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y=x^2+7x-8     this is a parabola that turns upward

The x coordinate of the vertex is = -7/2(1)  = -7/2 = -3.5

The y coordinate of the vertex is  (-3.5)^2 + 7(-3.5) - 8  = -81/4 = -20.25

Factoring to find the roots, we have...  (x -1) (x + 8)  = 0   setting each factor to 0  rhe roots are  x= 1 and x = -8

Here's the graph..........https://www.desmos.com/calculator/jibcea03br

I convert it and i got 0.006433403

sqrt12(1.08) -1

thanks for help

What is it?

-1/2  - 5/4      get a common denominator  of 4

-2/4  - 5/4  =

-7/4

tan = y/x

We need to find r  which =  sqrt(x^2 + y^2)  = sqrt(8^2 + 15^2)  = sqrt(289)  = 17

So

sin (j)   = y / r   =  15 / 17

(1/3) 249  = 80

(1/6) 240  = 40

(1/2) 240  = 120

OK. I may have figured out your mistake. 8% is an annual effective rate. But, you must convert it to a monthly compoud rate, which is =7.720836132/12=.643403011, which is your monthly rate. Try it out and see if it makes any difference. Good luck.

We need 3 times as much of each....so......

2 + 1/3 = 7/3    and   1 + 1/4   = 5/4     and we have

3(7/3)  = 7 cups of flour

3(5/4)   = 15/4  = 3 + 3/4   cups of sugar

ty!

y   =  1*(x - 0)^2  + 3    →    =  x^2 + 3

$24000 * (1/32)  = $750

See your answer below.

2/3x-4=-2

x=3

We can solve this with a proportion.....we have....

6/1.5  = h /7      where h is the height of the flagpole

cross-multiply

42  = 1.5 h     divide both sides by 1.5

42/1.5 = h = 28 ft

Thanks!

I know I set it up correctly i must be messing up with rounding the nummbers. I've gotten tow different results for first question 452.62 and 462,63

Well, 1/32=.03125 X $24,000=$750.00 commission

225+30c=50     subtract  225 from each side

30c = -175      divide both sides by 30

c = -175/30   =   -35 / 6

OK. I know what you are trying to figure out. It is rather complicated, but I got very close result to the Professor, which is as follows:

First payment I got is:458.35 Euros

Last payment I got is:478.83 Euros

Now, the first payment is right on the money. The last payment is about the same. The difference of a few pennies is due to rounding off errors. Good luck.

These order as

  sqrt(7)/2,  2,  sqrt(8)       from least to greatest

(x-3)^2=x^2+(-3)^2    simplify and rearrange

x^2 - 6x + 9 - x^2  - 9  = 0

-6x  = 0     divide both sides by -6

x = 0

1 / [2b - 2]   =  -1 / 4      cross-multiply

2 - 2b  = 4      rearrange

-2  = 2b    divide both sides by 2

b = -1

[[(-4) * (25) / ((-1) - (-26))]^2 * [(-2)^3 - (-18)] / (-4) * (2) ^2] / (-20) + (-30) * (-2) - (4) * (5) - [-50/-5]  =

[-100/25]^2  * [ -8 + 18] / (-4) *(4)] / (-20)   + (- 30)(-2)  - (20) - [10]

[-4]^2 * [10/ (-4) *(4) ]/(-20) + 60  -20 - 10

16 * [(-10/4)*(4)]/(-20)  + 60  -20  -10

16 [(-10)/(-20)]  + 60 - 20 - 10 =

16[1/2]  + 30  =

8  + 30  =

38

I am getting the same result like you. Professor gave us some problems and it only gives the result not how to get there.

So here is the problem... its in german, so Im doing aproximate translation.

For your studies you obtained 15,000€, from that  you would like to pay running costs for the next 3 years.

Withdrawals are adjusted for monthly inflation rate of 0.125%

Yearly interest rate is 8%

What is the first and the last rate?

Suggested answers from the professor are 458,32€ and 478,80€

what is 121 divid it by 13=9 4/13

Hope you're having fun!

P.S I changed my mind about deleting my account.