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