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arlik [135]
3 years ago
9

Original: 379 New: 83

Mathematics
1 answer:
VladimirAG [237]3 years ago
5 0
379x=89
_______
379 =379

x=0.21
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A biologist is comparing the growth of a population of flies per week to the number of flies a bullfrog will consume per week. S
Lubov Fominskaja [6]

Realize that since 2x and 3x - 1 are equal to each other, they are also equal to y. This means that we can craft two equations, y = 2x and y = 3x - 1.


When you want to solve a systems of equations via a graph, you need to plot both equations on a graph and determine the x- and y-value of where the lines intersect. In this case, we would plot both y = 2x and y = 3x - 1. These lines intersect at the point (1, 2).


Since we are trying to find the day the bullfrog will be able to eat the entire population, or x, we are going to use the x-value of our point as our answer. Thus, our answer is 1 day.

3 0
3 years ago
What is 200000000 plus 3
Marizza181 [45]

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3 years ago
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A certain bridge arch is in the shape of half an ellipse 106 feet wide and 33.9 feet high. At what horizontal distance from the
nata0808 [166]

Answer:

The horizontal distance from the center is 49.3883 feet

Step-by-step explanation:

The equation of an ellipse is equal to:

\frac{x^2}{a^{2} } +\frac{y^2}{b^{2} } =1

Where a is the half of the wide, b is the high of the ellipse, x is the horizontal distance from the center and y is the height of the ellipse at that distance.

Then, replacing a by 106/2 and b by 33.9, we get:

\frac{x^2}{53^{2} } +\frac{y^2}{33.9^{2} } =1\\\frac{x^2}{2809} +\frac{y^2}{1149.21} =1

Therefore, the horizontal distances from the center of the arch where the height is equal to 12.3 feet is calculated replacing y by 12.3 and solving for x as:

\frac{x^2}{2809} +\frac{y^2}{1149.21} =1\\\frac{x^2}{2809} +\frac{12.3^2}{1149.21} =1\\\\\frac{x^2}{2809}=1-\frac{12.3^2}{1149.21}\\\\x^{2} =2809(0.8684)\\x=\sqrt{2809(0.8684)}\\x=49.3883

So, the horizontal distance from the center is 49.3883 feet

8 0
3 years ago
<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%7Bx%7D%5E%7B3%20%7D%20%20%2B%20%20%7B3x%7D%5E%7B2%7D%20-%209x%20%2B%205"
9966 [12]

Answer:

f(1) =  {(1)}^{3}  + 3 {(1)}^{2}  - 9(1) + 5 \\ (x - 1) = 0 \rightarrow \: x = 1 \\\frac{{x}^{3 } + {3x}^{2} - 9x + 5}{x - 1}  =  {x}^{2}  + 4x - 5 \\ (x + 5)(x - 1) = 0 \\ x =  - 5 \: or \: x = 1 \\   \color{red}\boxed{x_{1} = 1} \\\color{yellow} \boxed {x_{2} = 1} \\    \color{green}\boxed{x_{3} =  - 5}

The answer would be C and F

7 0
2 years ago
Need help with proportions please all 3!!
denis23 [38]
For question 4 it will be 416.666666667 so to make it easier you can just put "They have to provide about 416.67 pound of food each day"

7 0
3 years ago
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