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velikii [3]
3 years ago
11

09.04 Continuity at a point Find the indicated limit, if it exists. (2 points)

Mathematics
1 answer:
LenKa [72]3 years ago
6 0

Answer:

6

Step-by-step explanation:

limit is defined when the limit from both side are defined and equal to f

x-> -10^-, limit f(x)=-4-(-10)=6

f(-10)=6

x-> -10^+, limit f(x)=(-10)+16=6

Then

x->-10, limit f(x)=6

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Jasmine buys 3 T-Shirts and 3 Hats for $11.25. The next day, he buys 4 T-Shirts and 2 Hats for $10. How much does each T-Shirt a
leonid [27]

Answer: Each shirt costs $1.25, and each hat costs $2.5.

Step-by-step explanation:

Let x= Cost per T-shirt, y = Cost per Hat.

As per given,

3x+3y=11.25        (i)

4x+2y=10             (ii)

Multiply 4 to equation (i)

12x+12y=45          (iii)

12x+6y= 30             (iv)

Eliminate (iv) from (iii), we get

6y= 15

⇒ y = 2.5

Put value of y in (i)

3x+3(2.5)=11.25

⇒3x+7.5=11.25

⇒3x= 3.75

⇒x= 1.25

Hence, each shirt costs $1.25, and each hat costs $2.5.

8 0
3 years ago
What is the value of x?
PIT_PIT [208]

Step-by-step explanation:

can we have the final payment to be paid on Monday or Monday or Monday if that works better with the schedule for the

7 0
2 years ago
Set up and solve a proportion 6/100=s/12
rusak2 [61]

Amount of tax on the book (s) is $0.72

Step-by-step explanation:

  • Step 1: Given 6/100 = s/12
  • Step 2: Cross multiply to solve for s

⇒ 6 × 12 = 100 × s

⇒ 72 = 100s

⇒ s = 72/100 = 0.72

7 0
3 years ago
What is the perimeter of a square which has the same area as a circle with circumfrence of 4π
Kruka [31]

Answer:

Perimeter square = 8 sqrt(pi)

Step-by-step explanation:

The perimeter of a square is 4*s

The area of a circle is Area = pi * r^2

The circumference of a circle is C = 2*pi * r

C = 4 pi

4pi = 2*pi * r

r = 2

So the area of the circle is pi * r^2 = pi * 2^2 = 4pi

The square has the same area

Area = 4*pi

Square = 4*pi

s^2 = 4*pi

s = sqrt(4*pi)

s = 2*sqrt(pi)

The perimeter = 4 * 2 * sqrt(pi)

The perimeter = 8 * sqrt(pi)

8 0
3 years ago
If arc lm = 20 ft, find the radius of N
lozanna [386]

Answer:

120 ft

Step-by-step explanation:

60/360 or 1/6 of circle = 20 ft

full circle = 20 x 6 = 120 ft

diameter = 120/3.14 = 38.22 ft

radius = 38.22/2 = 19.11 ft

5 0
2 years ago
Read 2 more answers
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