All of the following are benefits (the "pro's") of having a credit card, EXCEPT which one?

Buying one movie ticket online costs $16.50. Two tickets cost $30.50. Assuming that the relationship is linear, use the drop dow

HACTEHA [7]

Answer:

$C(n)=14n+2.50$

Step-by-step explanation:

Let

n -----> number of tickets

C ----> represent the cost of buy n tickets online

we have the ordered pairs

(1,16.50) and (2,30.50)

Find out the slope of the linear equation

The formula to calculate the slope between two points is equal to

$m=\frac{C2-C1}{n2-n1}$

substitute the values

$m=\frac{30.50-16.50}{2-1}$

$m=14$

Find the equation of the line in slope intercept form

$C=m(n)+b$

we have

$m=14$

$point(1,16.50)$

substitute

$16.50=14(1)+b$

$b=16.50-14$

$1b=2.50$

substitute

$C(n)=14n+2.50$

The domain of the function is all positive integers (whole numbers) including zero

{0,1,2,3,4,...}

5 0

3 years ago

What is the area of the rectangle?

Molodets [167]

Answer:

D

Step-by-step explanation:

Please look at the attached picture for full solution.

Method 1 is using the shoelace method to find the area of the rectangle. Shoelace method can be used to find the areas of any polygons given their coordinates. The coordinates have to be taken in an anticlockwise order and ending with the first coordinate.

Method 2 is making use of the distance formula of two points. The formula is as shown below:

$\sqrt{(x1 - x2) ^{2} + (y1 - y2)^{2} }$

Having found the distance of the length and breadth of the rectangle, you can now find its area since area of rectangle= length × breadth.

4 0

3 years ago

Vedant runs around a square park of side 42m, three times. Rehan runs around a rectangular park of length 40m and breadth 18m, f

lana [24]

Answer:

Rehan;

76m

Step-by-step explanation:

Distance covered by running around square park :

Perimeter of square = 4s ; s = side length of square

Perimeter = 4 * 42m = 168 m

Total distance covered = 168m * 3 = 504m

Distance covered by running around rectangular park :

Perimeter of rectangle = 2(l + w) ;

Perimeter = 2(40 + 18) = 2(58) = 116 m

Total distance covered = 116m * 5= 580m

580m - 504m = 76m

Rehan covered more distance

4 0

3 years ago

What is the general equation of a sine function with an amplitude of 6, a period of StartFraction pi Over 4 EndFraction, and a h

Katen [24]

Answer:

C: $y = 6 \sin (8(x-\frac{\pi}{2} ))$

Step-by-step explanation:

Amplitude is changed by multiplying the entire trig function by a number, by default the amplitude is 1, so multiplying by 6 is necessary; eliminate A and B

Horizontal shift is going through the x axis, so it must be subtracted from the x value. This is only seen in choice C of the remaining answers.

Calculating the period isn't necessary because we already found the right answer but in case you need it in the future; the period is by default 2pi, to get to pi/4, it had to be 8 times smaller, so multiplying x and translations on x by 8 will get you the correct period.

3 0

3 years ago

Read 2 more answers

Express the decimal as a percent. 1.276 60 points.

Mnenie [13.5K]

To change a decimal to a percentage, all that we have to do is multiply the decimal by 100 (or move the decimal point to the right two places).

1.276 x 100 = 127.6

Percentage: 127.6%

Hope this helps!

6 0

2 years ago