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NemiM [27]
3 years ago
14

Which graph represents the function? g(x)={x      if  x<2−3   if  x≥2

Mathematics
2 answers:
zaharov [31]3 years ago
6 0

Answer:

We have to graph the function g(x) which is given as:

g(x)=  x when x<2

 and -3 when x ≥2.

Clearly after looking at the function we see that the function is not continuous since we find the continuity at x=2 as follows.

Left hand limitat 2:

g(2-h)=lim h→0 2-h

        =2-0=2

Also right hand limit at x=2 is:

g(2+h)=lim h→0 (2+h)

          = 2+0=2

Also g(2)= -3.

As:

Left hand limit= Right hand limit but is not equal to function's value at that point.

Hence, the function is discontinuous at x=2.

so for x<2 we will get a graph of a line y=x.

and for x≥2 we will get a straight line y=-3 parallel to the domain.

Pepsi [2]3 years ago
5 0

g(x)=\left\{\begin{array}{ccc}x&if&x

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Nine times the difference of a number and 4 is the same as the product of 2 and the same number plus 10. What is the number?
Bezzdna [24]

Answer:

The product of 10 and a number is = 10x Twice that number means 2x 36 less than twice that number= 2x-36. It is given that....The product of 10 and a number is the same as 36 less twice that same number

Step-by-step explanation:

5 0
3 years ago
An isosceles triangle has two sides of equal length, a, and a base, b. The perimeter of the triangle is 15.7 inches, so the equa
Setler [38]

Answer:

b=0.5 in

b=2 in

Step-by-step explanation:

we know that

The perimeter of triangle is equal to

2a+b=15

Solve for a

a=\frac{15-b}{2} -----> equation A

Applying the Triangle Inequality Theorem

a+a > b

2a > b -----> inequality B

<u>Verify each case</u>

case 1) b=-2 in

This value not make sense, the length side cannot be a negative number

case 2) b=0 in

This value not make sense

case 3) b=0.5 in

substitute the value of b in the equation A and solve for a

a=\frac{15-0.5}{2}=7.25\ in

substitute the values of b and  a in the inequality B

2a > b

2(7.25) > 0.5

14.50 > 0.5 -----> is  true

therefore

b=0.5 in  make sense for possible values of b

case 4) b=2 in

substitute the value of b in the equation A and solve for a

a=\frac{15-2}{2}=6.5\ in

substitute the values of b and  a in the inequality B

2a > b

2(6.5) > 2

13 > 2 -----> is true

therefore

b=2 in  make sense for possible values of b

case 5) b=7.9 in

substitute the value of b in the equation A and solve for a

a=\frac{15-7.9}{2}=3.55\ in

substitute the values of b and  a in the inequality B

2a > b

2(3.55) >7.9

7.1 > 7.9 -----> is not true

therefore

b=7.9 in  not make sense for possible values of b

5 0
3 years ago
Read 2 more answers
Can someone help me on number one and 4? Thanks! :)
BabaBlast [244]

Answer:

Step-by-step explanation:

I’m pretty sure it’s b

3 0
3 years ago
Plz I need help’mmmmmmmm
Anna007 [38]

Answer:

Therefore,

C=\pi d\\C\approx 3.14 \times d\\C\approx 43.96\ inches

Step-by-step explanation:

Let Assume Some Diameter of a Circle, to Solve it

Diameter = d = 14 inch ( say )

C =Circumference

Pi =constant = 3.14

To Find:

C = ?

Solution:

Formula for Circumference of a Circle is given as

C=\pi d

Where,

C = Circumference

d = Diameter

Now Substitute d = 14 inches we get

C=3.14\times 14\approx 43.96\ inches

This way we can find the circumference for any 'd' i.e Diameter

Therefore,

C\approx 43.96\ inches

6 0
3 years ago
15. Bhargav stops in at a deli to get lunch for
Colt1911 [192]

Each roast beef cost $4 and each vegetarian sandwich cost $2.5

Let x represent the cost of each roast beef and let y represent the cost of each vegetarian sandwich.

Bhargav buys five roast beef and three  vegetarian sandwiches and the order costs $27.50. This can be represented by the equation:

5x + 3y = 27.50     (1)

Bhargav buys 2 roast beef and 6  vegetarian sandwiches and the order costs $23.00. This can be represented by the equation:

2x + 6y = 23.00     (2)

To find x and y, we have to solve equation 1 and 2 simultaneously. Multiply equation 1 by 2 and subtract equation 2 from the result:

8x = 32

x = 4

Put x = 4 in equation 2

2(4) + 6y = 23.00

6y = 15

y = 2.5

Therefore each roast beef cost $4 and each vegetarian sandwich cost $2.5

Find out more at: brainly.com/question/16763389

4 0
2 years ago
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