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$25.00 alegbra 2

  • From Mathematics: Algebra
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  • Due on Nov. 14, 2008
  • Asked on Nov. 12, 2008 at 10:46:34AM
Q:
2. The length of a rectangle is twice the width. the area 800 yd^2. Find the length and width.
a. The length is
b. The width is
3.Give exact and approximate solutions to three decimal places.
x^2+3x-5=0
a. The exact solutions?
b.The approximate solutions to 3 decimal places are?
4. A student opens a mathematics book to two facing pages. The product of the page numberis 1482.
Find the page number?
6. Find the vertex, the line of symmetry, the max or min value of the quadratic function, and graph the function.
f(x)=-2x^2+2x+8
a. The x-coordinate of the vertex is?
b. The y-coordinate of the vertex is?
c. The equation of the line of symmetry is?
d. The max/min of f(x) is?
e. The value, f(1/2)=17/2 is ? min or max?
7. f(x)=(x+1)^2-3
a. the vertex (type the order of the pair)
b. The min value is f(x)
8.Solve 3x^2-5x-13=0
a. What are the solutions?
b. Find the x-intercepts?
c. Whate are the y-interecepts?
9. Solve by completing the sqaure?
x^2+5x-36=0
The solution is x=
10.Write a quadratic equation having the given numbers as solutions.
-6 and -2
a. The quadratic equation is
11. Determine the nature of the solutions of the equation
y^2= 2/5y + 4/7
a. The equation has two real solutions.
b. The equation has two non-real solutions.
c. The equation has one real solution.
12.Solution for x
x^2+72=12x
13. Solve the formula for the given letter. Assume all variables respresent nonnegative numbers.
a^2+ r^2=j^2 , for a
14. Solve 5x^2=15
a. What are the solutions?
b. Find the x-intercept of f(x)=5x^2-15
15. Find the label the vertex and the line of symmetry.
f(x)=-3(x+3)^2
a. The vertex is
(Type an ordered pair)
b.The equation of the line of symmetry is x=
16.Give exact and appromimate solution to three decimal places.
(X-6)^2=18
A. What are the exacct solutions?
b. What are the approximate solutions?
17. Find and label the vertex and the line of symmetry.
f(x)= -1/5 x^2
a. The vertex is
b. The equation of the line of symmetry is x=
18. Find the x-intercepts and y-intercepts
f(x)=-x^2+3x+18
A. the x-coordinates of the intercepts are x=
b. The y-intercepts is (0,_)
19. Determine the nature of the solutions of the eqaution.
x^2+9=0
Choose the nature of the solutions of the equaiton.
a. 2 imaginary solutions
b 2 real solutions
c. 1 real solutions
20. Find the vertex the line of symmetry the max or min value of the quadratic function.
f(x)=2x^2-16x+34
a. The vertex is
(type pair)
b. Choose the correct lien of symmetry
a. x=4
b y=-2
c y=2
d x=-4

c. The max/min of f(x) is
d.Is the value, f(4)=2 a minimum or a maximum?
21. Give exact and approximate solutions to three decimal places.
y^2-6y+9=4
A. what are the exact solutions? y=
22.A farmer decides to enclose a recangler garden using the side of a barn as one side of the rectangle. What is the maximum area the farmer can enclose with 100ft of fence? What should the dimensions of the garden be to give this area?
a. The amximum area that the farmer can enclose with 100ft of fence is____ sqft.
b. The dimensions of the garden to give this area is 50 ft by ____ ft.
23.Find the vertex, the line of symmetry and the max or min value of f(x)
f(x)=-(x+5)^2-8
a. the vertex is___
b. the line symmetry is x=____
c. the max/min value of f(x) is?_____
d. the value f(-5)=-8 is?
max or min
b. What are the x-intercepts?
 


   
   
   
   
 
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  • Posted on Nov 12, 2008 at 12:45:17PM
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Preview: ... l solutions. a1=sqrt(0^2-4(r^2-j^2))/2 <br> a2=sqrt(0^2-4(r^2-j^2))/2<br>14.<br> a. 5x^2=15 => x^2=3 =>x1=sqrt(3)=1.730 or x2=-sqrt(3)=-1.732<br> b. y=0 >f(x)=5x^2-15=0 => x^2=3 => x1=sqrt(3)=1.730 x must be positive<br>15.<br> a. The vertex is (-3) (x+3)^2=(-3) x^2-18 x-27<br> deriv((-3) x^2-18 x-27)=(-6) x-18=0=>x=-3<br> y=(-3) (-3)^2-18 (-3)-27=0 => (-3,0)<br>b.The equation of the line of symmetry is x=-3<br>16(X-6)^2=18 => X^2-12 X+18=0 <br>a.X1=3 sqrt(2)+6 X2=6-3 sqrt(2)<br>b. X1=3 sqrt(2)+6=10.242 X2=6-3 sqrt(2)=1.757<br><br>17.-1/5 x^2<br>a. deriv((-1) ...

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  • Posted on Nov 13, 2008 at 10:47:09PM
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