the limit as x approaches -3 of [g(x)-g(-3)]over(x+3) is the same as the derivative, or slope, of g(x) at the point x=-3, or g'(-3).
Since you are given the equation of the tangent line, the answer is just the slope of that line.
2y+3=-(2/3)(x-3)
6y+9=-2(x-3)
6y+9=-2x+6
6y=-2x-3
y= (-2x-3)/6
slope is -2/6 = $\boxed{ -\frac{1}{3} }$

8 0

3 years ago

50 points! Due in 20 minutes! So hurry ! no random answers please. Will mark brainliest:)

olga2289 [7]

The new coordinates are (3, 1)

5 0

3 years ago

There are 3 blue marbles, 6 red marbles, 2 green marbles and 1 black marble in a bag. Suppose you select one marble at random. F

laila [671]

Answer:

For blue its 3/12 = 1/4 = 25%

For red it's 6/12= 1/2= 50%

For green 2/12= 1/6= 17%

For black 1/12= 8%

Step-by-step explanation:

All you have to do is add up all the marbles 3 + 6 + 2 + 1 = 12 and then you put the number of marbles for each color and divide it by 12 which gives you those percentages. I don't know if you wanted the answers in percentages or fractions so I gave you both . Good luck!!

4 0

3 years ago