Answer: 5.3571
Step-by-step explanation:
The formula used to calculate direct proportion is: y = kx
We will find the constant of proportionality when y=10 and x=5.6. This will be:
y = kx
10 = 5.6k
k = 10/5.6
k = 1.7857143
The value of y when X=3 will be:
y = kx
y = 1.7857143 × 3
y = 5.3571
Answer:
<u>Given function:</u>
- f(x) = (-x + 2)(x + 1)(x +2)
<u>We can rewrite it as:</u>
- f(x) = - (x - 2)(x + 1)(x +2)
<u>Zeros are:</u>
- - (x - 2)(x + 1)(x +2) = 0
- x - 2 = 0 ⇒ x = 2
- x + 1 = 0 ⇒ x = -1
- x + 2 = 0 ⇒ x = -2
As leading coefficient is negative the function is decreasing.
As the function is of degree 3, it is odd.
<u>Considering the above two factors we can define the shape of the graph:</u>
- It is decreasing function with one local minimum and one local maximum.
<em>See the graph and zero's reflected.</em>
These angles are corresponding angles, and we know that corresponding angles are equal when a transversal intersects two parallel lines.
So,
8x - 12 = 6x + 8
=> 8x - 6x = 8 + 12
=> 2x = 20
=> x = 20/2
=> x = 10
So, the value of x is 10.