPJ8

Answer:

52.1 is the percentage of employees that are men

Step-by-step explanation:

Answer:

Median

Step-by-step explanation:

Because it divides line B into a prefect section

Answer:

I'm afraid that you cannot simplify this anymore.

Step-by-step explanation: