Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

The speed of a hockey puck xx seconds after a hockey stick strikes it is given by the function f(x)f(x). The speed is measured in feet per second.\newlineWhat does f(0.5)=150f(0.5) = 150 tell you?\newlineChoices:\newline(A)Exactly 0.50.5 seconds after being struck, the puck is moving 150150 feet per second.\newline(B)Exactly 0.50.5 seconds after being struck, the puck has traveled 150150 feet.

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Solve quadratic equations: word problemsright chevron icon

Full solution

Q. The speed of a hockey puck xx seconds after a hockey stick strikes it is given by the function f(x)f(x). The speed is measured in feet per second.\newlineWhat does f(0.5)=150f(0.5) = 150 tell you?\newlineChoices:\newline(A)Exactly 0.50.5 seconds after being struck, the puck is moving 150150 feet per second.\newline(B)Exactly 0.50.5 seconds after being struck, the puck has traveled 150150 feet.
  1. Given Function Interpretation: We are given the function f(x)f(x) which represents the speed of a hockey puck xx seconds after being struck. The value f(0.5)=150f(0.5) = 150 is provided.\newlineWe need to interpret what this function value tells us about the speed of the puck at 0.50.5 seconds after being struck.\newlineNo calculation is needed for this step, we are just interpreting the meaning of the function value.
  2. Function Explanation: The function f(x)f(x) gives us the speed of the puck in feet per second at any given time xx seconds after the puck has been struck.\newlineWhen we are given f(0.5)=150f(0.5) = 150, it means that at x=0.5x = 0.5 seconds, the speed of the puck is 150150 feet per second.\newlineThis is a direct interpretation of the function value and does not require further calculation.
  3. Matching Interpretation with Choices: Now we need to match our interpretation with the given choices.\newline(A) states that exactly 0.50.5 seconds after being struck, the puck is moving 150150 feet per second.\newline(B) states that exactly 0.50.5 seconds after being struck, the puck has traveled 150150 feet.\newlineSince f(x)f(x) represents speed and not distance, choice (A) is the correct interpretation of f(0.5)=150f(0.5) = 150.

More problems from Solve quadratic equations: word problems

Question
Solve by completing the square.\newlinem2−10m−29=0m^2 - 10m - 29 = 0\newlineWrite your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.\newline`m` = ____ or `m` = _____
Get tutor helpright-arrow

Posted 8 months ago

Question
Find g(x) g(x) , where g(x) g(x) is the translation 5 5 units up of f(x)=x2 f(x)=x^2 .\newlineWrite your answer in the form a(x–h)2+k a(x–h)^2+k , where a a , h h , and k k are integers.\newlineg(x)= g(x)= ____
Get tutor helpright-arrow

Posted 7 months ago

Question
What is the range of this quadratic function?\newliney=x2−4x+4y = x^2 - 4x + 4\newlineChoices:\newline{y∣y≥2}\left\{y \mid y \geq 2\right\}\newline{y∣y≤0}\left\{y \mid y \leq 0\right\}\newline{y∣y≥0}\left\{y \mid y \geq 0\right\}\newlineall real numbers\text{all real numbers}
Get tutor helpright-arrow

Posted 5 months ago

Question
Write the equation of the parabola that passes through the points (1,0)(1,0), (2,0)(2,0), and (3,–16)(3,\text{–}16). Write your answer in the form y=a(x–p)(x–q)y = a(x – p)(x – q), where aa, pp, and qq are integers, decimals, or simplified fractions.\newline______
Get tutor helpright-arrow

Posted 5 months ago

Question
Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.\newlinef2+8f+_____f^2 + 8f + \_\_\_\_\_
Get tutor helpright-arrow

Posted 5 months ago

Question
Solve for h h .\newlineh2+39h=0 h^2 + 39h = 0 \newline\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.\newlineh= h = ____\newline
Get tutor helpright-arrow

Posted 5 months ago

Question
Write a quadratic function with zeros −9-9 and −7-7.\newlineWrite your answer using the variable xx and in standard form with a leading coefficient of 11.\newlinef(x)=_____f(x) = \_\_\_\_\_
Get tutor helpright-arrow

Posted 5 months ago

Question
Find the equation of the axis of symmetry for the parabola y=x2y = x^2. \newlineSimplify any numbers and write them as proper fractions, improper fractions, or integers.\newline‾\underline{\hspace{3cm}}
Get tutor helpright-arrow

Posted 4 months ago

Question
Find g(x)g(x), where g(x)g(x) is the translation 88 units up of f(x)=x2f(x) = x^2.\newlineWrite your answer in the form a(x–h)2+ka(x – h)^2 + k, where aa, hh, and kk are integers.\newlineg(x)=g(x) = ______\newline
Get tutor helpright-arrow

Posted 4 months ago

Question
Solve for xx.\newlinex2=1x^2 = 1\newline\newlineWrite your answer in simplified, rationalized form.\newlinex=x = ______ or x=x = ______\newline
Get tutor helpright-arrow

Posted 5 months ago

View all (79)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant