Answer:
Step-by-step explanation:
I am assuming the tank starts empty. It means that in 1 hour the tank has half that water, or 3600 gallons. And the good thing of lines passing through 0.0 is that the value at 1 IS the slope we need. ie 3600.
At this point it's easy to find that if in 2 hours it filled 1/10th of the tank, in 20 hours the tank will be full.
Graph done with paint, obviously not to scale.
The number of pieces made from rod is 49
<h3><u>Solution:</u></h3>
Given that A metal rod will be cut into pieces that are each 1/56 meters long
The rod is 7/8 meters long.
<em><u>To find: number of peices made from rod</u></em>
The number of peices made from rod can be calculated by dividing the total length of rod by length of each piece
Here total length of rod = 
meters
length of each piece to be made = 
meters
Substituting the values in above formula, we get
So the number of pieces made from rod is 49
In this question, let's add those polynomials
(5x-6) + (2x-6)
5x -6 +2x -6 <em>Combine like terms</em>
<em>5x +2x -6-6</em>
7x -12
Since this is not an equation, no further step can be done.
-5 times -5= 25
because the negative times negative=positive
The solutions for the given quadratic equation are x = -1 and x = 3. So, option B is correct.
<h3>What are the solutions to an equation?</h3>
- The solutions to an equation are the one that satisfies the equation and makes it true.
- There are different methods to solve an equation and find its solutions.
- These solutions are also called zeros or roots of the equation.
<h3>Calculation:</h3>
The given equation is 4x² - 8x - 12 = 0
Since it is a quadratic equation, it has 2 roots or solutions.
On factorizing the given equation,
4x² - 8x - 12 = 0
⇒ 4x² - 12x + 4x -12 = 0
⇒ 4x(x - 3) + 4(x - 3) = 0
⇒ (4x + 4)(x - 3) = 0
According to the zero-product rule,
4x + 4 = 0 or x - 3 = 0
So, x = -4/4 = -1 or x = 3
Therefore, the solutions of the given equation are -1 and 3.
So, option B) x = -1 and x = 3 is correct.
Learn more about solving an equation here:
brainly.com/question/25678139
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