Step-by-step explanation:
5ˣ⁻² = 6
Take log of both sides.
log 5ˣ⁻² = log 6
Use log exponent property.
(x − 2) log 5 = log 6
Solve for x.
x − 2 = log 6 / log 5
x = 2 + (log 6 / log 5)
x = 3.1133
In thirty days. The least common multiple of the two is 30 (5x6), and this would be the next day that you would have both.
His total money is: $80
He spent $16 for the entrance of the fair and food.
80-(4+12) = 64
subtracting $1.25 per ride = -1.25x
Therefore gives the function:
f(x) = -1.25x + 64
Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this firm use the method of completing the square
Factor out - 1 from each term
y = - (x² - 9x + 12)
To complete the square
add/subtract (half the coefficient of the x- term )² to x² - 9x
y = - (x² + 2( - 
)x + 
- + 12 )
= - ( (x - )² - )
y = - (x - )² + ← in vertex form
If he decides to save 10% he decided to save 38.75 since 387.50×.10 is 387500 (move decimal 4 times to figure out what the percentage of 387.50 is since the $ already has 2 numbers after the decimals and so does .10 which =38.75 this is what he saves so subtract this from 387.50 to find out what he has left to spend
387.50-38.75= 348.75
