+ 72x +105 square feet - arrowhead high school...chapter 6 jeopardy review game answer back suppose...

Chapter 6 Jeopardy Review Game

BackAnswer

Back

(6x + 15)(2x + 7)= 12x2 + 42x + 30x + 105

= 12x2 + 72x +105 square feet


BackAnswer

Back

(8x 1)(5x + 1) (3x + 1)(4x 1)= (40x2 + 8x 5x 1) (12x2 3x + 4x 1)= (40x2 + 3x 1) (12x2 + x 1)= 40x2 + 3x 1 12x2 x + 1

28x2 + 2x square units


BackAnswer

Expand & Simplify( 9d + 4e )2

Back

(9d + 4e)2= (9d + 4e)(9d + 4e)= 81d2 + 36de + 36de + 16e2

81d2 + 72de + 16e2


BackAnswer

Expand & Simplify1( 5x - 10)2 - ( 2x + 9 )25

Back

0.2(5x 10)(5x 10) (2x + 9)(2x + 9)= 0.2(25x2 50x 50x + 100) (4x2 + 18x + 18x + 81)= 0.2(25x2 100x + 100) (4x2 + 36x + 81)= 5x2 20x + 20 4x2 36x 81

x2 56x 61


BackAnswer

Expand & Simplify( 2x + 5 )2 - ( 3x - 2 )2

Back

(2x + 5)2 (3x 2)2= (2x + 5)(2x + 5) (3x 2)(3x 2)= (4x2 + 10x + 10x + 25) (9x2 6x 6x + 4)= (4x2 + 20x + 25) (9x2 12x + 4)= 4x2 + 20x + 25 9x2 + 12x 4

5x2 + 32x + 21


Back

Answer

Let h = -4.9t2 + 10t + 20 represents the height h of a ball in meters t

seconds after being thrown. How high above the ground is the ball 2.5 seconds after being launched?

Back

h = -4.9(2.5)2 + 10(2.5) + 20

14.375 meters


Back

Answer

Suppose a ball is thrown upward from a height of 4.5 feet with an initial velocity of 21 ft/sec. Write an equation relating the time t and

height h of the ball.(equation is of the form:h(t) = -1/2gt2 + vot + ho)

Back

h = (-1/2)gt2+ vot + ho

h = (-1/2)(32)t2 + (21)t + 4.5

h = -16t2 + 21t + 4.5


BackAnswer

Let h = -4.9t2 + 10t + 20 represents the height h of a ball in meters t seconds after being thrown. At what time will the ball hit the ground? Round your answer to the nearest hundredth.

Back

3.28 seconds after launch

cannot have a negative number of seconds so we disregard this answer.


Back

Answer

Solve the following equation:

3 = 5p + 2p2

Back

2p2 + 5p - 3 = 0

p = 1/2 and -3


BackAnswer

Use the discriminant to determine how many solutions

9 + 4y2 - 12y = 0 has.

Back

4y2 - 12y + 9 = 0

b2 - 4ac = discriminant.

b2 - 4ac = (-12)2 - 4(4)(9) = 144 - 144 = 0

This means that there isone real number solution.


BackAnswer

Graph the following parabola.

y - 2 = ( x + 3)2

Back

x y654321 0

116323611

Vertex


BackAnswer

y + 4 = 3 ( x - 1 )2

Rewrite the equation above in standard form.

Back

y + 4 = 3(x - 1)2

y + 4 = 3(x - 1)(x - 1)y + 4 = 3(x2 - x - x + 1)y + 4 = 3(x2 - 2x + 1)y + 4 = 3x2 - 6x + 3

y = 3x2 - 6x - 1


BackAnswer

Consider the parabola represented by the equation y - 7 = 3 ( x - 6 )2.

Find the vertex and axis of symmetry for the parabola.

Back

y - k = a(x - h)2 is the vertex form of a parabolawhere (h, k) is the vertex. The axis of symmetry is the vertical line that passes through the vertex. It

is ALWAYS x = h.

y - 7 = 3(x - 6)2

h = 6 and k = 7

Vertex: ( 6, 7 ) Axis of symmetry: x = 6


BackAnswer

y=-7x2 is translated 3 units right and 12 units down.

What is the equation for its image in vertex form?

Back

Vertex form is y - k = a(x - h)2. h is the number of units translated to the right and k is the number of

units translated up.

3 units right and 12 units down is represented by T3, -12.h = 3 and k = -12

y + 12 = -7 ( x - 3 )2


BackAnswer

Rewrite the following equation in vertex form by completing the square.

y = x2 + 10x + 22

Back

y = x2 + 10x + 22y - 22 = x2 + 10xy - 22 + 25 = x2 + 10x + 25y + 3 = (x + 5)2

y + 3 = (x + 5)2


BackAnswer

Simplify (4 + i)(9 - i).Give your answer

in a + bi form.

Back

(4 + i)(9 - i)36 - 4i + 9i - i2

36 + 5i - i2

36 + 5i - (-1)36 + 5i + 1

37 + 5i


BackAnswer

Simplify √-16 √-49.Give your answer

in a + bi form.

Back

(4i)(7i)28i2

28(-1)

-28 + 0i or -28


BackAnswer

Solve for p

2p - 8 = 23

Back p = 15 or p = 9


BackAnswer

Simplify (8 + i) - (12 - 6i).Give your answer

in a + bi form.

Back

(8 + i) - (12 - 6i)8 + i - 12 + 6i8 - 12 + i + 6i

-4 + 7i


BackAnswer

Solve the following equation. Leave your answer as an

exact value (no decimals).

-6t2 - 2 = -50

Back

t = ± √8

6t2 2 = 506t2 = 48t2 = 8


Simplify the following expression. Write your answer in a + bi form.

5 7i1 i

5 7i1 i

Simplify by multiplying both numerator and denominator by the complex conjugate of the denominator.

+ 72x +105 square feet - arrowhead high school...chapter 6 jeopardy review game answer back suppose...

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