Questions: Use the following function rule to find (f(24.92)). [f(x)=-2.69 sqrtx-15.92] Write your answer as a decimal or whole number. [f(24.92)=]

Use the following function rule to find (f(24.92)). [f(x)=-2.69 sqrtx-15.92] Write your answer as a decimal or whole number. [f(24.92)=]
Transcript text: Use the following function rule to find $f(24.92)$. \[ f(x)=-2.69 \sqrt{x-15.92} \] Write your answer as a decimal or whole number. \[ f(24.92)= \]
failed

Solution

failed
failed

Solution Steps

To evaluate the function \( f(x) = -2.69 \sqrt{x-15.92} \) at \( x = 24.92 \), substitute \( 24.92 \) for \( x \) in the function and compute the result. This involves calculating the square root of the difference \( 24.92 - 15.92 \), then multiplying the result by \(-2.69\).

Step 1: Substitute the Given Value into the Function

To find \( f(24.92) \), substitute \( x = 24.92 \) into the function \( f(x) = -2.69 \sqrt{x - 15.92} \).

Step 2: Calculate the Expression Inside the Square Root

Compute the expression inside the square root: \[ 24.92 - 15.92 = 9 \]

Step 3: Evaluate the Square Root

Calculate the square root of 9: \[ \sqrt{9} = 3 \]

Step 4: Multiply by the Coefficient

Multiply the result by \(-2.69\): \[ -2.69 \times 3 = -8.07 \]

Final Answer

The value of \( f(24.92) \) is \(\boxed{-8.07}\).

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
A blueprint has a scale of 1/4 in = 1 ft. On the blueprint, a wall is drawn 3 1/4 in long. What is the actual measure of the wall? The actual measure of the wall is ft
failedAnswered
Molecule A Molecule B Molecule C Molecule D molecule classification (check all that apply) - - - A □ wax □ triacylglycerol □ fatty acid □ monosaccharide □ eicosanoid □ prostaglandin □ phospholipid □ triglyceride □ none of the above
failedAnswered
Solve the linear programming problem using the simplex method. Maximize P = -x1 + 2x2 subject to -x1 + x2 <= 2 -x1 + 3x2 <= 12 x1 - 4x2 <= 6 x1, x2 >= 0 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The maximum value of P is P= when x1= and x2= (Simplify your answers.). B. There is no optimal solution.
failedAnswered
HW 3.5: Intro to Rational Functions Question 2 of 11 (9 points) I Question Attempt: 1 of 3 Write the domain of the function in interval notation. Write numbers as integers or simplified fractions. l(x) = (3x-4) / (15x^2 - 2x - 8) Part 1 of 3 l(x) = (3x-4) / (15x^2 - 2x - 8) will not be a real number when the denominator is zero. Part: 1 / 3 Part 2 of 3 That is, when 15x^2 - 2x - 8 = 0 ( )( ) = 0 x = and x =
failedAnswered
Which of the following is an example of an external filter in communication? When traveling in Japan, Hayley gets on the wrong train because she cannot read the signs in Japanese. Taylor tells Calvin she is too busy to have dinner this week, and Calvin assumes she must be upset with him. Ryan told Anna to meet at the restaurant at 5, but due to static on the call. Anna heard 9 instead. Jeff uses the "Reply All" option on each email because he thinks it's important for everyone to stay informed.