Answer:
we conclude:
Step-by-step explanation:
Given
To determine
In order to determine f(g(7)), the first step we need to do is to determine g(7)
so substitute x = 7 in g(x) = 2x + 2
so now we have
The next step to do is to substitute x = 16 in f(x) = 4x + 21
so we have
Therefore, we conclude:
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.
Answer:
(a) 3
Step-by-step explanation:
Calculate the slope m of the line given using the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (0,3) and (x₂, y₂ ) = (3, 2)
m = = -
given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= 3 → (a)