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3 years ago

G(x) = sqr root of x+3 What is the domain of g?

Mathematics

2 answers:

beks73 [17]3 years ago

6 0

Answer:

$all \: real \: numbers \: except \: \\ x + 3 < 0 \\ \: \: \: \: x < - 3$

maria [59]3 years ago

5 0

Answer:

X is the domain and sqr root of X+3 is the range.

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Jimmy is about to pick a marble from the jar. How likely is it that he will pick a blue marble?

Sav [38]

Answer:

depends on how many different colors there are in the jar and how many marbles there are.

Step-by-step explanation:

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3 years ago

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Graph the equation y = -3x on a graph

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Put a dot on the -3 from the y-axis and draw a straight line from left to right.

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3 years ago

1. The number of rabbits on an island is increasing exponentially.

Zina [86]

Answer:

There are approximately 114 rabbits in the year 10

Step-by-step explanation:

Exponential Growth

The natural growth of some magnitudes can be modeled by the equation:

$P=P_o(1+r)^t$

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

We are given two measurements of the population of rabbits on an island.

In year 1, there are 50 rabbits. This is the point (1,50)

In year 5, there are 72 rabbits. This is the point (5,72)

Substituting in the general model, we have:

$50=P_o(1+r)^1$

$50=P_o(1+r)\qquad\qquad[1]$

$72=P_o(1+r)^5\qquad\qquad[2]$

Dividing [2] by [1]:

$\displaystyle \frac{72}{50}=(1+r)^{5-1}=(1+r)^{4}$

Solving for r:

$\displaystyle r=\sqrt[4]{\frac{72}{50}}-1$

Calculating:

r=0.095445

From [1], solve for Po:

$\displaystyle P_o=\frac{72}{(1+r)^5}$

$\displaystyle P_o=\frac{72}{(1.095445)^5}$

$P_o=45.64355$

The model can be written now as:

$P=45.64355(1.095445)^t$

In year t=10, the population of rabbits is:

$P=45.64355(1.095445)^{10}$

P = 113.6

$P\approx 114$

There are approximately 114 rabbits in the year 10

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3 years ago

Which of the following statements is always true about the function y=a•b^x

OLEGan [10]

Answer:

c. When a > 0 and b > 1, the function models exponential growth.

Step-by-step explanation:

You have exponential decay when a > 0 and 0 < b < 1.

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3 years ago

Divide N6.00 in the ratio of 1:2

Anna35 [415]

Answer:

2:4

Step-by-step explanation:

Ratio: 1:2

6/3 = 2

2*1=2

2*2=4

2:4 is the answer

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2 years ago