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# 1) Find the x and y intercepts f(x) 25x+30x+9 2) The width

1) Find the x and y intercepts f(x)=25x+30x+9
2) The width of a rectangle is 3ft. less than the length. The area is 4ft^2. Find the length and width
3) A student opens a mathematics book to two facing pages. The product os the page number 2550. Find the first page and second page
4) f(x)=4x^2-32x+69 find the vertex
5) a) solve 4x^2+9-0 b) Find the intercepts of f(x)=4x^2+9 What are the solution and the x-intercepts
6) solve by completing the square x^2+3x-4=0
7) solve for x x^2-x+11=0
8) Give exact and approximate solutions to three decimal places x^2+14x+49=1
9) The number of ticket sold each day for an upcoming performance of Handel’s Messiah is given by N(x)= -0.5x^2+14x+12, where x is the number of days since the concert was first announced. When will daily ticket sales peak and how many tickets will be sold that day?
10) Give exact and approximate solutions to three decimal places x^2+5x-3=0
11) solve a) 3x+x(x-1)-0 b) find the x-intercepts of f(x)=3x+x(x-1)

abozer :

Hi,

JACUSTOMER-u5wfu27d- :

hello

abozer :

Is the function in your first question f(x) = 25x + 30x + 9?

JACUSTOMER-u5wfu27d- :

f(x)=25x^2 +30 + 9

abozer :

ok.

abozer :

x intercepts: (-3/5, 0)

abozer :

y-intercept: (0, 9)

abozer :

2)

abozer :

length = 4, width = 1

abozer :

3)

abozer :

first page = 50, second page = 51

abozer :

4)

abozer :

vertex = (4, 5)

abozer :

5)

JACUSTOMER-u5wfu27d- :

for number 5 it is 4x^2+9=0

abozer :

a)

JACUSTOMER-u5wfu27d- :

yes'

abozer :

a) There is no real solution

abozer :

b) no x-intercept

abozer :

6)

abozer :

x = -4, 1

abozer :

7)

abozer :

x = (1 - squareroot(43))/2, (1 - squareroot(43))/2

abozer :

8)

abozer :

Exact solutions: x = -8, -6

abozer :

Approximate solutions are the same x = -8, -6

abozer :

Actually no approximate solutions because it is already exact.

abozer :

9)

abozer :

x = 14

abozer :

Tickets sold = 110

abozer :

10)

abozer :

Exact solutions: x = (-5 - squareroot(37))/2, (-5 + squareroot(37))/2

abozer :

Approximate solutions: x = -5.541, 0.541

abozer :

11)

abozer :

a) x = -2, 0

abozer :

b) x-intercepts = (-2, 0), (0, 0)

abozer :

That's all.

JACUSTOMER-u5wfu27d- :

I am not sure how to write number 7

abozer :

hold on.

abozer :

I will show.

abozer :
abozer :

like this.

JACUSTOMER-u5wfu27d- :

what about number 10 how to write it

abozer :
abozer :

Do you have any questions

JACUSTOMER-u5wfu27d- :

on number 5 i do not have the option of no solution

abozer :

Are you allowed to use complex number "i" ?

JACUSTOMER-u5wfu27d- :

yes

abozer :

ok.

abozer :

x =

abozer :
abozer :

There are no real x-intercepts.

abozer :

do you have any questions.

JACUSTOMER-u5wfu27d- :

x^2+15=0 Is it only 1 real solution

abozer :

The solution is not real.

JACUSTOMER-u5wfu27d- :

abozer :

Two real solutions.

abozer :

t = 0

abozer :

t = 9/4

JACUSTOMER-u5wfu27d- :

I only have the option of 1 real solution, 2 real solution, or 2 imaginary solutions

abozer :

For which question?

JACUSTOMER-u5wfu27d- :

x^2+15=0

abozer :

2 imaginary solutions

JACUSTOMER-u5wfu27d- :

You are the best, XXXXX XXXXX so much, I would have had about half wrong.

abozer :

You're Welcome.

abozer :

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abozer :

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