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puteri [66]
3 years ago
12

Which description means the same as this limit expression? lim f(x)=∞

Mathematics
1 answer:
geniusboy [140]3 years ago
8 0

Answer:

b

Step-by-step explanation:

this means the graph rises.

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In a lab experiment, 40 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to doub
11Alexandr11 [23.1K]

Answer:

59 bacteria would there be after 4 hours.

Step-by-step explanation:

Given:

Bacteria in the petri dish = 40

Time taken for the bacteria to be doubled  =17 hours

To Find:

To Find the number bacteria left after 4 hours = ?

Solution:

By using the proportionality,

After 17 hours the number of bacteria will be 80.

Let the number of bacteria after 4 hours be x

then

\frac{80}{17} = \frac{x}{4}

Now by cross multiplication

17 \times x = 80 \times 4

17 x = 320

x=\frac{320}{17}

x= 18. 82

So the number of bacteria after 4 hours will be

= 40 + 18.82

= 58.82

=59

3 0
3 years ago
1. Use the number line to find the coordinate of the midpoint of segment<br> BD.
Greeley [361]

Answer:

the answer would be 9.

Step-by-step explanation:

i had this question on my test.

8 0
3 years ago
Six times the sum of a number and seven is 30. Find the number.
Sedaia [141]

Answer:

x = -2

Step-by-step explanation:

6(x+7)=30

6x+42=30

6x=-12

x=-2

3 0
3 years ago
Read 2 more answers
A cheerleading team practices each week for 375 minutes. The team practiced for 26 weeks during the year. How many minutes did t
Keith_Richards [23]

Answer:

9750 min or 162.5 hours

Step-by-step explanation:

375 times 26 = 9750

3 0
2 years ago
Read 2 more answers
Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions.
lesya692 [45]

Answer:

\displaystyle f(x) = -2(x-2)(x^2+4)

Step-by-step explanation:

We want to find a third degree polynomial with zeros <em>x </em>= 2 and <em>x</em> = 2i and f(-1) = 30.

First, note that by the Complex Root Theorem, since <em>x</em> = 2i is a root, <em>x</em> = -2i must also be a root.

Hence, we will have the three factors:

\displaystyle f(x) = a(x-(2))(x-(2i))(x-(-2i))

Where <em>a</em> is the leading coefficient.

Expand and simplify the second and third factors:

\displaystyle \begin{aligned} (x-(2i))(x-(-2i)) &= (x-2i)(x+2i) \\ \\ &= x(x-2i)+2i(x-2i) \\ \\ &= (x^2 - 2ix) + (2ix - 4i^2) \\ \\ &=x^2 + 4\end{aligned}

Hence:

\displaystyle f(x) = a(x-2)(x^2+4)

Since f(-1) = 30:

\displaystyle \begin{aligned}  f(x) &= a(x-2)(x^2+4) \\ \\ (30) &= a((-1)-2)((-1)^2+4) \\ \\ 30 &= -15a \\ \\ a&= -2\end{aligned}

In conclusion, third degree polynomial function is:

\displaystyle f(x) = -2(x-2)(x^2+4)

5 0
3 years ago
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