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Leokris [45]
3 years ago
14

The number of mice tripled each year for the past 4 years in the small rural town. Which of the following characteristics best d

escribes the function?
The graph is a curved line that increases.
The graph is V-shaped the increases then decreases.
The graph is a straight line that increases.
The graph is U-shaped the increases then decreases.
Mathematics
1 answer:
saul85 [17]3 years ago
4 0

Answer:

The graph is a curved line that increases.

Step-by-step explanation:

If the mice triple in population every year then the population is increasing an at exponential rate by multiplying the previous mouse count by 3. I have included a image of a graph that would represent this.

Thus the graph is a curved line that increases, it is not a v shape because the population will constantly increase by 3 times each year, it is not a straight line because the mice population is not increasing in a linear fashion and the population is not U shaped as the population will not decrease as long as the mice population triples every year.

Hope this helps!

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What is 1+1? I need help fast.
Vesna [10]

Answer:

1+1 is 2

Hope it will help :)

3 0
3 years ago
Which shows one way to determine the factors of 4x3 + x2 – 8x – 2 by grouping?
lyudmila [28]

Step-by-step explanation:

4x^3+x^2-8x-2\qquad\text{distributive}\\\\=x^2(4x+1)-2(4x+1)\\\\=(4x+1)(x^2-2)

5 0
3 years ago
(1)/(5)x +3=2x-24 <br> Anwser please kitten
vivado [14]

Answer:

x = 15

Step-by-step explanation:

Hope this helps! :D

5 0
3 years ago
Read 2 more answers
Emily baked 3 batches of 13 sugar cookies each. She ate 2 of the cookies and gave 10 of them to her neighbor. In return, her nei
alisha [4.7K]

Answer:

Emily have 33 cookies.

Step-by-step explanation:

Given that:

Batches of cookies baked = 3

Number of cookies in each batch = 13

Total number of cookies = 3 * 13 = 39 cookies

She ate 2 cookies.

Remaining = 39 - 2 = 37 cookies

She gave 10 to her neighbor

Remaining = 37 - 10 = 27 cookies

1 batch = dozen cookies

half batch = 6 cookies

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7 0
3 years ago
What is the exact solution for the equation
Nostrana [21]

Answer:

Option C is correct.

Exact solution of  2^{x+2} = 5^{2x} is, \frac{2\ln 2}{2\ln 5 - \ln 2}

Step-by-step explanation:

Given the equation: 2^{x+2} = 5^{2x}

Using logarithmic rules:

  • a^x=b^y ⇒ x \ln a =y \ln b
  • \ln x^a = a\ln x

Given: 2^{x+2} = 5^{2x}

Taking logarithmic both sides:

\ln 2^{x+2} = \ln 5^{2x}

By logarithmic rules;

(x+2) \ln 2 = (2x) \ln 5

Using distributive property i.e a\cdot (b+c) = a\cdot b + a\cdot c

x \ln 2 +2 \ln 2 = 2x \ln 5

Subtract x \ln 2 from both sides we get;

x \ln 2 +2 \ln 2 - x \ln 2= 2x \ln 5 - x \ln 2

Simplify:

2 \ln 2= 2x \ln 5 - x \ln 2

or

2 \ln 2= x (2\ln 5 - \ln 2)

Divide both sides by (2\ln 5 - \ln 2) we get;

\frac{2\ln 2}{2\ln 5 - \ln 2} = x

Therefore, the exact solution of the given equation is \frac{2\ln 2}{2\ln 5 - \ln 2}


7 0
3 years ago
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