Answer:
The initial value of the function is <u>2</u>
The base of the function is <u>3</u>
The function shows exponential <u>growth</u>
Step-by-step explanation:
f(x) = 2(3^x)
Exponential functions are those with the following equation:
y = a*b^x
where a ≠ 0, b > 0 and b ≠ 1 and x is a real number.
<em>a</em> is the y-intercept and <em>b </em>is the base.
The initial value of the function is the same as the y-intercept
If <em>a</em> is positive, the function growth. If <em>a</em> is negative, the function decay
Answer:
$15
Step-by-step explanation:
Given that :
Aunt's distance = 120 miles
Miles per gallon of Olivia's car = 24 miles per gallon
Cost of gasoline = 3 per gallon
Cost of gasoline for the trip :
(Aunt's distance / miles per gallon) * cost of gasoline per gallon
(120 miles / 24 miles per gallon) * 3
5 * 3 = $15
Cost of gasoline for the trip = $15
Answer:
64π m³
Step-by-step explanation:
The general formula for the volume of a cylinder:
V = πr²h, where 'r' is the radius and 'h' is the height
In the given problem, the radius is equal to 4 m and the height is equal to 4 m. Plugging these values into the equation:
V = π4²(4) = π16*4 = 64π m³
Answer:
C
Step-by-step explanation:
The circumference (C) of a circle = 2πr ← r is the radius
Given C = 15π the equating gives
2πr = 15π ( divide both sides by 2π )
r =
= 7.5 cm
The area (A) of a circle is calculated using the formula
A = πr² = π × 7.5² = 56.25π cm² → C
You can identify points on a graph by looking at them. The x coordinate is the horizontal line. and the vertical line is the y axis