Answer:
x = - 6
Step-by-step explanation:
Given that y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = - 9 when x = 3, thus
k =
=
= - 3
y = - 3x ← equation of variation
When y = 18, then
18 = - 3x ( divide both sides by - 3 )
x = - 6
Yes
The rule to check if a triplet of numbers can represent the sides of a triangle is the following: the sum of the length of two sides must exceed the third one.
This happens for all possible couples in your case:



Answer:
t= 3 years
Step-by-step explanation:
So far we have 2 useful relationships
and 
Now, clearing t

I apply logarithm
years
Done
8500-3000is 5500
So 10% of 5500is 550. (Assuming this is a a one time fee)
So add both together to get the remaining balance to break down into payments
6050 divided by 30=201.67
Answer: 5+sqrt(97)/12, 5-sqrt(97)/12 or we write it as [5+/-sqrt(97)]/(12)
5x=6x^2-3
6x^2-5x-3=0
x=-b+/-sqrt(b^2-4ac)/2a
x=-(-5)+/-sqrt((-5^2-4(6)(-3))/2(6)
x= 5+/-sqrt(97)/12
And decimal form is;
x=1.237, -0.4041
If anyone has any questions please feel free to ask and I’ll reply ASAP. Thanks