Answer:
Step-by-step explanation:
d = 3/2
a₂₀ = a₁+19d
35/2 = a₁ + 19×3/2
a₁ = 35/2 - 19×3/2 = -11
a₁₅ = a₁+14d = -11 + 14×3/2 = 10
Answer:
The co-ordinates of the vertex of the function y-9= -6(x-1)^2 is (1, 9)
<u>Solution:</u>
Given, equation is 
We have to find the vertex of the given equation.
When we observe the equation, it is a parabolic equation,
We know that, general form of a parabolic equation is
Where, h and k are x, y co ordinates of the vertex of the parabola.

By comparing the above equation with general form of the parabola, we can conclude that,
a = -6, h = 1 and k = 9
Hence, the vertex of the parabola is (1, 9).
Take the natural log of both sides
ln(2^x)=ln(.125)
Xln(2)=ln(.125)
X=ln(.125)/ln(2)
X=-3
ALTERNATIVE ROUTE:
You know that 0.125 is equal to 1/8
And 1/2^3 is also equal to 1/8
So since you need the reciprocal to match it the exponent is a negative
Answer: 
Step-by-step explanation:
Given: The rent of waterslide per day = $500
Let x be the a charge per hour of use.
The number of hours bounce house was used = 5 hours
Since, the total charge was $800.
Therefore, the equation can be used to find the charge x, in dollars, per hour of use is given by :-
Fixed charge+5 times x=Total charge
