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Aleksandr [31]
3 years ago
8

Find the value of x where the function is discontinuous. f(x)=x^3+3^x

Mathematics
1 answer:
djverab [1.8K]3 years ago
5 0
A(x)=x^3 is a polynomial function, and polynomial functions are continuous for all x, 

b(x)=3^x is an exponential function, continuous for all x.


f(x)=a(x)+b(x) is continuous because the sum of 2 continuous functions is a continuous function.

Answer: f is continuous for all x in the real numbers
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Which is the product of 7/9 and 6?
OLEGan [10]

Answer:

14/3

Step-by-step explanation:

<u>7</u>       x          <u> 6</u>

9                    1

7x6=42

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29. Which of the following expressions will result in a real answer after being simplified? Select all that apply.
nexus9112 [7]

Answer: A, B, C, and E

Step-by-step explanation:

If both sides are real numbers, then the product will be a real number.

If in at least one of the sides we have a complex number, then the product will be real if:

The other number is zero.

The other number is the conjugate of the first.

This is when:

Suppose we have a number:

z = a + b*i

The conjugate will be:

w = a - b*i

And the product between them is:

(a + b*i)*(a - b*i) = a^2 + a*b*i - a*b*i + b^2 = a^2 + b^2

Then the options that will have a real answer are:

A. (4+5i)(4-5i) = 4^2 + 5^2 = 16 + 25 = 41

B. (4 + 91)*(41 - 9) = 3040

C. (3 + 2*i)*(3 -2*i) = 3^2 + 2^2 = 9 + 4 = 13

E. (312 + 7i)*(312 - 7i) = 312^2 + 7^2 = 97,393

5 0
3 years ago
A snail travels 1/8 mile in 3/4 hour. The snail's speed is miles per hour.
Vera_Pavlovna [14]

9514 1404 393

Answer:

  1/6 mph

Step-by-step explanation:

To find miles per hour, divide miles by hours.

  (1/8 mi)/(3/4 h) = (1/8×4/3) mi/h = 1/6 mi/h

The snail's speed is 1/6 miles per hour.

8 0
3 years ago
Read 2 more answers
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