Answer:
The correct option is;
D. F(x) = x⁴ - x² + 2
Step-by-step explanation:
From the graph, we have;
The y-intercept = 2, therefore, when x = 0, y = 2
The graph has no x-intercept, therefore, the unction has complex roots
The possible function is F(x) = x⁴ + x² + 2 and F(x) = 2 - x⁴ - x²
The roots of the function, F(x) = x⁴ - x² + 2, is given as follows;
0 = x⁴ - x² + 2
x = (1 ± √(1 - 8))/(2) = (1 ± √(-7))/(2) which are imaginary roots
For F(x) = 2 - x⁴ - x², we have;
0 = 2 - x⁴ - x²
x = (1 ± √(1 + 8))/(2) = (1 ± 3)/(2)
x = 2 or x = -1, therefore, the function, F(x) = 2 - x⁴ - x², has real roots and the only possible solution is F(x) = x⁴ + x² + 2
Let x = Class A
Let y = Class B
Let z = Class C
Equations from problem:
x - 160 = y
2/3x = z
y + 92 = z
Solving through substitution:
2/3x = y + 92
2/3x = (x - 160) + 92
2/3x = x - 68
-1/3x = -68
3(-1/3x) = 3(-68)
-x = -204
x = 204
Now substitute x in the first equation to get y:
204 - 160 = y
44 = y
44 = Class B
There are 44 folded paper cranes in Class B.
3. Right
5. Isosceles
Isosceles triangles have 2 sides measuring the same length and a right triangle contains a 90 degree angle
Answer:
x< 10
Step-by-step explanation:
To start the absolute difference between 20 and 5 is 15. Next, write out an equation for the problem:
x * 1.5 < 15,
Then divide by 1.5 on both sides...
Boom! x < 10.
a function that model the number of people that receives email in week t is 
.
<u>Step-by-step explanation:</u>
Here we have , Tobias sent a chain letter to his friends . The number of people who receives the email increases by a factor of 4 in every 9.1 weeks , and can be modeled by a function P, which depends on the amount of time t weeks . Tobias initially sent letter to 37 friends . We need to write a function that model the number of people that receives email in week t . Let's find out:
Basically it's an exponential function as
, In question initial value is 37 & and for every 9.1 weeks there is increase in people by a factor of 4 i.e.
⇒ 
But , wait ! People increase in every 9.1 weeks not every week so modified equation will be :
⇒
Therefore , a function that model the number of people that receives email in week t is .
