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Marina86 [1]
3 years ago
12

Part one: How do you solve a system of equations approximately using graphs and tables?

Mathematics
1 answer:
tatiyna3 years ago
5 0
This problem can be solve by graphing (technology), as suggested. 
The answer is posted as an attached image.  We see that after about 14.75 years, the invading species will surpass the indigenous population.

If it needs to be solved mathematically and accurately, the math is a little more advanced, using the bisection method, or Newton's method.
However, we can also do that by trial and error, starting from 14.75.  It is easier than you might think.

Post if you would like to have more information on one or the other methods.

Note: the scale of y has been shrunk by 1000, so each unit on the y-axis represents 1000 frogs.

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A rectangular yard is X feet wide. The yard is 4 feet longer than it is wide. The perimeter P of yard is given by the equation P
vladimir2022 [97]

Given:

Width of the rectangular yard = x feet

Length of the rectangular yard = x+4 feet

Perimeter of the rectangular yard is:

P=4x+8

Perimeter of the yard = 84 feet

To find:

The length of the rectangular yard.

Solution:

Perimeter of the yard is 84 feet.

4x+8=84

4x=84-8

4x=76

Divide both sides by 4.

x=\dfrac{76}{4}

x=19

So, the width of the rectangular yard is 19 feet.

Length = 19+4

Length = 23

The length of the rectangular field is 23 feet.

Therefore, the correct option is B.

6 0
3 years ago
In science class, Emily's 1-liter beaker contains 0.3 liter of water. Ali's beaker conatains 0.8 liter water, and Katies beaker
Mars2501 [29]

Answer:

Step-by-step explanation:

KATIE

5 0
3 years ago
What is the y-intercept of the function f(x) = –2/9x + 1/3?
marishachu [46]
<span>f(x) = –2/9x + 1/3
</span>y -intercept when x = 0
so
f(x) = –2/9(0) + 1/3 then f(x) = 1/3

answer
<span>y-intercept </span>(0, 1/3)
4 0
3 years ago
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The side of the base of a square prism is decreasing at a rate of 7 kilometers per minute and the height of the prism is increas
Ber [7]

Answer:

dV = - 5.73*10⁹ m³/s

Step-by-step explanation:

Question: What is the rate of change of the volume of the prism at that instant (in cubic meters per second) ?

A function can be dependent on one or more variables. The change in the function due to a change in one o its variables is given by the functions derivative with respect to that variable. For functions that are composed of products of its variables, we may use the product rule to determine its derivative.

The volume of a square prism with base a and height h is given by

V = a²h

When the base and height are changing, we have

dV = 2ah(da/dt) +  a²(dh/dt)

Given

a = 4 Km

h = 9 Km

da/dt = - 7 Km/min

dh/dt = 10 Km/min

we have

dV = 2(4 Km)(9 Km)(- 7 Km/min) +  (4 Km)²(10 Km/min)

⇒   dV = - 504 Km³/min + 160 Km³/min = - 344 Km³/min

⇒   dV = - 5.73*10⁹ m³/s

8 0
3 years ago
A rectangular prism has dimensions of 3x, 5x, and 6x. Write an expression for the total volume of the prism.
Evgesh-ka [11]
90because u multiple 3x in 5x equal to 15 then multiple 6x in 15x together equal to 90 prism
3 0
3 years ago
Read 2 more answers
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