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Arisa [49]
3 years ago
12

Find the limit of the function by using direct substitution. limit as x approaches zero of quantity x squared minus one.

Mathematics
1 answer:
Allisa [31]3 years ago
4 0
The given function is:
x^2 - 1
We want to calculate the limit of this function as x approaches zero. To do so, we will use direct substitution.
We will substitute the x with 0 in the given function to calculate its limit as follows:
Limit as x approaches 0 = (x)^2 - 1 = -1

Therefore, the correct choice is:
 -1
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A fenced in rectangular region with the dimensions 4 yards by 8 yards is suddenly expanded by the same distance in each dimensio
Korolek [52]

Answer:

The distance added to each dimension is 2 yards.

Step-by-step explanation:

The initial dimensions of the rectangular fence is 8 yards by 4 yards.

The initial area of the rectangular fence = area of a rectangle

area of a rectangle = length x width

So that,

The initial area of the fence = 8 x 4

                                              = 32

The initial area of the fence is 32 square yards.

But, with the new dimensions, area = 60 square yards.

(4 + x) x (8 + x) = 60

x^{2} + 12x + 28 = 60

x^{2} + 12x - 32 = 0

(x + 14) = 0 or (x - 2) = 0

x = -14 or x =2

Thus, x = 2

The distance added to each dimension is 2 yards.

4 0
3 years ago
I NEED THIS TO BE CORRECT, I WILL GIVE ANYTHING!!
Andrew [12]

Answer:

a) 105 degrees

b) 75

c) 105

Step-by-step explanation:

a) 180-75 is 105 (supplementary angles)

b) same angle as kings ave and 4th street. (supplementary angles)

c) 180-75 is 105 (also vertical angle rule)

3 0
3 years ago
8. Mrs. Reyes has 4 mangoes, 5 guavas, and 2 bananas in her basket. What is the probability that one can pick a guava?
gregori [183]

8) 5 + 4 + 2 = 11

Since there are 5 guavas, the correct answer is B. 5/11

9) 3 + 4 = 7

Since there are 4 blue papers, the correct answer is A. 4/7

10) Count all of the numbers and add them. There are 4 twos, 2 fives, and 1 three:

4 + 2 + 1 = 7

Since there are 4 twos, the correct answer is C. 4/7

5 0
2 years ago
Convert 1.76km into cm
VashaNatasha [74]

Answer:

176000cm

Step-by-step explanation:

1.76km * 1000m / 1km * 100cm / 1m = 176000cm

6 0
3 years ago
Read 2 more answers
Shawnee is putting $3,500 into an account earning 4.85% interest compounded quarterly. She estimates that it will take just over
Murljashka [212]
A=3,500×(1+0.0485÷4)^(4×11)
A=5,947.99

6000=3500(1+0.0485/4)^4t
Solve for t to know the time needed to reach 6000
Time=11.2
So the time needed is 11 years and 2 months
8 0
3 years ago
Read 2 more answers
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