The correct answer is 10.
In order to evaluate any composite function, you need to first put the value in for the inside function. In this case f(x) is on the inside along with the number 3. So, we input 3 in for x in f(x).
f(x) = 2x + 1
f(3) = 2(3) + 1
f(3) = 6 + 1
f(3) = 7
Now that we have the value of f(3), we can stick the answer in for the outside function, which is g(x).
g(x) = (3x - 1)/2
g(7) = (3(7) - 1)/ 2
g(7) = (21 - 1)/2
g(7) = 20/2
g(f(3)) = 10
We know that a triangle equals 180 degrees in total. We also know one of the angles so we can do 180-84= 96. This means that the other two angles must be equal to 96 degrees. We then set up (x+59)+(x+51)=96 "since both of the angles must add up to 96." Then we add like terms and get 2x+110=96. Further simplification gives us x= -7. Plug this into both angles and you get that angle A is 44 degrees.
Answer:not 100 % sure but I can write a slope intercept form equation, but not an inequality. I would need a picture of the graph to write an inequality.
First find slope: (y2 - y1)/(x2 - x1) Slope is 3
Choose a point then use point slope form y - y1 = m(x - x1) It is y - 1 = 3(x - 1)
Now simplify:
y - 1 = 3(x - 1)
y - 1 = 3x - 3
y = 3x - 2
y = 3x - 2
Step-by-step explanation:
Answer:
Arithmetic density.
Step-by-step explanation:
The correct answer is arithmetic density. This is because for a country, it is also known as real density and it's defined as the number of people per unit area of total land in that country.
Thus, the population of a country divided by its area determines its arithmetic density
The first example has students building upon the previous lesson by applying the scale factor to find missing dimensions. This leads into a discussion of whether this method is the most efficient and whether they could find another approach that would be simpler, as demonstrated in Example 2. Guide students to record responses and additional work in their student materials.
§ How can we use the scale factor to write an equation relating the scale drawing lengths to the actual lengths?
!
ú Thescalefactoristheconstantofproportionality,ortheintheequation=or=!oreven=
MP.2 ! whereistheactuallength,isthescaledrawinglength,andisthevalueoftheratioofthe drawing length to the corresponding actual length.
§ How can we use the scale factor to determine the actual measurements?
ú Divideeachdrawinglength,,bythescalefactor,,tofindtheactualmeasurement,x.Thisis
! illustrated by the equation = !.
§ How can we reconsider finding an actual length without dividing?
ú We can let the scale drawing be the first image and the actual picture be the second image. We can calculate the scale factor that relates the given scale drawing length, , to the actual length,. If the actual picture is an enlargement from the scale drawing, then the scale factor is greater than one or
> 1. If the actual picture is a reduction from the scale drawing, then the scale factor is less than one or < 1.
Scaffolding:
A reduction has a scale factor less than 1, and an enlargement has a scale factor greater than 1.
Lesson 18: Computing Actual Lengths from a Scale Drawing.
