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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Answer:
P(A) = at most 25 of them like to swim
P(B) = at least 26 of them like to swim
P(A) +P(B) = 100%
=> P(B) = 100-P(A) = 100-38 =62%
=> B is correct
<h2>Answer- <u>
<em>3</em><em>3</em><em>9</em><em>1</em><em>.</em><em>2</em><em>mi</em><em>le</em></u></h2>
Step-by-step explanation:
Greetings !
Firstly, recall distance-speed equation
Given values:-
- speed(v)=15.7mile/hr
- time(t)=9days
required values:-
solution /work-out
But, first change the time from day to hour
Thus, 9days=216hours
plug in the given values and solve for the distance.
Hope it helps!