Step-by-step explanation:
![g(0.5) = 2 \\ \\ h(x) = g(x).f(x) \\ \therefore \: h(2) = g(2).f(2) \\ \therefore \: h(2) = 5 \times 2\\ \therefore \: h(2) = 10\\ \\ \\ j(x) = g(x) - f(x) \\ \therefore \: j(4) = g(4) - f(4) \\ \therefore \: j(4) = 9 - 8\\ \therefore \: j(4) = 1\\ \\ \\](https://tex.z-dn.net/?f=g%280.5%29%20%3D%202%20%5C%5C%20%20%5C%5C%20h%28x%29%20%3D%20g%28x%29.f%28x%29%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20h%282%29%20%3D%20g%282%29.f%282%29%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20h%282%29%20%3D%205%20%5Ctimes%202%5C%5C%20%5Ctherefore%20%5C%3A%20h%282%29%20%3D%2010%5C%5C%20%20%5C%5C%20%5C%5C%20%20j%28x%29%20%3D%20g%28x%29%20-%20f%28x%29%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20j%284%29%20%3D%20g%284%29%20-%20f%284%29%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20j%284%29%20%3D%209%20-%208%5C%5C%20%5Ctherefore%20%5C%3A%20j%284%29%20%20%3D%201%5C%5C%20%20%5C%5C%20%20%5C%5C)
If you have zero dollars you can’t buy anything
Answer:
18550 - 10x
Step-by-step explanation:
Given that :
Cost of admission in Advance = $25
Cost of admission at the door = $35
Number of people who paid in advance = x
Total number of tickets sold = 530
Total amount made from ticket sales will be :
(Number who paid in advance * cost) + (number who paid at the door * cost)
(25 * x) + (530 - x) * 35
25x + 18550 - 35x
18550 - 10x
Answer:
B. 1.4 feet
Step-by-step explanation:
Let, the amount of increase be 'x' ft.
Since, the length and width of the canvas are 4 ft and 3 ft respectively.
Thus, area of the canvas,
= length × breadth = 4 × 3 = 12 ft²
Since, the area of display model is twice the area of the canvas. We have,
= 2 × ![A_{c}](https://tex.z-dn.net/?f=A_%7Bc%7D)
i.e.
= 2 × 12
i.e.
= 24 ft².
As, the length and width of the canvas are increased by 'x'.
The, length and width of the display model are (x+4) ft and (x+3) ft.
So, we get,
= length × breadth = (x+4) × (x+3) = ![x^{2} +7x+12](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B7x%2B12)
Since,
= 24 ft²
i.e.
= 24
i.e. ![x^{2} +7x-12=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B7x-12%3D0)
Solving the quadratic equation, we get,
i.e. x = -8.4 and x= 1.4
Since, the value of x cannot be negative.
Thus, x = 1.4 feet.
Answer:
D
Step-by-step explanation:
First of, let's make a table for y = cos(x)
(x , y): (0 , 1) (π/2 , 0) (π , -1) (3π/2 , 0) (2π , 1)
Now, making a table for y = 2cos(x) is simple. We just have to multiply all the y-values from the previous table by 2.
(x , y): (0 , 2) (π/2 , 0) (π , -2) (3π/2 , 0) (2π , 2)
Graphing these coordinates, we find that the answer is D.