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3 years ago

Find the dicontinuities of the function. f(x) = x2 + 12x + 27 x2 + 4x + 3 . There is a removable discontinuity at (, ).

Mathematics

2 answers:

ollegr [7]3 years ago

5 0

Answer:

Step-by-step explanation:

its -3 -3 for both

ValentinkaMS [17]3 years ago

4 0

Solution-

$f(x)=\frac{x^{2}+12x+27 }{x^{2} +4x+3} =\frac{x^{2}+9x+3x+27 }{x^{2} +3x+x+3}=\frac{(x+3)(x+9)}{(x+3)(x+1)}$

Equating the denominator to 0,

⇒ (x+3)(x+1) = 0

⇒ x= -3, -1

∴ Discontinuities of the function f(x) is at -3, -1

As (x+3) is also a factor of the numerator, you will have what's called a removable discontinuity. That will show up as a hole in the graph.

∴ At x = -3, you will have removable discontinuity.

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sharon is building a rectangular patio the patio will be 18 bricks wide and 29 bricks long.she has 500 bricks. does she have eno

Goryan [66]

Since this is area you'll simply just do 18 x 29 which equals 522 and compare it to the amount of bricks she currently has. In this case, no, Sharon does not have enough bricks as she is 22 bricks short.

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3 years ago

An online furniture store sells chairs for $150 each and tables for $400 each. The store must sell a minimum of $4900 worth of c

Snowcat [4.5K]

Answer: 150c + 400t ≥ 4900

Step-by-step explanation:

Let the number of chairs sold = c

Let the number of tables sold = t

Price for each chair = $150

Price for each table = $400

The inequality that could represent the number of tables and chairs sold will be:

(150 × c) + (400 × t) ≥ 4900

150c + 400t ≥ 4900

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3 years ago

Express 0.25 as a whole Number

tatyana61 [14]

Answer:

Step-by-step explanation:

100 as the denominator. You should slide it twice to the right. like this 0.25

2.5 then 25

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3 0

3 years ago

A pizza shops sells pizzas that are 10inches (in diameter) or larger. A 10-inch cheese pizza cost 8$ .Each additional inch costs

yuradex [85]

Answer:

y=8+1.5x+0.75z

Step-by-step explanation:

step one:

let us initialize the variables

let the cost of pizza be y

and let additional inch be x

also, let additional topping be z

step two:

we can model the cost of pizza as

y=8+1.5x+0.75z

therefore the expression for the cost of the pizza is given as

y=8+1.5x+0.75z

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4 years ago

A. Complete the table if y varies

serious [3.7K]

Direct variation is represented by the equation y = k × x and inverse variation is represented by y = k/x

Table 1:

y = k × x

30 = k × 5

30 = 5k

k = 30/5

k = 6

So,

y = 30

y = 30 k = 6

y = 30 k = 6x = 5

y = 30 k = 6x = 5Equation: y = 6x

y = k × x

y = 10 × 8

y = 80

So,

y = 80

y = 80 k = 10

y = 80 k = 10x = 8

y = 80 k = 10x = 8Equation: y = 10x

y = 3x

18 = 3x

x = 18/3

x = 6

So,

y = 18

y = 18k = 3

y = 18k = 3x = 6

y = 18k = 3x = 6Equation: y = 3x

y = 2x²

72 = 2x²

x² = 72/2

x² = 36

x = √36

x = 6

So,

y = 72

y = 72k = 2

y = 72k = 2x = 6

y = 72k = 2x = 6Equation: y = 2x²

Table 2:

y = k/x

5 = k/6

5 × 6 = k

30 = k

So,

y = 5

y = 5k = 30

y = 5k = 30x = 6

y = 5k = 30x = 6Equation: y = 30/x

y = k/x

y = 36/4

y = 9

So,

y = 9

y = 9k = 36

y = 9k = 36x = 4

y = 9k = 36x = 4Equation: y = 36/x

y = 60/x

20 = 60/x

20x = 60

x = 60/20

x = 3

So,

y = 20

y = 20k = 60

y = 20k = 60x = 3

y = 20k = 60x = 3Equation: y = 60/x

y = 24/x

y = 24/12

y = 2

So,

y = 2

y = 2k = 24

y = 2k = 24x = 12

y = 2k = 24x = 12Equation: y = 24/x

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3 0

3 years ago