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MAVERICK [17]
3 years ago
13

The bulbs on the bay holiday drive through attraction charges 12 dollars per car plus 1 dollar for every individual,(p), in the

car. which choice represents the total cost(c) per car
Mathematics
1 answer:
yaroslaw [1]3 years ago
7 0
This problem mentions 'CHOICE,' which means you need to share the several possible answers that came with this problem.

There is an upfront charge of $12 per car.  Next, each person in the car is charged $1.  Supposing that x people are in the car, then the total cost, C(x), is

C(x) = $12 + ($1)x.  This is a linear function whose domain could be, for example, [0,6], assuming that 6 people could fit into the car.
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Can someone help me with these questions and show work please and thank you
attashe74 [19]

Answer:

11. 78

12. 4x² - 3x - 1

Step-by-step explanation:

11. Sum of n whole numbers = ½(n² + n)

Multiply

½*n² + ½*n

= n²/2 + n/2

To find the sum of the first 12 whole number, substitute 12 for n into the equation.

= 12²/2 + 12/2

= 144/2 + 12/2

= 72 + 6

= 78

12. Area of trapezoid = ½(a + b)*h

Where,

a = 5x - 4

b = 3x + 2

h = x + 1

Area = ½(5x - 4 + 3x + 2)*(x + 1)

Area = ½(8x - 2)*(x + 1)

Area = ½[8x(x + 1) -2(x + 1)]

= ½[8x² + 8x - 2x - 2]

Add like terms

= ½(8x² - 6x - 2)

= ½(8x²) - ½(6x) - ½(2)

= 4x² - 3x - 1

6 0
3 years ago
Kasey has 8 packages of gelatin. She plans to fill molds that each take 1 1/3 packages of gelatin. Each mold can be divided into
Ipatiy [6.2K]

if in total Kasey has 8 packaged of gelatin and it takes 1 1/3 for each mold which equals 6 servings than you could work it out as

8 divided by 1 1/3=6.015 since its not a whole number than you'd want to go down to just 6 resulting in Kasey creating 6 molds

6 molds times 6 servings= 36 servings

6 0
3 years ago
(x-1)³ find derivative using definition​
kakasveta [241]

Step-by-step explanation:

definition of the derivative to differentiate functions. This tutorial is well understood if used with the difference quotient .

The derivative f ' of function f is defined ascthe above pic.

when this limit exists. Hence, to find the derivative from its definition, we need to find the limit of the difference quotient.

3 0
2 years ago
Read 2 more answers
A car on a racetrack drove 98 miles in 60 minutes. How far did it drive in 12 minutes? Round the the nearest tenth when necessar
Alborosie

Answer:

19.6 miles in 12 minutes.

Step-by-step explanation:

first take 60, then divide it by 12.

60÷12=5

then take 98 and divide that by 5

98÷5=19.6

3 0
3 years ago
Consider the function.
Licemer1 [7]

Answer:

Option 4

Step-by-step explanation:

Given function is,

f(x)=2\frac{1}{2}-3\frac{1}{3}x

Steps to get the inverse of the given function,

Step 1,

Convert the function into equation,

y=2\frac{1}{2}-3\frac{1}{3}x

Step 2,

Interchange the variables 'x' and 'y',

x=2\frac{1}{2}-3\frac{1}{3}y

Step 3,

Solve the equation for the value of y,

x-2\frac{1}{2}=-3\frac{1}{3}y

x-\frac{5}{2}=-\frac{10}{3}y

-x+\frac{5}{2}=\frac{10}{3}y

-3x+\frac{15}{2}=10y

-\frac{3}{10}x+\frac{15}{20}=y

y=-\frac{3}{10}x+\frac{3}{4}

Step 4,

Convert the equation into inverse function,

f^{-1}x=-\frac{3}{10}x+\frac{3}{4}

For x-intercepts,

Substitute y = 0,

0=-\frac{3}{10}x+\frac{3}{4}

\frac{3}{10}x=\frac{3}{4}

x=\frac{10}{4}

x=\frac{5}{2}

x=2\frac{1}{2}

Therefore, x-intercept of the inverse function is (2\frac{1}{2},0).

Option 4 will be the answer.

8 0
2 years ago
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