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:

Gabrielle just finished building a slingshot as a summer project. To test it, she launches a rock upward. The rock's height above the ground in meters can be modeled by the expression 1.5+22t−4.9t21.5 + 22t - 4.9t^2, where tt is the time in seconds after the rock is launched.\newlineWhat does the number 1.51.5 represent in the expression?\newline(A)the height in meters of the rock when it reaches its highest point\newline(B)the time in seconds from when the rock is launched until it reaches its highest point\newline(C)the height in meters of the rock when it is launched\newline(D)the time in seconds from when the rock is launched until it hits the ground\newline

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Interpret parts of quadratic expressions: word problemsright chevron icon

Full solution

Q. Gabrielle just finished building a slingshot as a summer project. To test it, she launches a rock upward. The rock's height above the ground in meters can be modeled by the expression 1.5+22t−4.9t21.5 + 22t - 4.9t^2, where tt is the time in seconds after the rock is launched.\newlineWhat does the number 1.51.5 represent in the expression?\newline(A)the height in meters of the rock when it reaches its highest point\newline(B)the time in seconds from when the rock is launched until it reaches its highest point\newline(C)the height in meters of the rock when it is launched\newline(D)the time in seconds from when the rock is launched until it hits the ground\newline
  1. Expression for rock's height: The expression for the rock's height is 1.5+22t−4.9t21.5 + 22t - 4.9t^2. The term 1.51.5 is a constant, which means it's the value of the height when t=0t=0.
  2. Confirming initial height: To confirm, let's plug t=0t=0 into the expression: 1.5+22(0)−4.9(0)2=1.51.5 + 22(0) - 4.9(0)^2 = 1.5.
  3. Units of measurement: Since the height is measured in meters and tt is the time in seconds after launch, the number 1.51.5 must represent the initial height of the rock when it is launched.

More problems from Interpret parts of quadratic expressions: 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 (97)

Related topics

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