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Sholpan [36]
2 years ago
14

For what interval is the function f(x) = (20 + \sqrt{x}) / (\sqrt{20 + x}) continuous?

Mathematics
1 answer:
konstantin123 [22]2 years ago
5 0
Try this solution:
1. according to the condition
\left \{ {{x \geq 0} \atop {20+x\ \textgreater \ 0}} \right. \ =\ \textgreater \  \ x \geq 0.
2. for more details see the attached graph.

Answer: [0;+oo)

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Determine the equation for the line of best fit using (1996,47) (2012,41)
Natasha2012 [34]

Answer:

ghdfdjyt

Step-by-step explanation:

fgdhfdgjytdjdfty

8 0
2 years ago
A manufactured product has a length that is normally distributed with a mean of 12 cm. The product will be unusable if the lengt
Sav [38]

Answer:

a) σ  = 0,1612

b) P [ 11,75 < X < 12,35] = 0,92,44   or    92,44 %

Step-by-step explanation:

NOTE: I assume the unusable length s 11,5 and less

a) For a normal distribution, the probability of P = 0,01 corresponds to z(score) =  -3,1 then:

- 3,1 = ( X - μ₀ ) / σ

- 3,1 = (11,5 - 12 )/ σ

-3,1 = - 0,5 / σ

σ  = 0,1612

b) If σ = 0,1612

P [ 11,75 < X < 12,35]

z₁ (score)  = ( 11,75 - 12 ) / 0,1612

z₁  = - 0,25/ 0,1612

z₁  = -1,55

From z table  P [ 11,75 < X] = 0,0606

z₂ (score) = ( 12,35 - 12) / 0,1612

z₂ = 0,35 / 01612

z₂ = 2,17

From z table  P [ X < 12,35] = 0,9850

Finally P [ 11,75 < X < 12,35] = 0,9850 -  0,0606

P [ 11,75 < X < 12,35] = 0,92,44   or    92,44 %

5 0
2 years ago
Can you please solve and explain how
Karolina [17]

First, it would help to simplify each side more:

Left side: 36 + 3(4x - 9) = 36 + 12x - 27 = 12x + 9

Right side: c(2x + 1) + 25 = 2cx + c + 25

Write the simplified equation:

12x + 9 = 2cx + c + 25

Usually when there is no solution, the coefficients of the variable on both sides are the same, so we can make the coefficient if x on the right side into 12:

2cx >>> 12x

Then, c must equal 6 to make this true.

The answer is choice (C).

6 0
2 years ago
Read 2 more answers
W(x)=-5(x-8)(x+4) what is the maximum height that the stone will reach?
Ganezh [65]

Answer:

the maximum height is 180 or y=180

Step-by-step explanation:

6 0
3 years ago
15 pts the cost of 5 cartons of fresh ice cream is $8.75 what is the cost of 11 such cartons
Morgarella [4.7K]

Answer:

C ($19.25)

Step-by-step explanation:

First, find how much 1 carton costs, which is $8.75 divided by 5, which is $1.75. So, to find how much 11 cartons cost, we just multiply by 11 to get [tex]\boxed{\$19.25}[\tex]

5 0
2 years ago
Read 2 more answers
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