When the amount found when Bob measured [5.12] is divided by the actual [6] the result is .853333, which is the percentage that Bob measured as compared to the actual. amount of error is 15% (100%-85%)
This is a problem of logic. So we need to identify what the conditional statement means. In logic, there are several operators, one of them is the conditional operator. <span>As the name implies, the conditional operator creates a compound statement that sets up a condition for something to be true. If the condition is met, the statement is true.
<u>Symbol:</u> </span>→
<u>Parts of Conditional:</u> Two simple statements joined by the conditional symbol. The first simple statement in a conditional is called the antecedent and the second simple statement is called the consequent<span>.
</span>So let's analyze each case:<span>
Case 1. </span><span>Analyze the conditional statement and complete the instructions that follow.
</span><u>Statement:</u><em> You will receive the trophy if you win the championship match.</em>
We can rewrite this in a standard form of the conditional operator, that is:
A→B: If you win the championship match then you will receive the trophy
A: You win the championship match
B: You will receive the trophy
<u>Hypothesis:</u> You win the championship match
<u>Conclusion:</u> You will receive the trophy
Case 2.
According to the problem we have:
<u>Hypothesis:</u> You will receive the trophy.
<u>Conclusion:</u> Y<span>ou win the championship match
</span>
A: You will receive the trophy.
B: You win the championship match
We can rewrite this in an standard form of the conditional statement, that is:
A→B: If you will receive the trophy then you win the championship match
Case 3.
According to the problem we have:
<span><u>Hypothesis:</u> You do not win the championship match.
<u>Conclusion:</u> You will not receive the trophy
</span>
A: You do not win the championship match.
B: You will not receive the trophy
We can write this in a conditional statement:
A→B: If you do not win the championship match then you will not receive the trophy
Case 4.
According to the problem we have:
<span><u>Hypothesis: You win the championship match</u>
<u>Conclusion:</u> You will receive the trophy
</span>
We can rewrite this in a conditional statement:
A: You win the championship match
B: You will receive the trophy
We can write this in a conditional statement:
A→B: If you win the championship match then you will receive the trophy
Case 5.
According to the problem we have:
<u>Hypothesis:</u> Y<span>ou will not receive the trophy
</span><u>Conclusion:</u> <span>you do not win the championship match
</span>
A: You will not receive the trophy
B: You do not win the championship match
We can write this in a conditional statement:
A→B: If you will not receive the trophy then you do not win the championship match.
Answer:
First one is 9, second one is 24, third is 6, and the fourth one is 16.
Step-by-step explanation:
Points "in common with the x-axis" are also known as the roots of the quadratic equation 
. You can apply the quadratic root formula to determine the roots, and also to determine how many such roots there are. With a quadratic (whose graph is a parabola), there can be maximum of 2 roots. But under certain circumstances, there may be only one or no such root.
The root formula for a generic quadratic 
is as follows:
The expression 
under the square root is called the determinant. It is called so because it determines the number of real roots. If the determinant value is > 0, there will be 2 roots (and so the parabola will cross the x-axis in 2 points), if its value is =0, there will be only a single root (the the parabola will touch the x-axis in exactly one point), and, finally, if its value is < 0, the quadratic has no real root (andthe parabola will not have any x-intercepts).
So, let's take a look:
This means the parabola will intercept the x-axis at 2 points, two real roots.
Since the coefficient of the quadratic term is positive (a=1), the parabola is oriented "open-up." But since we already know the parabola intercepts in two points, the fact that it is open-up implies now that the vertex must lie below the x-axis (otherwise it could not intercept it).
