The limit does not exist at the jump discontinuity at <em>x</em> = -2.
From the left, the green-ish curve approaches 4; from the right, the orange curve approaches 6. These one-sided limits are not equal, so the two-sided limit does not exist.
Answer:
D. (1,0)
Step-by-step explanation:
Just plug in each coordinate for x and y into 4x+2y and see which one is less than or equal to 6.
Lets go through all of the possible answers:
<u>A</u>. (0,4)
4(0) + 2(4) ≤ 6
0 + 8 ≤ 6
8 ≤ 6
This is false. 8 is not less than or equal to 6.
<u>B</u>. (5,0)
4(5) + 2(0) ≤ 6
20 + 0 ≤ 6
20 ≤ 6
This is false. 20 is not less than or equal to 6.
<u>C</u>. (5,7)
4(5) + 2(7) ≤ 6
20 + 14 ≤ 6
34 ≤ 6
This is false because 35 is not less than or equal to 6
<u>D</u>. (1,0)
4(1) + 2(0) ≤ 6
4 + 0 ≤ 6
4 ≤ 6
This is true, because 4 is less than 6.
There are some missing details in the question. I found a similar question with some addition of details as follows:
The Sugar Sprinkles package contained 3/4 of a cup of the mix that needs to be mixed with 2 2/5 cups of flour, 2 1/4 cups of brown sugar, 3 3/8 and cups of water. The directions indicate to use 0.1125 of a cup of dough to make one cookie and 1 batch should make a total of Sugar Sprinkles cookies.
The Chocolate Turtle package contained 0.875 of a cup of the mix that needs to be mixed with 3.25 cups of flour, 2.5 cups of brown sugar, and 3.75 cups of water. The directions indicate to use 1/8 of a cup of dough to make one cookie and 1 batch should make a total of Chocolate Turtle cookies. The difference in the number of cookies of each type is _____
Answer:
Difference in number of cookies is 1
Step-by-step explanation:
This question is quite a tricky one. You have to be careful when answering it.
For sugar sprinklers, it contains 3/4 of a cup of the dough. For every 0.1125 of a cup, 1 cookie can be made.
So, 3/4 ÷ 0.1125
= 0.75 ÷ 0.1125
= 6.66667
Hence the most can be made is 6.
Note that we do not use the other volume because 0.1125 cup of a dough is the amount of cup from the original mix
The same applies to chocolate turtle cookies. It contains 0.875 of a cup. For every 1/8 of a cup can make 1 cookie.
0.875 ÷ 1/8 = 7
So the difference in the number of cookies is 7 - 6 = 1
Answer:
Step-by-step explanation:
Since you're finding the angle, you use the inverse of sin, cos, and tan.
