Answer:
45
Step-by-step explanation:
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Given:
The expression is

To find:
The expression which is equivalent to the given expression.
Solution:
We have,

We know that,

Using this formula, the given expression can be written as



Therefore, the given expression is equivalent to 1.
Answer:
f(g(x)) = 12x + 1
Step-by-step explanation:
Step 1: Define functions
f(x) = 3x - 2
g(x) = 4x + 1
Step 2: Find f(g(x))
f(g(x)) = 3(4x + 1) - 2
f(g(x)) = 12x + 3 - 2
f(g(x)) = 12x + 1
First multiply 2 to both sides to isolate q. Since 2 is being divided by q, multiplication (the opposite of division) will cancel 2 out (in this case it will make 2 one) from the left side and bring it over to the right side.
× 2 < 2 × 2
q < 4
For the graph will you have a empty or colored in circle?
If the symbol is ≥ or ≤ then the circle will be colored in. This represents that the number the circle is on is included.
If the symbol is > or < then the circle will be empty. This represents that the number the circle is on is NOT included.
Which direction will the ray go?
If the variable is LESS then the number then the arrow will go to the left of the circle.
If the variable is MORE then the number then the arrow will go to the right of the circle.
In this case your inequality is:
q < 4
aka q is less then four
This means that the graph will have an empty circle and the arrow will go to the left of 4. (look at image below)
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
see the explanation
The graph in the attached figure
Step-by-step explanation:
we have

This is the equation of a line in slope intercept form

therefore
The slope is positive
The y-intercept is the point (0,7)---> (value of x when the value of y is equal to zero)
The x-intercept is the point (-7,0) ---> (value of y when the value of x is equal to zero)
To graph the line plot the intercepts and join the points
see the attached figure