Answer:
We were given the equation of a rainbow, which follows a parabolic path, which is
By comparing to the vertex form,
We have the vertex at (h,k)=(1,6)
Since a=-0.1<0, the parabola opens down.
At y-intercept, x=0.
Step-by-step explanation:
Answer:
x = 12 is the excluded value
Step-by-step explanation:
An excluded value is the value/s of x that make the denominator of the rational function equal to zero as this would make the function undefined.
Equate the denominator to zero and solve for x
6x - 72 = 0 ⇒ 6x = 72 ⇒ x = 12 ← excluded value
Answer:
$50
Step-by-step explanation:
Create a proportion where x is the cost of 8 books:
=
Cross multiply and solve for x:
3x = 150
x = 50
So, 8 books would cost $50
Answer:
A = 5x² + 6x + 1
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = h (a + b)
where h is the height and a, b the parallel bases, thus
A = (x + 1)(6x - 5 + 4x + 7)
= (10x + 2)(x + 1)
= (5x + 1)(x + 1) ← distribute using FOIL
= 5x² + 6x + 1