Solve 5x-3/2 + x+7/3=15
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A population of insects grows exponentially, as shown in the table. Suppose the increase in population continues at the same rate.
from the given table
when x=0 , y=20
when x= 1 , y = 30
We use this information to find exponential growth equation
General form of exponential growth is
WE plug in the given values and find out value of a and b
when x=0 , y=20
20 = a
Now we find out b
when x= 1 , y = 30
divide both sides by 20
So exponential function becomes
Now we find the insect population at the end of week 11
We plug in 11 for x
Round the answer to nearest whole number
1730 is the insect population at the end of week 11
Answer:
Dimensions of rectangle:
Length =6 yards
Width=3 1/3 yards
Area of right triangle = 10 yd^2
Step-by-step explanation:
The right triangle has base as 6 yards and height as 3 1/3 of yards.
When we match this triangle with another right triangle to make the rectangle is another right triangle with sides 6 yards and 3 1/3 yards.
I'll upload the file for work.
The table when completed looks like this:
x -2 -1 0 1 2
f(x) 4 2 1 2 4.
We plot these points on the graph: (-2, 4), (-1, 2), (0, 1), (1, 2), (2, 4).
<h3>What is a function?</h3>A function exists as a relation between a dependent variable (f(x)) and an expression of an independent variable (x), utilized to define the value of a dependent variable from a provided value of an independent variable.
We have been given a function,
We have to estimate the value of f(x) when x = {-2, -1, 0, 1, 2}
If the values of x ≤ 0, take f(x) = (1/2)ˣ then
f(-2) = (1/2)⁻² = 2² = 4
f(-1) = (1/2)⁻¹ = 2¹ = 2
f(0) = (1/2)⁰ = 1
If the values of x > 0, take f(x) = 2ˣ then
f(1) = 2¹ = 2
f(2) = 2² = 4
The table exists as follows
x -2 -1 0 1 2
f(x) 4 2 1 2 4.
We plot these points on the graph: (-2, 4), (-1, 2), (0, 1), (1, 2), (2, 4).
To learn more about independent and dependent variable refer to:
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