Answer:
<h2>: 7-⁴</h2>
Step-by-step explanation:
<h3>Exponential Form :</h3><h3>(a^m*a^n ) = (a^m+n )</h3>
<h3>7^-6 = 7^-2 * x </h3>
<h3>(only 7^-4 the term that can add to 7^-2 gives </h3><h3>= 7^-6 )</h3>
<h3>7^-6 = 7^-2 + 7^-4 </h3>
<h3> ( a^m*a^n) = ( a^m+n)</h3>
Represent 'a number' by x
7 times x equals 9 more than 4 times x
7 times x=9+4 times x
7x=9+4x
subtract 4x from both sides
3x=9
divide 3
x=3
the number is 3
<span><span>1.
</span>So the current population of the town is 15 200
and is growing per year with 2%.
Find the population number after 10 years.
First, let’s find the value of 2% in
decimal form
=> 2/100
=> 0.02
Now, let’s try to solve
Population = 15 200 ( 1 + (0.02 x 10) )
Population = 15 200 ( 1 + 0.2 )
Population = 15 200 + 3040
Population = 18 240
Thus, in 10 years, the town’s population will increase to 18 240.
</span>
Because the vertex of the parabola is at (16,0), its equation is of the formy = a(x-10)² + 15
The graph goes through (0,0), thereforea(0 - 10)² + 15 = 0100a = -15a = -0.15
The equation is y = f(x) = -0.15(x - 10)² + 15
The graph is shown below.
Part A
Note that y = f(x).
The x-intercepts identify values where the function or y=0. The x-intercepts occur at x=0 and x=20, or at (0,0) and (20,0).
The maximum value of y occurs at the vertex (10, 15) because the curve is down due to the negative leading coefficient of -0.15.
The curve increases in the interval x = (-∞, 10) and it decreases in the interval x = (10, ∞).
Part B
When x=12, y = -0.15(12 - 10)² + 15 = 14.4When x=15, y = -0.15(15 - 10)² + 15 = 11.25
The average rate of change between x =12 to x = 15 is(11.25 - 14.4)/(15 - 12) = -1.05
This rate of change represents the slope of the secant line from A to B. It approximates the rate at which f(x) decreases in the interval x =[12, 15].
So in conclusion, 52 pizzas made costs $52 from 52*1=52. The total cost he makes adds up to $75 which is $75+$52=$127.
