in y=mx + b, what does the letters m and b represent?
m=slope / b=y-intercept
Identify the A, B, C's in this equation.
f(x) = 5x^2 - 7 + 2x
a = 5 b = 2 c = -7
What kind of equation is this? and what's the first step?
(x-2)/4=x/14
RATIONAL equation / Cross multiply
Simplify.
(4x^2+5x+4)-(x^2+3x+1)
3x^2+2x+3
Name sin(z) of this triangle
8/17
Which point is the x-intercept in this graph?
(-2,0)
What shape does the graph of a quadratic equation make?
U-shape
What kind of equation is this? What's the first step?
sqrt(3x-2)=x
RADICAL equation / Square both sides
Simplify.
(2x^3+3x^2)+(2x-1)
2x^3+3x^2+2x-1
8 is what percent of 20?
40%
Write an equation that describes this scenario. Use K for the unknown.
"Javier works 35 hours at In-N-Out and earns $21 per hour, and some amount of hours babysitting which pays $30 per hour. He earned $975."
35(21) + (30)K = 975
Identify the A, B, C's in this equation.
f(x) = 5x^2 - 7 + 2x
A = 5 B = 2 C = -7
Find the error in the steps below.
(x-2)/4=x/14
4x = 14(x-2)
4x = 14x-14
14 = 10x
x = 14/10
Error in Step 3
Simplify. (2x-4)(2x+4)
Find angle C (it's not SOH-CAH-TOA or Pythagorean)
65 degrees
What's the slope of a line that is parallel to this equation?
y = 6/5x - 3
6/5
Find the minimum of this equation.
P(x) = 20x2 - 60x + 60
(Round to the nearest hundredths)
15
What should be the first step you should take in this equation?
sqrt(x-2)- 20 = 2
add 20 to both sides
In this graph, g(x) > f(x) at which intervals?
(Name the color)
PINK
What is the area of this triangle?
35
Which inequality symbol is used for this graph? How can you tell?
< (Less than)
Because (1) dotted line and (2) colored below the line
The following equation C(x) = x2 - 90x + 4526 shows the daily cost for Ray's taco stand.
C(x) is the cost in dollars when selling x number of tacos. What's the number of tacos that Ray should sell in order to minimize the cost?
60 tacos
Are both x=5 and x=-1 the solutions to this question?
sqrt(4x+5)=x
5 is real and -1 is extraneous.
In this graph, f(x) < g(x) at which intervals?
(Name the color)
PINK
You are standing on top of a cliff 305 feet above a lake. The measurement of the angle of depression to a boat on the lake is 42˚. How far is the boat from the base of the cliff? Round your answer to the nearest whole number.
338 feet