(BRAINLIEST) HELP ASAP!!

Pls help asap!!!! tysm guys!!

Delvig [45]

Answer:

C. 256 in2

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

For all three water parks the cost of a function of numbers of right compare the functions for all three water parks in terms of

Aleks [24]

Answer:

See Explanation

Step-by-step explanation:

Given

See attachment for complete question

First, we determine the cost function for all the three rides.

Ride A

From the graph, we have the following points

$(x_1,y_1) = (0,8)$

$(x_2,y_2) = (2,12)$

Calculate slope

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{12-8}{2-0}$

$m = \frac{4}{2}$

$m =2$ --- This represents the rate per ride

The equation is the calculated as:

$y = m(x - x_1) + y_1$

So, we have:

$y = 2(x - 0) + 8$

$y = 2(x) + 8$

$y = 2x + 8$

So, the cost function is:

$C(x) =2x + 8$

Calculate the cost of admission i.e. x=0

$C(0) = 2*0+8 = 8$

So, we have:

$C(0) = 8$ --- Admission Charge

$C(x) =2x + 8$ --- Cost function

$m =2$ --- Rate per ride

Ride B

From the table, we have the following points

$(x_1,y_1) = (0,12)$

$(x_2,y_2) = (4,15)$

Calculate slope

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{15-12}{4-0}$

$m = \frac{3}{4}$

$m = 0.75$ --- This represents the rate per ride

The equation is the calculated as:

$y = m(x - x_1) + y_1$

So, we have:

$y = 0.75(x - 0) + 12$

$y = 0.75(x) + 12$

$y = 0.75x + 12$

So, the cost function is:

$C(x) = 0.75x + 12$

Calculate the cost of admission i.e. x=0

$C(0) = 0.75*0 + 12=12$

So, we have:

$C(0) =12$ --- Admission Charge

$C(x) = 0.75x + 12$ --- Cost function

$m = 0.75$ --- Rate per ride

Ride C

No additional fee;

So, the cost function is;

$C(x) = 30$

In summary, we have:

Ride A

$C(x) =2x + 8$ --- Cost function

$m =2$ --- Rate per ride

Ride B

$C(x) = 0.75x + 12$ --- Cost function

$m = 0.75$ --- Rate per ride

Ride C

$C(x) = 30$ --- Cost function

By comparison

Ride A has the highest rate per ride of (#2), followed by ride B with a rate of #0.75 per ride.

Ride C has no charges per ride

The impact on the total cost is that:

Ride A: People that opt for ride A will pay the least to get admitted (i.e #8) but they pay the most (i.e. #2) per each ride they take

Ride B: People that opt for ride B will pay #12 to get admitted, but they pay 0.75 per each ride they take

For A and B, the overall cost depends on the number of rides taken.

Ride C: Irrespective of the number of rides taken, people that opt for ride C will pay the same flat fee of #30

4 0

3 years ago

One number is 6 more than anouther number. the sum of their squares is 90

Flura [38]

Let x = greater number
      y = smaller number

(1) $x = y + 6
$
(1) $y = x-6$

(2) $x^{2} + y^{2} = 90$
We'll substitute y in (1) to (2)
(2) $x^{2} + (x-6)^{2} = 90$
   $x^{2} + (x^{2} - 12x + 36) = 90$
   $x^2 + x^2 -12x + 36 - 90 = 0$
   $2x^2 - 12x -54 = 0
$
   $2(x^2 - 6x - 27) = 0$
   $2(x - 9)(x + 3) = 0$
x - 9 = 0 or x + 3 = 0
      x = 9 x = -3
and
y = x - 6 y = x - 6
y = 9 - 6 y = -3 - 6
y = 3 y = -9

Therefore, the two numbers can be 9 and 3 or -3 and -9.

6 0

4 years ago

A bike can travel 120 miles on 3 liters of gas. how many liters of gas are required to travel 420 miles

Aliun [14]

10.5 liters

420÷120 = 3.5
3.5×3=10.5

6 0

3 years ago

The measure of an angle is 61°. What is the measure of its supplementary angle?

MrMuchimi

Answer:

119°

Step-by-step explanation:

if sum of two angles=180,then they are supplementary.

61+x=180

x=180-61=119

5 0

3 years ago