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
Answer:
-9x^5(x+3)(x-7)
Step-by-step explanation:
factor out -9x^3 from the expression
Let
x-------> <span>Jaime budget
</span>s------> <span>fraction of Jaime budget for student tutors
</span><span>
we know that
x=(1/4)x+(3/7)x+s
3/7 is equal to-----> (3/7)*(2/2)----> 6/14
substitute
</span>x=(1/4)x+(6/14)x+s<span>
x=(7/14)x+s
s=x-(7/14)x
s=(7/14)x-------> (1/2)x------> </span>half of the budget is for <span>student tutors.
the answer is
</span>half of the budget is for student tutors
It would be:
-.72 < -5/8 < -.6 < -7/12
Answer:
x1 = 6 + 2√6 or x2 = 6 - 2√6
Step-by-step explanation:
x² - 12x + 12 = 0
We need to use formula:
a² - 2ab + b² = (a - b)².
x² - 12x = - 12
x² - 2*6x + 6²- 6² = - 12
(x - 6)² - 36 = -12
(x - 6)² = - 12 + 36
(x -6)² = 24
(x - 6) = √24 or (x-6) = -√24
(x - 6) = 2√6 or (x-6) = - 2√6
x = 6 + 2√6 or x = 6 - 2√6
