A family are going away for the weekend. They look at a road map to see where their hotel is. The scale used is 1 : 250,000 The

For the first film he may pick any of 6 options; once that choice is made, 5 remain for the second, then 4 for the third, and so forth.

Hence the total is 6! = 6*5*4*3*2 = 720 possible orders

Solution:

Reflect the parent function across the x-axis and then shift it 8 units left.

Step-by-step clarification:

The function in question is

The parent function can be described as

Due to the negative multiplier applied to the transformed function, a reflection occurs along the x-axis.

As the value 8 is added within the square root, it indicates a horizontal shift of 8 units left.

Therefore, to accurately graph the given function, reflect the parent function over the x-axis and translate it to the left by 8 units.

Answer:

1. x=±4

2. t=±9

3. r=±10

4. x=±12

5. s=±5

Step-by-step explanation:

1. x^2 = 16

By extracting the square root on both sides

x=±4

2. t^2=81

Again, take the square root of each side

t=±9

3. r^2-100=0

r=±10

4. x²-144=0

We rewrite as x²=144

Applying square roots

x=±12

5. 2s²=50

s=±5 ..

Answer: y²z⁴ / x¹²

• The exponent for x is 12

• The exponent for y is 2

• The exponent for z is 4

Explanation:

1) The expression to simplify:

2) Rule: power of a power:

3) Rule: product of powers with identical bases

4) Add up the exponents

5) Transfer the negative exponent to the denominator:

The exponent attached to x is 12, for y it is 2, and for z it is 4.

Conclusion:

Please refer to the explanation provided.

Detailed explanation:

Starting with these facts:

Total revenue = $250

Fee charged = $70 per car

Tips received = $50

Equation 1 representing the above:

(Fee per car × number of cars) + tips = total revenue

Let the number of cars be c.

Thus, we have:

$70c + $50 = $250

Part B:

Total revenue = $250

Fee charged = $75 per car

Tips received = $35

Supplies cost per car washed = $5

Equation 2:

(Fee per car × number of cars) + tips - (supplies cost × number of cars) = total revenue

$75c + $35 - $5c = $250

$70c + $35 = $250

Part C:

Equation 1 does not factor in costs associated with washing the car, while equation 2 does incorporate costs, which are deducted from the amount charged per car. Additionally, tips in equation 1 total $50 compared to a $35 fee in equation 2.