Equations
Identify the slope and y-intercept in the given equation.
y = (-2/3)x - 5
y intercept = -5
What is the domain and range of the given function?
y = (-1/2)sqr(x)
X is all real numbers greater than or equal to 0
y is all real numbers less than or equal to 0
What Is the corresponding sides for Sine, Cosine, and Tangent?
Sine = Opposite, Hypotenuse
Cosine = Adjacent, Hypotenuse
Tangent = Opposite, Adjacent
Find the Product:
(2n-6)(2n+6)
4n^2 - 36
What is mutually exclusive?
0.2x^2 - 1.5x + 2.9 = 0
No real solutions. (-0.07)
What is the excluded values in the given equation.
y = x/(2x-8)
X = 4
9√2(4√6)
72√3
Factor the polynomial:
6x^2 + 21x - 90
3(2x-5)(x+6)
Determine whether a survey, an observational study or an experiment is best and explain why.
Jaime finds 50 students half of whom volunteer at a homeless shelter and compares their gpa, extra curricular activists, and involvements in school Clubs.
Observational study. They are being observed And compared without them being affected by the study.
Solve for the equation:
y^2 + 2y -15 = 0
(-5,3)
Find the vertex, axis of symmetry, y-intercept of the graph of the equation.
y = 4x^2 + 16x - 6
Axis of Symmetry: x = -2
Y-intercept = -6
Solve for K:
√(k+1) = k - 1
K = 3
A machine throws a t-shirt into a crowd. It’s height can be calculated using the formula h= -16x^2 +34x + 4. What is the initial height of the machine.
4 units.
Identify the sample and population: A music store asks its customers to submit suggestions for local bands that should play on Friday Nights.
Sample: The customers who submit suggestions
Population: All customers.
16, 24, 15, 17, 22, 16, 18, 24, 17, 13, 25, 21
3.5
y = [2/(x-8)]-3
X = 8
y= -3
If c is the measure of the hypotenuse, find each missing measure Of the triangle.
a = 8, b = x, c = (x+2).
B = 15: C = 17
7.2 feet.
Give the expected value and interpret the results.
Kyle entered a drawing at the county fair in which it costs 5 dollars to enter.
Prize Value > Probability
$20 > 1 in 50
$50 > 1 in 100
$100 > 1 in 250
$250 > 1 in 1000
Interpretation: Kyle would be losing money by entering and the county fair would be making money.
Compare to the parent graph. State the domain and range.
Y = 2 x sqr(x-2)
Domain = x is all real numbers greater than or equal to 2
Range = y is all real numbers greater than or equal to 0
Graph the given piecewise function.
f(x) = (1.) 3x +2 if x > -1 (2.) (-1/2)x - 3 if x <= -1
See picture.
Find the measure of the missing sides. Picture given.
angle J = 22 degrees. JK = 8.3, KL = 3.4
An apple fell 25 feet from a tree. The formula h = -16t^2 + 25 can be used to approximate the number of seconds it will take the apple to hit the ground. If you catch it at 4 feet, how long did the apple drop?
1.14 seconds.
Find the standard deviation for the set of numbers.
110, 123, 147, 119, 153, 142, 113, 143
16.81