we know that
The vertex of the function 
is the point 
The vertex of the function 
is the point 
The x-coordinate of the vertex is equal to h
the y-coordinate of the vertex is equal to k
so
the value of h is 
the value of k is 
the equation is
therefore
<u>the answer is the option a</u>
Answer:
c.) aₙ = 5 × 4ⁿ⁻¹
Explanation:
Geometric sequence: aₙ = a(r)ⁿ⁻¹
where 'a' resembles first term of a sequence, 'r' is the common difference.
Here sequence: 5, 20, 80, 320,...
First term (a) = 5
Common difference (d) = second term ÷ first term = 20 ÷ 5 = 4
Hence putting into equation: aₙ = 5(4)ⁿ⁻¹
Its $800 because to find interest u can use the formula I=PRT p is principal which is 500 times r which is rate-15/100(=15%) times 4
so the interest is 500×15/100×4=300
then u add 300 to 500 because the interest adds more money to the loan
Answer:
25 miles, and the cost will be $37.50.
Step-by-step explanation:
Mose's charge can be represented by f(x) = 0.5x + 25, Holly's charge can be represented by g(x) = 0.3x + 30.
Set the equations equal to each other: 0.5x + 25 = 0.3x + 30.
0.2x = 5
x = 25
Substitute 25 for x: f(x) = 0.5(25) + 25 = 37.5, g(x) = 0.3(25) + 30 = 37.5.
So f(x) = g(x) at x = 25, and the output will be 37.5.
