Answer:
Given the ordered pairs, the exponential growth function would be represented by f(x)=35(1.6)^x.
Step-by-step explanation:
Exponential growth functions are represented by the following equation: f(x)=ab^x, where 'a'=initial value; 'b'=rate of growth; 'x'=independent value or time. Given the points, we see that the values of 'x' increase by 1 each time and dividing two 'y' values (35/21.875; 56/35; 89.6/56) gives us a change of 1.6. Rate is the change in y/the change in x, or 1.5/1, which is the value of 'b'. When 'x' is equal to 0, the value of 'y' is 35, so this represents the initial value, or 'a'. Plugging in these values will give us the final equation f(x)=35(1.6)^x.
Answer:
500π ≈ 1570.796
Step-by-step explanation:
diameter = 10
radius = diameter / 2 = 10 / 2 = 5
height = 4 * radius = 4 * 5 = 20
volume = π * height * (radius)² = π * 20 * (5)² = 500π ≈ 1570.796
Answer:
I think the answer is 16 (B)
Step-by-step explanation:
Please mark brainlest
Answer:
For 
, x = 2, or x = - 2.
Step-by-step explanation:
Here, the given expression is :
Now, using the ALGEBRAIC IDENTITY:
Comparing this with the above expression, we get
⇒Either (x-2) = 0 , or ( x + 2) = 0
So, if ( x- 2) = 0 ⇒ x = 2
and if ( x + 2) = 0 ⇒ x = -2
Hence, for , x = 2, or x = - 2.
Answer:
Step-by-step explanation:
Your y= -x2 -10x +1 should be written as y = -x^2 -10x +1. This is a quadratic function. Because the coefficient (-1) of the x^2 term is negative, we know immediately that the graph (a parabola) opens down, and thus has a maximum.
