Podcast
Questions and Answers
For the function 𝑓(𝑥) = 2𝑥² − 3𝑥 + 1, what is the value of 4𝑓(𝑥+ℎ)−𝑓(𝑥) / ℎ?
For the function 𝑓(𝑥) = 2𝑥² − 3𝑥 + 1, what is the value of 4𝑓(𝑥+ℎ)−𝑓(𝑥) / ℎ?
In the function 𝑓(𝑥) = 5𝑥 + 20, what is the slope of the line?
In the function 𝑓(𝑥) = 5𝑥 + 20, what is the slope of the line?
For the function 𝑓(𝑥) = 𝑥² − 6𝑥 + 8, what are the x-intercepts of the graph?
For the function 𝑓(𝑥) = 𝑥² − 6𝑥 + 8, what are the x-intercepts of the graph?
What is the equation in vertex form for 𝑓(𝑥) = 𝑥² + 10𝑥 + 24?
What is the equation in vertex form for 𝑓(𝑥) = 𝑥² + 10𝑥 + 24?
Signup and view all the answers
What is the correct graph for the function 𝑓(𝑥) = −3(𝑥 + 2)² − 1?
What is the correct graph for the function 𝑓(𝑥) = −3(𝑥 + 2)² − 1?
Signup and view all the answers
What is the value of 𝑓(1.8) for 𝑓(𝑥) = ⟦10𝑥+0.5 ⟧?
What is the value of 𝑓(1.8) for 𝑓(𝑥) = ⟦10𝑥+0.5 ⟧?
Signup and view all the answers
What is the Decimal Degrees equivalent of 52° 34′ 16″?
What is the Decimal Degrees equivalent of 52° 34′ 16″?
Signup and view all the answers
What is the Degree-Minute-Second (DMS) representation of 56.075°?
What is the Degree-Minute-Second (DMS) representation of 56.075°?
Signup and view all the answers
What is the central angle (θ) when the radius is 18 meters and the arc length is 27 meters?
What is the central angle (θ) when the radius is 18 meters and the arc length is 27 meters?
Signup and view all the answers
Find the radian measure of -15°.
Find the radian measure of -15°.
Signup and view all the answers
What is the approximate value of cotangent of 11°?
What is the approximate value of cotangent of 11°?
Signup and view all the answers
Solve the right triangle with a = 19, α = 14°, and β = unknown.
Solve the right triangle with a = 19, α = 14°, and β = unknown.
Signup and view all the answers
What is the value of $e^{2x} - e^{2x-3}e^{3x^2}$?
What is the value of $e^{2x} - e^{2x-3}e^{3x^2}$?
Signup and view all the answers
In the equation $\log 4(2x - 1) + 3 = 5$, what is the value of $x$?
In the equation $\log 4(2x - 1) + 3 = 5$, what is the value of $x$?
Signup and view all the answers
If $\log_b 2 = 0.69$, $\log_b 3 = 1.10$, and $\log_b 5 = 1.61$, what is $\log_b \sqrt{60}$?
If $\log_b 2 = 0.69$, $\log_b 3 = 1.10$, and $\log_b 5 = 1.61$, what is $\log_b \sqrt{60}$?
Signup and view all the answers
If $\ln x = \ln(2x + 5) - \ln(x - 2)$, what is the value of $x$?
If $\ln x = \ln(2x + 5) - \ln(x - 2)$, what is the value of $x$?
Signup and view all the answers
What is the value of $\log 5(3x - 8)$ when it equals $2$?
What is the value of $\log 5(3x - 8)$ when it equals $2$?
Signup and view all the answers
Evaluate to four decimal places: $\ln 0.00654$.
Evaluate to four decimal places: $\ln 0.00654$.
Signup and view all the answers
What is the slope of the linear function $f(x) = 10x + 0.5$?
What is the slope of the linear function $f(x) = 10x + 0.5$?
Signup and view all the answers
For the function $f(x) = -2x - 3$, what are the slope and X-intercept, respectively?
For the function $f(x) = -2x - 3$, what are the slope and X-intercept, respectively?
Signup and view all the answers
What is the slope of the line given by $5y = 3x - 30$?
What is the slope of the line given by $5y = 3x - 30$?
Signup and view all the answers
For the function $g(x) = \frac{3}{2}$, what are the slope and x-intercept, respectively?
For the function $g(x) = \frac{3}{2}$, what are the slope and x-intercept, respectively?
Signup and view all the answers
If $f(x) = \sqrt{x^2 - 2x}$, what is the domain of the function?
If $f(x) = \sqrt{x^2 - 2x}$, what is the domain of the function?
Signup and view all the answers
Which of the following equations represents a function?
Which of the following equations represents a function?
Signup and view all the answers
What is the value of sin 𝜃 if cos 𝜃 = 3?
What is the value of sin 𝜃 if cos 𝜃 = 3?
Signup and view all the answers
If tan 𝜃 = -5, what is the value of sec 𝜃?
If tan 𝜃 = -5, what is the value of sec 𝜃?
Signup and view all the answers
Given sin 𝜃 = 3/5, what is the value of csc 𝜃?
Given sin 𝜃 = 3/5, what is the value of csc 𝜃?
Signup and view all the answers
Calculate the value of cot 264°.
Calculate the value of cot 264°.
Signup and view all the answers
If tan(20 rad) = x, what is the value of sec(20 rad)?
If tan(20 rad) = x, what is the value of sec(20 rad)?
Signup and view all the answers
What is the value of sin(-325° 45′ 32")?
What is the value of sin(-325° 45′ 32")?
Signup and view all the answers
