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Leni [432]
3 years ago
14

At which value in the domain does f(x) = 0?

Mathematics
1 answer:
bekas [8.4K]3 years ago
5 0

Answer:

C

Step-by-step explanation:

f(x)=0 at points of intersection of the graph of the function with x-axis.

From the diagram you can see that the graph of the function intersects x-axis at three points:

somewhere between -3 and -2;

somewhere between -1 and 0;

at x=1.

Since x=1 is the value of x from the domain, then correct choice is option C.

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The count in a bacteria culture was 800 after 15 minutes and 1200 after 40 minutes. Assuming the count grows exponentially,
Maslowich

Answer:1) bacteria size = b(initial) * e^(r * t)  

initial size = 300  

final size = 1600.

 

Substituting the values into the main equation:

1600 = 300 * e^(r * 35 - 20)  

solving for 'r'.

1600 = 300 * e^(r * 15)  

1600/300 = e^(r * 15)  

taking natural log on both sides to eliminate the power

ln(16/3) = ln[e^(r * 15)]  

ln(16/3) = r * 15  

r  = ln(16/3) / 15

  = 0.11159843

  = 11.16%  

To find the initial bacteria size,  

Given: t = 20  

300 = b * e^(0.1116 * 20)  

Solving for b:

300 = b * e^2.232  

b = 300/e^2.232  

b = 32

Step-by-step explanation:

3 0
3 years ago
What is the square root of 16x36?
uysha [10]
The square root is 4x6

If you have anymore, this should help you: http://www.math.com/students/calculators/source/square-root.htm
4 0
4 years ago
Read 2 more answers
Which quadratic regression equation best fits the data set?
nata0808 [166]

Answer: y = 1.87x^2 -5.16 x + 10.54

Step-by-step explanation:

Since the general quadratic equation is,

y = ax^2 + bx+c

Here the given table is,

x           1             2              3            4               5              6             7

y          5.9        8.9          13.4         20.1          30.1         45.1        67.7

By the graphing calculator,

a = 1.87024 ≈ 1.87

b= -5.15833 ≈ -5.15

c = 10.5429 ≈ 10.54

By putting the values of a, b and c,

The required quadratic equation is,

1.87 x^2 -5.15x + 10.54

⇒ First Option is correct.

6 0
4 years ago
Read 2 more answers
Determine if the expression - 8n ^ 2 * m ^ 4 + 9m ^ - 1 * n ^ 2 + 6n ^ 4 * is a polynomial or not. If it is a polynomial, state
vovangra [49]

Step-by-step explanation:

In mathematics, a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

since there is a term of m^-1 (a negative exponent) that we cannot combine with others (as it is not multiplied with another m-based term), it is NOT a polynomial.

8 0
3 years ago
Can someone help? I’m almost done with this class.
melisa1 [442]

Answer:

750

300

390, 570

120,750

2.28

15.87

Step-by-step explanation:

4 0
3 years ago
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