To determine whether a cause-effect relationship exists between two variables, a researcher must use an experimental approach.
<h3>What is
cause-effect relationship?</h3>
A cause-and-effect relationship is one which satisfies some conditions like:
- two events occur at the same time and in the same place
- one event immediately precedes the other
Therefore, To determine whether a cause-effect relationship exists between two variables, a researcher must use an experimental approach.
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Answer:
y < 1/2x -5
Step-by-step explanation:
1/2 is the slope
-5 is the y intercept
(2x^2-4x-3)(3x+1)
Expand
<span><span>(<span><span><span>2<span>x^2</span></span>+<span>−<span>4x</span></span></span>+<span>−3</span></span>)</span><span>(<span><span>3x</span>+1</span><span>)
Cross multiply
</span></span></span><span><span><span><span><span><span><span><span>(<span>2<span>x2</span></span>)</span><span>(<span>3x</span>)</span></span>+<span><span>(<span>2<span>x^2</span></span>)</span><span>(1)</span></span></span>+<span><span>(<span>−<span>4x</span></span>)</span><span>(<span>3x</span>)</span></span></span>+<span><span>(<span>−<span>4x</span></span>)</span><span>(1)</span></span></span>+<span><span>(<span>−3</span>)</span><span>(<span>3x</span>)</span></span></span>+<span><span>(<span>−3</span>)</span><span>(1)
Simplify</span></span></span></span><span><span><span><span><span><span><span>6<span>x^3</span></span>+<span>2<span>x^2</span></span></span>−<span>12<span>x^2</span></span></span>−<span>4x</span></span>−<span>9x</span></span>−3
Simplify</span></span><span><span><span><span><span>6<span>x^3</span></span>−<span>10<span>x^2</span></span></span>−<span>13x</span></span>−3 is your answer</span></span>
If we move 7 to one side, we have (y^2 + 4y -3) = 0. From this form, we can apply the quadrati formula to solve for the values of y.
To recall, quadratic formula is [ -b ±√ (b² - 4ac) ]/2a.
For our equation, we have a =1, b = 4, and c = -3. If we plug this in, we have y to have approximate values of -2 - sqrt(7) and -2 + sqrt(7)<span>.</span>
