Answer:
The function is y = 40 * 2^(x/2)
The graph is in the image attached
Step-by-step explanation:
The function that models this growth is an exponencial function, that can be described with the following equation:
y = a * b^(x/n)
Where a is the inicial value, b is the rate of growth, x is the time and n is the relation between the time and the rate (the rate occurs for every two hours, so n = 2).
Then, using a = 40, r = 2 and n = 2, we have:
y = 40 * 2^(x/2)
If we plot this function, we have the graph shown in the image attached,
It is an exponencial graph, where the value of y increases very fast in relation to the increase of x.
Answer:
Nancy fits the equation.
Step-by-step explanation:
I think they're asking which gorilla fits the equation.
2b - 15 = 605
<em>Add 15 to both sides</em>
2b=620
<em>Divide both sides by 2</em>
b=310
The only gorilla who weighs 310 pounds is Nancy.
The formula is
a^3 - b^2 = (a - b)(a^2 + ab + b^2) so plugging in the given values:-
a = cube root of 125 = 5 and b = cube root of 27 = 3 , we get:-
125 - 27 = (5 - 3)(5^2 + 5*3 + 3^2)
= 2 * 49
= 98 answer
Loretta:
Average driving speed = 55 mph
Time = 4 hours
Distance traveled = 55*4 = 220 miles
Dad:
Average driving speed = 65 mph
Let x = hours driven
Distance traveled = 65x miles
The length of the trip is 610 miles, therefore
65x + 220 = 610
65x = 390
x = 6 hours
Answer: Loretta's dad drove for 6 hours.
Answer:
3 ≤ y
Step-by-step explanation:
-4(y-6) ≤ (-9+y)(-2)
Distribute
-4y +24 ≤ 18 -2y
Add 4y to each side
-4y+4y +24 ≤ 18 -2y+4y
24≤ 18 +2y
Subtract 18 from each side
24-18≤ 18-18 +2y
6 ≤ 2y
Divide by 2
6/2≤ 2y/2
3 ≤ y