Answer:
The value of
is 17-18x and
is -7-18x.
Step-by-step explanation:
It is given in the question functions f(x) as 3x+2 and g(x)=5-6x.
It is required to find
and
.
To find
, substitute g(x) for x in f(x) and simplify the expression.
To find
, substitute f(x) for x in g(x) and simplify the expression.
Step 1 of 2
Substitute g(x) for x in f(x) and simplify the expression.

Step 2 of 2
Substitute f(x) for x in g(x) and simplify the expression.

Given that speed of car = x miles per hour
Time of travel = y minutes = y/60 hours
(Because there are 60 minutes in an hour)
We have to calculate distance travelled so we will use formula
Distance = speed * time
Distance = x * y/60
Distance = xy/60
Hence choice d) xy/60 is the final answer.
This is an isosceles triangle. The definition of an isosceles triangle is a triangle with at least two congruent sides and angles. If 2 angles on a triangle are congruent (in this case 45 and 45 are two congruent angles) then triangle is isosceles. Therefore the two sides of triangle will be congruent. We know that the triangle is a right triangle because it has a hypotenuse. If a triangle has a hypotenuse then it's a right triangle. We can apply the Pythagorean theorem: a^2 + b^2 = c^2
A and B are the legs and C is the hypotenuse.
We can plug C in the equation:
a^2 + b^2 = 128
What do we know about the legs of the isosceles triangle? They are congruent so a and b have to be equal. From here it's simply guess and check. Will 8 work?
8^2 + 8^2 = 128
64 + 64 = 128
128=128
Yes the value 8 works so the length of two legs of the triangle is 8.
Since the exchange rate of euro to USD right now is 1:1.11, therefore he spent 150x1.11=166.5 USD. Therefore, he has 250-166.5=83.5 USD left(assuming the exchange rate is the same, 1.17).