What is a horizontal translation 15 units to the right.
100
Solve the equation. Cube root of 7x-2= cube root of x+4
What is X=1
100
Solve for "x": y=2x+1
What is x=½y-1/2
100
What are the first ten elements in the periodic table.
What are hydrogen, helium, lithium, beryllium, boron, carbon, nitrogen, oxygen, fluorine, and neon.
200
Describe the range of y=−√(9x-5)-6
What is y≤−6
200
The transformation from √(x-4) to √(x-3)
What is a horizontal translation 1 unit to the left.
200
Solve the equation. Cube root of r+19
What is r=-18
200
Solve for "x": y is equal to 4x squared.
What is +/- ½ root y.
200
The color that a hippo's sweat turns when it is upset.
What is red?
300
Compare g(x)=−√(((5)/(8))x-6)+43 to the parent function
What is Horizontal translation right 6, horizontal stretch factor of 8, reflect over x-axis, vertical translation up 43.
300
The transformation from √(x) to √(-x-5)
What is a reflection in the y-axis and a horizontal translation 5 units to the left.
300
Cube root of 2s+9
What is X=8
300
Find the inverse of f(x)=½ x^(2)-7
What is g(x)=√(2x+14)
300
The Latin word for September.
What is September?
400
Can the domain of a square root function include negative numbers? Can the range include negative numbers? Explain your reasoning.
What is yes; yes; Transformations of the graph of the parent square root function, f(x)=√(x), could result in x or y coordinates that are negative.
400
The transformation from √(x) to √(x-1)+4
What is a horizontal translation 1 unit to the right and a vertical translation 4 units up.
400
The frequency f (in cycles per second) of a string of an electric guitar is given by the equation f1/2l √T/m , where l is the length of the string (in meters), T is the string's tension (in newtons), and m is the string's mass per unit length (in kilograms per meter). The high E string of an electric guitar is 0.64 meter long with a mass per unit length of 0.000401 kilogram per meter.
a) How much tension is required to produce a frequency of about 330 cycles per second.
b) Would you need more or less tension to create the same frequency on a string with greater mass per unit length? Explain.
What is (a) about 71.5N (b) more; To keep the same ratio T/m, if m is increased, the T must be increased also,
400
Find the inverse of "f" of "x" us equal to root "x" plus three.
What is "x" squared minus three, "x" is greater than or equal to zero.
400
The number of cones that a mantis shrimp has.
What is 16
500
Consider the function f(x)=8a√(x)
a)For what value of a will the graph of f be identical to the graph of the parent square root function?
b)For what values of a will the graph of f be a vertical stretch and a reflection of the parent square root function?
c)For what values of a will the graph of f be a vertical shrink and a reflection of the parent square root function?
What is a) a=⅛ b) a>⅛
c) -⅛ < a < 0
500
The transformation from f(x)=√(x) to p(x)=⅓√(x-1)+7
What is a horizontal translation 1 unit to the right, a vertical shrink by a factor of ⅓, and a vertical translation up 7.
500
Your friend says the equation √(2x+5)^2=2x+5 is always true, because after simplifying the left side of the equation, the result is an equation with infinitely many solutions. Is your friend correct? Explain.
What is No; Because √(2x+5)^2 cannot be negative, the equation is true only for x ≥ -5/2, where 2x+5 is nonnegative.