You can factor out a 3t first, resulting in:
Now, let's factor the equation in the middle using the quadratic equation. Plug in the values to the quadratic equation:
Simplify, you get your
x's:
To write the equation in simplified form, you just write it this way:
That's your answer ^
the absolute value of the product of the zeros of a is 
.
<u>Step-by-step explanation:</u>
Here we have , 
is a polynomial function of t, where k is a constant. Given that a(2) = 0 . We need to find the absolute value of the product of the zeros of a . Let's find out:
Equation every factor of a(t) to zero we get:
⇒ 
⇒ 
⇒ 
But , t=2 So , 
. Now , the absolute value of the product of the zeros of a is :
⇒ 
⇒ 
⇒
Therefore, the absolute value of the product of the zeros of a is .
F '(x<span>) = </span>2(3x2<span> + 5) + 6x(</span>2x<span> - </span>1<span>) ... + </span>3), s(x<span>) = </span>x<span> - 4. Use the </span>product<span> rule table. below to get: r'(</span>x) = 20x + 11. s'(x<span>) = </span>1<span> ... f'(</span>x) = (x<span> - 4</span>)(20x + 11) - (5x<span> - </span>2)(2x<span> + </span>3)/(x<span> - 4)</span>2<span>.</span>First, we will distribute 2x<span> to (</span>x<span> + 5), then we will distribute </span>3<span>. ... </span>5x<span>. That is,. multiplying binomials. 6x − </span>x<span>= </span>5x<span>. Example </span>2<span>. Multiply (3x − </span>1)(x<span> + </span>2). Answer. 3x2<span> + </span>5x<span>
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Answer:the rock would be at a point 12 m from water
Step-by-step explanation:
