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Alisiya [41]
3 years ago
12

Suppose that the amount of algae in a pond dobles every 6 hours. If the pond initially contains 50 ponds of algae, how much alga

e would be in the pond in 18 hours?
a. 400
b. 10,800
c. 300
d. 600
Mathematics
1 answer:
Vikki [24]3 years ago
5 0
Well we know the algae doubles three times.
So take 50 x 2 = 100
take 100 x 2= 200
200 x 2 = 400

So the answer is A
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Which orderd pair is a solution to this equation? -2x-y=4
nevsk [136]
To find the ordered pair solution, you need to find the zero(s) (which are the x-values for which y is equal to zero). This is called the Zero Product Property. Here's the math:

-2x-y=4             convert the equation into slope form

-y=2x+4            multiply both sides by -1

y=-2x-4             convert into factored form

y=-2(x+2)          now, we need to find what x equals that makes y equal zero

0=-2(x+2)          replace y with zero

0/-2=x+2           divide both sides by -2

-2=x                  x=-2 when y=0

Therefore, the zero of the equation (aka the solution) is the ordered pair (-2,0). 

Answer: (-2,0)

If you have access to a graphing calculator, you can just convert the equation to y=mx+b form and enter it as a function. The solution is wherever the graph intercepts the x-axis. Hope this helps!



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What is the equation of a parabola with focus of (5,3) and directrix y=-3
Svetradugi [14.3K]
X 2 − 10 x − 18 y − 2 = 0 Explanation: for any point ( x , y ) on the parabola the distance from ( x , y ) to the focus and directrix are equal ⇒ √ ( x − 5 ) 2 + ( y − 3 ) 2 = | y + 6 | squaring both sides ( x − 5 ) 2 + ( y − 3 ) 2 = ( y + 6 ) 2 ⇒ x 2 − 10 x + 25 + y 2 − 6 y + 9 = y 2 + 12 y + 36 ⇒ x 2 − 10 x − 18 y − 2 = 0
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2 years ago
Is 1.356356356 a rational number
Ierofanga [76]
Yes 1.356356356 is a ration number because it repeats.
4 0
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Which is the graph of a linear equation x - 2y equals 6 ​
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This is the graph hope this helps.

7 0
3 years ago
1. Using the graph of the function f(x) shown below, answer the following questions.
Sphinxa [80]

Graphs can be used to represent functions, and vice verse

  • The values of f(-7), f(0), f(4) and f(9) are -6, 3, 1 and -4, respectively.
  • f(x) = 5 illustrate three values of x
  • The y-intercept is 3
  • The maximum and the minimum values of the graph are 5.5 and 6
  • The graph passes the vertical line test.

<u>(a) The values of f(-7), f(0), f(4) and f(9)</u>

  • At x = -7, the corresponding value of the function is -6.
  • At x = 0, the corresponding value of the function is 3.
  • At x = 4, the corresponding value of the function is 1
  • At x = 9, the corresponding value of the function is -4

Hence, the values of f(-7), f(0), f(4) and f(9) are -6, 3, 1 and -4, respectively.

<u>(b) The number of values of the x at f(x) = 5</u>

At f(x) =5, the values of x are -10, 1 and 3.

Hence, f(x) = 5 illustrate three values of x

<u>(c) The y-intercept</u>

This is the point where the graph crosses the y-axis, i.e. when x = 0.

Hence, the y-intercept is 3

<u>(d) The maximum and the minimum values of the graph</u>

The highest point on the graph is (2.5,5.5), while the least point is (-7,-6)

Hence, the maximum and the minimum values of the graph are 5.5 and 6, respectively.

<u>(e) Why the graph represents a function</u>

It represents a function because it passes the vertical line test.

This in other words means that, each x value has exactly one y value

Read more about functions and graphs at:

brainly.com/question/18806107

7 0
2 years ago
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