4(x+2)=3(x-2)
Multiply the first bracket by 4
Multiply the second bracket by 3
4x+8=3x-6
Move 3x to the left hand side, whenever moving a number with a letter the sign changes ( positive 3x to negative 3x)
4x-3x+8=3x-3x-6
x+8=-6
Move positive 8 to the right hand side
x+8-8=-6-8
x=-14
Check answer by using substitution method
Use x=-14 into both of the equations
4(-14+2)=3(-14-2)
-56+8=-42-6
-48=-48
Answer is -14- D)
The answer is D. The law of detachment states that
"If P than Q. P."
In this case passing the bar exam is P and getting to practice law is Q. So if we know that Candice is allowed to practice law if she passes the bar exam and that she did pass the exam. The conclusion that Candice can now practice law is valid.
Answer:
x = 67°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 angles from 180 for x , that is
x = 180° - (38 + 75)° = 180° - 113° = 67°
9514 1404 393
Answer:
maximum difference is 38 at x = -3
Step-by-step explanation:
This is nicely solved by a graphing calculator, which can plot the difference between the functions. The attached shows the maximum difference on the given interval is 38 at x = -3.
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Ordinarily, the distance between curves is measured vertically. Here that means you're interested in finding the stationary points of the difference between the functions, along with that difference at the ends of the interval. The maximum difference magnitude is what you're interested in.
h(x) = g(x) -f(x) = (2x³ +5x² -15x) -(x³ +3x² -2) = x³ +2x² -15x +2
Then the derivative is ...
h'(x) = 3x² +4x -15 = (x +3)(3x -5)
This has zeros (stationary points) at x = -3 and x = 5/3. The values of h(x) of concern are those at x=-5, -3, 5/3, 3. These are shown in the attached table.
The maximum difference between f(x) and g(x) is 38 at x = -3.