Answer:

Step-by-step explanation:
The slope intercept form is
.
The "
" is the slope; which in this case is -3. So
.
The "
" is the y-intercept, which is this case is the -8 because it is the 2nd number in the coordinate point.
This is why the answer is
.
12 dollars is discounted off, making the price 28 dollars.
Step-by-step explanation:
10 percent is 4$, 4×3=12
Answer:
8 packs of bottled water and 14 packs of candy bars
Step-by-step explanation:
Provided,
Each pack of water bottles = 35 bottles
Each pack of candy = 20 candy
Since quantity of candy in each pack is small than quantity of water bottle in each pack, in order to have same quantity in numbers of both bottles and candies,
Purchase quantity of candy packs shall be more than the pack of water bottles.
Further, with this option 1 and 2 are not valid as candy packs are same or less than packs of water bottle.
In option 3 and 4, option 3 have smaller quantities as provided manager bought the least possible quantity.
Accordingly
Option 3
8 packs of water bottle = 
14 packs of candy = 
Since the quantities of water bottles and candies are same this is an opt answer.
Answer:
Step-by-step explanation:
29 years they are combined ages the same and if this goes up 2:1 ratio every year thereafter from age 43 then to change 29:43 to make double it is x 8 43 x 8= 344 and 29 x16=464. The ages never become double.
Answer:
Cos x = 1 -
+
-
+ ...
Step-by-step explanation:
We use Taylor series expansion to answer this question.
We have to find the expansion of cos x at x = 0
f(x) = cos x, f'(x) = -sin x, f''(x) = -cos x, f'''(x) = sin x, f''''(x) = cos x
Now we evaluate them at x = 0.
f(0) = 1, f'(0) = 0, f''(0) = -1, f'''(0) = 0, f''''(0) = 1
Now, by Taylor series expansion we have
f(x) = f(a) + f'(a)(x-a) +
+
+
+ ...
Putting a = 0 and all the values from above in the expansion, we get,
Cos x = 1 -
+
-
+ ...