<u>Answer:</u>
Limit = -1
<u>Step-by-step explanation:</u>
We are given the following function:

We are to calculate the limit of this function as x approaches zero.
For that, we will use direct substitution method and substitute the x with 0 in the given function to calculate its limit as follows:


Therefore, the limit is -1.
Answer: In order to save money for a 1 day rental with plan B, the number of miles must be greater than 153.84 miles
Step-by-step explanation:
Let x represent the number of miles driven with either plan A or B.
Plan A: 30 dollars per day and 13 cents per mile. It means that the cost of renting the car or one day and driving x miles is
30 + 0.13x
Plan B: 50 dollars per day with free unlimited mileage. It means that the cost of renting the car or one day and driving x miles is 50
In order to save money for a 1 day rental with plan B, the number of miles would be
50 < 30 + 0.13x
50 - 30 < 0.13x
20 < 0.13x
0.13x > 20
x > 20/0.13
x > 153.84 miles
Answer:
y=mx+b
Step-by-step explanation:
y=1/2+-2
The fraction 3/26 is alread in the simplest form, so it isn't possible to reduce it any further.
This is a PROPER FRACTION once the absolute value of the top number or numerator (3) is smaller than the absolute value of the bottom number or denomintor (26).
The fraction 3/26 is equal to 3÷26 and can also be expressed in decimal form as 0.115385.
A) Net A would be the correct net for the prism.
B) AB = 3in
BC = 5in
CD = 8.6in
C) area of one triangle : 4*3/2 = 6
But there's 2 triangles so 6*2 = 12cm2
Area of the middle square : 8.6*4 = 34.4cm2
Area of bottom square : 8.6*5 = 43cm2
Area of top rectangle : 8.6*3 = 25.8cm2
Finally add all of these areas together and you will get the surface area : 115.2cm