Let's solve your equation step-by-step.
6x−12=3(2x+5)
Step 1: Simplify both sides of the equation.
6x−12=3(2x+5)
6x+−12=(3)(2x)+(3)(5)(Distribute)
6x+−12=6x+15
6x−12=6x+15
Step 2: Subtract 6x from both sides.
6x−12−6x=6x+15−6x
−12=15
Step 3: Add 12 to both sides.
−12+12=15+12
0=27
Answer:
There are no solutions.
Step-by-step explanation:
sec x − cos x
Secant is the inverse of cosine:
(1 / cos x) − cos x
Find the common denominator:
(1 / cos x) − (cos² x / cos x)
Subtract:
(1 − cos² x) / cos x

Let
, so that differentiating both sides wrt
gives

If
and
, the above reduces to

This is the slope of the tangent line, which has equation

Answer:
$4.99
Step-by-step explanation:
20 - 5.03 = 14.97
14.97 ÷ 3 = 4.99
Answer:
5
Step-by-step explanation: