Answer:
83
Step-by-step explanation:
Add the numbers together
Answer:
Option C = 15
Step-by-step explanation:
In principle when a function <em>f(x) </em>varies directly with <em>x</em> it suggests that any changes in x results in the equivalent changes in<em> f(x)</em>. If we have two variables, i.e. <em>y</em> representing<em> f(x)</em> and <em>x</em> representing itself, any increment/decrement in <em>x</em> will result to the same increment/decrement in <em>y</em> by a factor <em>a, thus we can say that y = ax, implying y and x have the same ratio. </em>
In the given question we know that <em>
</em> when 
<em>, </em>which translates as
This tells us that 
varies by a factor (lets call it) 
for a given value of 
.
To find this factor we can just divide 45 with 9 which gives: 
Thus the factor here is 
which finally tells us that
Eqn (1) our original function.
Since we now know our function we can plug in the value for 
and solve for 
as follow:
Looking at the given options in the question we can conclude that the correct answer is Option C = 15
Before the 1 on the x-axis
Answer:
C.
Step-by-step explanation:
The range of a function is the complete set of all possible resulting values of the function
which is here just (3 , 9 , 12)
so the choice is C.
Answer:
Simplifying
6x + -3 = 21 + -2x
Reorder the terms:
-3 + 6x = 21 + -2x
Solving
-3 + 6x = 21 + -2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2x' to each side of the equation.
-3 + 6x + 2x = 21 + -2x + 2x
Combine like terms: 6x + 2x = 8x
-3 + 8x = 21 + -2x + 2x
Combine like terms: -2x + 2x = 0
-3 + 8x = 21 + 0
-3 + 8x = 21
Add '3' to each side of the equation.
-3 + 3 + 8x = 21 + 3
Combine like terms: -3 + 3 = 0
0 + 8x = 21 + 3
8x = 21 + 3
Combine like terms: 21 + 3 = 24
8x = 24
Divide each side by '8'.
x = 3
Simplifying
x = 3
Step-by-step explanation:
