The sum of two consecutive mile markers on the interstate is 561. Find the numbers on the markers.

Response:

.

Step-by-step explanation:

It is established that the surface area S of a single-celled organism can be calculated by multiplying 4π by the square of the cell's radius r.  

We need to portray S as a function of r.

Let r represent the radius of the cell and S(r) denote the surface area of the single-celled organism corresponding to radius r.

Based on the question,

Therefore, the required function is .

The y-intercept is the location where any graph meets the y-axis.

Conversely, the x-intercept is where a graph intersects the x-axis.

This indicates that the coordinates at the intercept will always have the x-value as 0. Therefore, points of the format (0, y) represent y-intercepts, while points in the format (x, 0) indicate x-intercepts.

The provided points are:

(0,-6): y-intercept

(-2,0): x-intercept

(-6,0): x-intercept

(0,-2): y-intercept

Answer:

D.

Step-by-step explanation:

This function is piece-wise, meaning you will have two equations along with distinct domains. The equation x squared plus 3 illustrates a parabolic curve, while x plus 4 is depicted as a linear function. There is a specific reason why the point on the parabola is open at x equals 4; this signifies that the value does not satisfy the equation. Therefore, x cannot equal 4 for the parabola, so its domain is x less than 4. The closed point on the linear function indicates that when x is 4, it is part of the solution for that equation and graph. Consequently, the domain for the linear function is x greater than or equal to 4. Hope this clarifies things!

Answer:

They anticipate the following ratio:

x/20 = 160/8, where x represents the population

Next

x = 20×160/8 = 400

Jada intends to provide milk and nutritious cookies at a gathering for her book club. She has planned to offer 12 ounces of milk and 4 cookies for each participant. With her included, the total number of club members is 15. Each package of cookies has 24 cookies and is priced at $4.50. A gallon of milk has 128 ounces and costs $3. Let n denote the club members, m for the ounces of milk, c for the cookies, and b for Jada's budget in dollars. Identify all equations that could represent the relevant quantities and constraints in this scenario.

â m = 12(15)

n refers to the club members

b. 3m + 4.5c = 6

c. 4n =

m stands for ounces of milk

& 44.50) = C

c indicates the cookies

e b=2(3) + 3(4.50)

b denotes Jada's budget in

currency

The equations applicable for representing the quantities and constraints in this scenario are:

a) m = 12(15)

c)4n = c

e) b = 2(3) + 3(4.50)

Detailed explanation:

Jada is set to provide milk and nutritious cookies for her book club meeting

She plans to prepare 12 ounces of milk and 4 cookies for each individual

She has 15 members in total

A pack of cookies contains 24 cookies and costs $4.50

A gallon of milk has 128 ounces and costs $3

Designate the total members by n

Ounces of milk = m

The number of cookies = c

Jada's budget in dollars = d

y = 12(15)

Each individual will receive 4 cookies

4n = c

As one pack contains 24 cookies

She requires = 15 × 4 = 60 cookies

60 ÷ 24 = 2.5

Thus, she would need to purchase 3 packs of cookies

She needs = 15 × 12 = 180 ounces of milk

A gallon of milk contains 128 ounces

180 ÷ 128 = 1.406

She will need to acquire 2 gallons of milk

It's noted: from the prompt

Each gallon of milk costs $3

Each package of cookies costs $4.50

b serves as Jada's dollar budget

b = 2(3) + 3(4.50)

Options a, c and e are valid