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zubka84 [21]
2 years ago
10

PLEASE HELP. A rainwater collection tank contained 40 inches of water. After 4 days of rain, the level had risen to 52 inches. L

et r represent the rate of rainfall each day. Determine the equation that represents this situation.
Mathematics
1 answer:
Zigmanuir [339]2 years ago
7 0
40 + y = 52 is the answer and the answer to y is 12
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What are the roots of the polynomial equation x^3-5x+5=2x^2-5? Use a graphing calculator and a system of equations. Round nonint
leonid [27]

The right answer is c. –2.24, 2, 2.24


This question needs to be solved in two ways. First, using a graphing calculator. Next, using a system of equations.


1. Using a graphing calculator.


We have the following polynomial equation:

x^3-5x+5=2x^2-5


By ordering this equation we have:

x^3-2x^2-5x+10=0


So, we can say that this equation comes from a function given by:

f(x)=x^3-2x^2-5x+10


Thus, by plotting this function, we have that the graph of this function is indicated in Figure 1. By zooming, we can see, in Figure 2, that the roots of the polynomial equation are the x-intercepts of f(x) which are:


x_{1}=-2.236 \\ \\ x_{2}=2 \\ \\ x_{3}=2.236


Finally, rounding noninteger roots to the nearest hundredth we have:


\boxed{Root_{1}=-2.24} \\ \\ \boxed{Root_{2}=2} \\ \\ \boxed{Root_{3}=2.24}


2. Using a system of equations.


The ordered equation is:

x^3-2x^2-5x+10=0


By arranging to factor out we have:

x^3-5x-2x^2+10=0


Then, by factoring:

x(x^2-5)-2(x^2-5)=0


Term (x^2-5) is a common factor, thus:


(x-2)(x^2-5)=0 \\ \\ (x-2)(x-\sqrt{5})(x+\sqrt{5})=0 \\ \\ Finally: \\ \\ \boxed{Root_{1}=-\sqrt{5}=-2.24} \\ \\ \boxed{Root_{2}=2} \\ \\ \boxed{Root_{3}=\sqrt{5}=2.24}

6 0
3 years ago
Read 2 more answers
All students = 700
Sedaia [141]

Answer:

  • See below

Step-by-step explanation:

<u>Given:</u>

  • Total number = 700
  • Off grid class = 450
  • Online class = 320
  • Both = 275

<u>Based on the given we find the following</u>

1) <u>Off-grid class only:</u>

  • 450 - 275 = 175

3) <u>Online class only:</u>

  • 320 - 275 = 45

2) <u>None of the classes:</u>

  • 700 - (175 + 275 + 45) = 205

4) <u>Not online:</u>

  • 700 - 320 = 380

5) <u>Not off-grid:</u>

  • 700 - 450 = 250
7 0
2 years ago
8x-5y=21 simultaneous linear equation<br>2x+9y=-5
olya-2409 [2.1K]

Answer:

x=2 and y=-1

Step-by-step explanation:

If two equations are given, we can solve one of the equation in terms of single variable and put it in the other equation which will further give the value of x and y.

For the given equations:

8x-5y=21              Equation:1

2x+9y=-5             Equation:2

Solving equation multiply equation 2 with 4 on both the sides

8x+36y=-20        Equation 3

Subtracting Equation:3 from Equation:1

8x-5y-(8x+36y)=21-(-20)\\8x-5y-8x-36y=21+20\\-41y=41\\y=-1

Putting value of 'y' in Equation:2 which will give the value of x

2x+9y=-5\\2x+9(-1)=-5\\2x-9=-5\\2x=4\\x=2

8 0
3 years ago
A compound proposition that is always ___________ is called a contradiction. A. True B. False
alexandr1967 [171]

Answer:

<em>A compound proposition that is always false is called a contradiction</em>

Step-by-step explanation:

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2 years ago
You move right 3 units and left 4 units. you end at (-3,-1). where did you start?​
Tema [17]

Answer:

(-2,-1) is where u start

Step-by-step explanation:

6 0
3 years ago
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