To use the discriminant, first identify a, b, and c. In your equation a= 3 b = -5 and c = 4. Now plug into the discriminant b^2 - 4ac. Substituting yields (-5)^2 - 4(3)(4). Simplifying, 25 - 48 = -23. Since the discriminant has a negative value, there is no real solution to this equation.
Answer:
$7.20
Step-by-step explanation:
Let's solve your inequality step-by-step.<span><span><span>|<span>8a+5</span>|</span>−6</span><4</span>Step 1: Add 6 to both sides.<span><span><span><span>|<span>8a+5</span>|</span>−6</span>+6</span><4+6</span><span><span>|<span>8a+5</span>|</span><10</span>Step 2: Solve Absolute Value.<span><span>|<span>8a+5</span>|</span><10</span>We know<span><span>8a+5</span><10</span>and<span><span>8a+5</span>>−10</span><span><span>8a+5</span><10</span>(Condition 1)<span><span><span>8a+5</span>−5</span><10−5</span>(Subtract 5 from both sides)<span>8a<5</span><span><span>8a/8</span><5/8</span>(Divide both sides by 8)<span>a<5/8</span><span><span>8a+5</span>>−10</span>(Condition 2)<span><span><span>8a+5</span>−5</span>><span>−10−5</span></span>(Subtract 5 from both sides)<span>8a>−15</span><span><span>8a/8</span>><span>−15/8</span></span><span>(Divide both sides by 8)
</span><span>a><span><span>−15/</span>8</span></span>Answer:<span><span>a<<span><span><span>5/8</span><span> and </span></span>a</span></span>><span><span>−15/</span><span>8</span></span></span>
Answer:
Percent error = 11.6%
Step-by-step explanation:
Given the following data;
Actual height, A = 14.7 m
Estimated height, E = 13 m
a. To find the absolute error;
Absolute error = A - E
Absolute error = 14.7 - 13
Absolute error = 1.7
b. To find the percent error;
Percent error can be defined as a measure of the extent to which an experimental (estimated) value differs from the actual or theoretical value.
Mathematically, it is given by this expression;
Substituting into the equation, we have;
Percent error = 11.57 ≈ 11.6%