Answer:
<h2>
x = -16</h2>
Step-by-step explanation:
x + 7 = -9
Subtract 7 from both sides
x + 7 - 7 = -9 - 7
Simplify
x = -16
Answer:
Linear function that models the volume of hydrogen in the balloon after t seconds is V(t) = 5 + 0.1t
Step-by-step explanation:
Initial volume of hydrogen in the balloon = 5 ft³
Rate at which hydrogen is filling in the balloon = 0.1 ft³/s
Volume after 1 second = 5 + 0.1 x 1
Volume after 2 seconds = 5 + 0.1 x 2
Volume after 3 seconds = 5 + 0.1 x 3
Volume after 4 seconds = 5 + 0.1 x 4
Volume after 5 seconds = 5 + 0.1 x 5
Similarly
Volume after t seconds, V(t) = 5 + 0.1 x t = 5 + 0.1t
Linear function that models the volume of hydrogen in the balloon after t seconds is V(t) = 5 + 0.1t
Answer:
We'll use the traditional "slope" formula, evaluating

To find f(5), plug in x = 5 to f(x).
3(5)^3 + 2 = 377
Same thing for f(3)
3(3)^3 + 2 = 83
So

Answer:
0
Step-by-step explanation:
This equation is in "vertex form," meaning that you can identify the vertex and other features of the graph from the equation.
y = a(x -h)² +k . . . . . the vertex is (h, k); the vertical scale factor is "a"
Comparing to your equation, you see ...
a = -1/2, h = 3, k = -1
The vertex is (h, k) = (3, -1). The vertical scale factor is negative.
__
This tells you the graph opens downward (the scale factor is negative), and the vertex (maximum point) is below the x-axis. (It has a negative y-coordinate.)
Because it start below the x-axis and goes down from there, the graph does not intersect the x-axis. There are zero (0) x-intercepts.
Answer:
(1,4)
Step-by-step explanation: