algebra 2 semester test
solve x^2 + 3x - 5 = 0 by using the quadratic formula
-3 plus or minus the square root of 29 / 2
use the quadratic formula to solve 5x^2 + 3x - 1 = 0
-3 plus or minus the square root of 29 all over 10
(DESIGN) suri is designing a rectangular logo that her business will use in various places, like business cards, posters, banners, and more
12x^2 + 29x + 14
(ELECTRICITY) what is the voltage V of an electronic circuit with a current C of 2 - j and an impedance I of 3 + 2j? use the formula V = CI
8 + j
which is the graph of f(x) = x^2 +4x + 2?
U in top left
solve this system of equations. {y= x^2 - 4x {y= x^2 -4
(1, -3)
which of these equations can be used to solve x^2 - 4x - 12 = 0 by factoring?
(x + 2)(x - 6) = 0
which of the following expressions is the factored form of x^2 + 25?
(x + 5i)(x - 5i)
which of the following expressions is equivalent to x^2 = 36?
(x - 6i)(x + 6i)
simplify square root of -4 times square root of -81
-18
(PROJECTILE) an arrow is launched upwards. the height of the arrow, in meters, after t seconds can be modeled by the function h(t) = -4.9t^2 + 100t + 1. after how many seconds will the arrow first reach an altitude of 100 meters?
1.04 seconds
find the missing term(s) of the expansion of (w + y)^5.
10w^3y^2 + 10w^2y^3
what is the sum of the two polynomials? 7x^3 + 4x^2 + 3x + 12 + 9x^3 - 2x^2 + 5x - 8
16x^3 + 2x^2 + 8x + 4
determine the number of real solutions of the system of equations. {y= 1/2x^2 - 6 {x= (y+4)^2
2
what is the average rate of change of the function in the table over the interval [0,6]?
3/2
what value of c makes x^2 + 36x + c a perfect square ?
324
bill is using synthetic division to divide two polynomials. his work is shown. using bills work, which of the following is the quotient?
3x62 + 17x + 20 - 4/x-3
which of the following is the simplified form of the expression?
5x^4 - 11x^3 + 12x^2 + 10x -17
which expression is equivalent to (6x^3 + 29x^2 + 23x - 34)(x + 3) ^-1
6x^2 + 11x - 10 - 4/x+3
(SHIPPING) miso is creating a basic design for a new box to ship out products for a toy company as shown in the image
6x^3 - 5x^2 - 56x
what is the solution set of -x^2 + 2x > 0?
[0,2]
which is the graph of f(x) = x^2 - 3?
big U in middle (all quadrants)
find the value of c that makes the expression x^2 + 8x + c a perfect square, and the write the expression as a perfect square trinomial
c= 16, x^2 + 8x + 16
which of these graphs represents the solution set of y < x^2 - 2x - 3?
dotted U not shaded in
(RESTAURANT) daniel works at a drive-thru restaurant. he has been keeping track of the number of vehicles that go through the drive-thrust each hour in the tables shown, where x is the number of hours since opening and f(x) represents the total number of vehicles.
f(x) = 0.072x^4 - 0.7904x^2 + 18.8683x - 2.7143
for which function does the range only include values of f(x) that are greater than or equal to zero?
f(x) =x^4
which of the following is the expansion of (j + k)^5
j^5 = 5j^4k + 10j^3k^2 + 10j^2k^3 + 5jk^4 + k^5
which graph shows the solution set of y > x^2 - 4?
shaded in dotted U
andre is dividing 2x^3 + 15x^2 + 34x + 24 by x + 2. after dividing into 2x^3, andre writes 2x^2 as the first term of the quotient and then multiplies 2x^2 by the divisor. what is the next step in the long division?
subtract (2x^3 + 4x^2) from (2x^3 + 15x^2)
use the discrimination to describe the number of solutions of the equation 2x^2 + 5x - 12 = 0
the discriminant is 121, and the equation has two real, rational roots
select the domain and range of the function f(x) = 3x^8.
the domain is all real numbers, and the range is {f(x)/f(x) >0}
(PROJECTILE) a ball is thrown straight up from a height of 4 feet with an initial speed of 12 feet per second. the function f(t) = - 16t^2 + 12t + 4 represents the height of the ball over time which graph represents the function?
tiny in corner, touches 1
select the graph of f(x) = 4x^3 - 48x^2 + 140x
upside down U goes to 120
what are the solutions of x^2 - 4x -12 = 0?
x= -2, x= 6
what are the solutions of x^2 + 16 = 0?
x= plus or minus 4i
use the square root property to solve x^2 + 7 = 10
x= plus or minus square root of 3