Answer:
(f-g) (3x)=27x^3+12+2
Step-by-step explanation:
First lets write the following:
(f-g) (3x)= f(3x)-g(3x)
Now we need to find equivalent expression for f(3x) and for g(3x), we will obtaine them by evaluating 3x instead of x in every 'x' appearance.
Wi have>
g(3x)= -27x^3+4
f(x)=12x-2
Now, lets perfomr the desired operation.
f(3x)-g(3x)=27x^3+12+2
You would take answer you got for how much they spent and multiply the answer by 2.
Answer:
$3849.35
Step-by-step explanation:
2305/100 = y/167
2305 = 100% price
167% = +tax
167/100=1.67
do the same to the top.
2305*1.67=3849.35
the answer is $3849.35
<u>Given</u>:
The lengths PQ = 4x + 2, QR = 7x – 19, and QU = 34
We need to determine the value of ST.
<u>Value of x:</u>
By two tangent theorem, we have;
PQ = QR
Substituting the values, we get;




Thus, the value of x is 7.
<u>Length of PQ and QR:</u>
Substituting x = 7 in the expressions of PQ and QR, we get the lengths.
Length of PQ = 
Length of QR = 
<u>Radius of the circle:</u>
The radius of the circle PU can be determined using the Pythagorean theorem.
Thus, we have;

Substituting the values, we get;




Thus, the radius of the circle is 16.
<u>Length of ST:</u>
The length of ST is 
Substituting SU = UT = 16 because the radius of the circle is 16.
Thus, we have;


Thus, the length of ST is 32.