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Mekhanik [1.2K]
4 years ago
5

Consider the following.f(x)=74 – x2Find the x-values at which f is not continuous. Which of the discontinuities are removable?

Mathematics
1 answer:
tensa zangetsu [6.8K]4 years ago
6 0

Answer

given,

f(x) = 74 - x²

A function is continuous when it is differential at all the points.

f'(x) =\dfrac{d}{dx}(74-x^2)

f'(x) =- 2 x

so, the given function is continuous for all the value of x.

We should know that if a function is quadratic then it is differential at all the point.  And if it is differential then it is definitely continuous.

Hence, there is no discontinuous point present in the equation.

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Alice Gleason invested a portion of 32000 at 9% interest and the balance at 11% interest how much did she invest at each rate if
Drupady [299]

Answer:

Alice Gleason invested 16000 each for 9% and 11% rate respectively

Step-by-step explanation:

Let

x = portion invested for 9%

y = portion invested for 11%

Then

x + y =32000     eqn(1)

0.09x  + 0.11y =3200     eqn(2)

solving eqn(1) and eqn(2) simultaneously

multiply eqn(2) by 100 gives and eqn(1) by 9

9x +11y =320000   eqn(3)

9x + 9y = 288000  eqn(4)

subtract eqn(4) from eqn(3) to obtain y

2y = 32000

y=16000

substitute y=16000 into eqn(1) to obtain x

x=32000-16000

x=16000

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3 years ago
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Answer the following questions CORRECTLY I will know if this is wrong. I WILL REPORT ANY INCORRECT ANSWERS!
Alisiya [41]

Answer by JKismyhusbandbae: y=\frac{5}{3}x + 3

Explanation: The slope is 5/3 but it every-time it goes up by 3.

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In a survey of 100 Phoenix high school students, 40 were
melomori [17]

Answer:

40 part-time male students were in the survey.

Step-by-step explanation:

Given:

Total number of  students in the Phoenix high school = 100

Number of female student = 40

Number of male student who went to  Phoenix  Full time = 20 students

Total number of  full time students = 50 students

To Find:

Number of part time male students in the survey = ?

Solution:

we know that the total number of students  = 100

Now total number of male students  = total number of students - total number of female student

Now total number of male students  = 100 - 40 =  60 students

Now among these 60 students, 20 males went to Phoenix

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So the remaining male students = 60-20 =40 students

Hence these 40 students are part-time male students

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4 years ago
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Dmitrij [34]

Answer:

y=1.4x+6.8

Step-by-step explanation:

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4=-2k+b

-3=-7k+b

7=5k

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-2.8+b=4

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I already know k and b so I can write an equation.

y=1.4x+6.8

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