Answer:
(x + 4) × (2x - 5)
Step-by-step explanation:
- Begin by writing 3x as a difference
- 2x^2 + 8x - 5x - 20
- Factor out 2x from the expression
- 2x × (x + 4) - 5x - 20
- Factor out -5 from the expression
- 2x × (x + 4) - 5 (x + 4)
- Factor out x + 4 from the expression
- (x + 4) × (2x - 5)
Hope this helps!!
To check the decay rate, we need to check the variation in y-axis.
Since our interval is
![-2We need to evaluate both function at those limits.At x = -2, we have a value of 4 for both of them, at x = 0 we have 1 for the exponential function and 0 to the quadratic function. Let's call the exponential f(x), and the quadratic g(x).[tex]\begin{gathered} f(-2)=g(-2)=4 \\ f(0)=1 \\ g(0)=0 \end{gathered}](https://tex.z-dn.net/?f=-2We%20need%20to%20evaluate%20both%20function%20at%20those%20limits.%3Cp%3E%3C%2Fp%3E%3Cp%3EAt%20x%20%3D%20-2%2C%20we%20have%20a%20value%20of%204%20for%20both%20of%20them%2C%20at%20x%20%3D%200%20we%20have%201%20for%20the%20exponential%20function%20and%200%20to%20the%20quadratic%20function.%20Let%27s%20call%20the%20exponential%20f%28x%29%2C%20and%20the%20quadratic%20g%28x%29.%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%5Btex%5D%5Cbegin%7Bgathered%7D%20f%28-2%29%3Dg%28-2%29%3D4%20%5C%5C%20f%280%29%3D1%20%5C%5C%20g%280%29%3D0%20%5Cend%7Bgathered%7D)
To compare the decay rates we need to check the variation on the y-axis of both functions.

Now, we calculate their ratio to find how they compare:

This tell us that the exponential function decays at three-fourths the rate of the quadratic function.
And this is the fourth option.
Answer:
10 map squares.
Step-by-step explanation:
We have been given a histogram, which represents the plant species spotted in the animal reserve.
The x-axis represents the number of plant species and y axis represents the number of map squares.
We can see that 0 to 9 species are spotted in 1 map square.
10 to 19 and 20 to 29 plant species are spotted in 2 map squares.
To find the number of map squares that spot more than 29 plant species, we will count number of map squares that spot 30 to 49 plant species as 30 to 49 numbers are more than 29.
We can see from our histogram that 4 map squares spot 30 to 39 plant species and 6 map squares spot 40 to 49 plant species.


Therefore, 10 map squares spot more than 29 plant species.
Please finish the sentence(s). This doesn’t have enough information. Have a good day