X is equal to 26 —————————-
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
Given:
The equation is,

Explanation:
Simplify the equation by using logarthimic property.

Simplify further.

Solve the quadratic equation for x.

From the above equation (x - 6) = 0 or (x - 3) = 0.
For (x - 6) = 0,

For (x - 3) = 0,

The values of x from solving the equations are x = 3 and x = 6.
Substitute the values of x in the equation to check answers are valid or not.
For x = 3,

Equation satisfy for x = 3. So x = 3 is valid value of x.
For x = 6,

Equation satifies for x = 6.
Thus values of x for equation are x = 3 and x = 6.
Given:
Circular racetrack with a diameter of 1/2 mile
Find: how far does a car travel in one lap around the track?
We need to find the circumference of the racetrack.
Circumference is multiplying pi to the diameter of the racetrack.
Circumference = 3.14 * 1/2 mile
Circumference = 3.14/2 mile
Circumference = 1.57 miles rounded to the nearest tenth is 1.60 miles.
10 because you know that the decimal moves one to the left if you are dividing by ten and one to the right if you are multiplying by ten.
Check your work. 0.32 divided by 10 is 0.032