Answer:
C. Both f(x) and its inverse function intersect at point (2, 2).
Step-by-step explanation:
First of all, let's begin defining f(x) = y.
Since the linear function f(x) intersects at
• 6 on the y-axis; and
• 3 on the x-axis;
we can deduce the following equation:
6x + 3y = 6(3)
6x + 3y = 18
3y = -6x + 18
y = -6x/3 + 18/3
y = -2x + 6
f(x) = -2x + 6
Then, we'd want to find the inverse of f(x), which is f`¹(x).
f(x) = -2x + 6
y = -2x + 6
Interchange the variable y to x and vice versa.
x = -2y + 6
2y = -x + 6
y = (-1/2)x + 3
f`¹(x) = (-1/2)x + 3
Since both f(x) and its inverse function are equal to y, set them both as equal.
f(x) = f`¹(x)
-2x + 6 = (-1/2)x + 3
-2x + (1/2)x = 3 - 6
(-3/2)x = -3
x = 2
Substitute x = 2 into y = -2x + 6.
y = -2(2) + 6
y = -4 + 6
y = 2
Now that we know x = 2 and y = 2, then the intersection point of (x, y) must be (2, 2).
I hope this helps! Sorry if my English didn't really help with giving a clearer explanation.
The answer is the slope is -3/2!
A + 4 = 8
a = 4
Can you add anything else to 4 to get 8? No.
4 - m = 2
-m = -2
m = 2
Can you subtract anything besides 2 from 4 to get 2? No.
So the statements are always true.
Answer:
Hence the pricing for each product will be taronges with 2 euros and mandarins with 2.5 euros.
Step-by-step explanation:
Given:
2 kg of taronges and 3 kg mandarins cost 11.5 euros
3kg taronges and 2 kg mandarins cost 11 euros
To Find:
Price for each product
Solution:
<em>Consider </em>
<em>Taronges =x euros</em>
<em>Mandarins=y euros</em>
So by given condition,
....................equation(1)
and 
...........equation (2)
So , using substitution method,
.......equation (3)
Using above value in equation(1) we get ,
)
y=2.5 euros
Using above value in equation(3) we get ,
x=2 euros
Answer:
No maximum
Step-by-step explanation:
Given
Solving (a): The minimum
The minimum is when the absolute parameter gives 0
i.e.
Divide both sides by 0.9
Open bracket
Remove absolute sign
Collect like terms
Then the y value is:
Recall that:
So, we have:
Hence, the minimum is at: 
Since the minimum is at , then the graph will open upwards.
Hence. the function has no maximum; i.e.
