Determine numbers are solutions to the inequality. Select all that apply

Solve the simultaneous equations 4x+3y=1 4x^2+3xy+y^2=2

Fantom [35]

Notice that the second equation,

4x ² + 3xy + y ² = 2

can be written as

x (4x + 3y) + y ² = 2

and the first equation says 4x + 3y = 1, so this reduces to

x + y ² = 2

Solve the first equation for x :

4x + 3y = 1

4x = 1 - 3y

x = (1 - 3y)/4

Substitute this into the reduced second equation to get a quadratic equation in y, which happens to be easily factorized and solved:

(1 - 3y)/4 + y ² = 2

1 - 3y + 4y ² = 8

4y ² - 3y - 7 = 0

(4y - 7) (y + 1) = 0

4y - 7 = 0 or y + 1 = 0

y = 7/4 or y = -1

Solve for x :

x = (1 - 3 (7/4))/4 or x = (1 - 3 (-1))/4

x = -17/16 or x = 1

So the two solutions are (x, y) = (-17/16, 7/4) and (x, y) = (1, -1).

8 0

3 years ago

On December 31, 2050, General Industries Corp. (GIC) has just established two joint

siniylev [52]

The combined value available to GIC in terms of the present value as of

December 2050 is $5,050,413.22

What are year 1 cash flows to GIC?

GIC is entitled to 50% of the cash inflows of the joint venture both in UK and South Korea in years 1 and 2

Annual cash flow=(1,000,000*1.02*50%)+(6,000,000,000/1250*50%)

Annual cash flow=$2,910,000

Now the present value of years 1 and 2 cash flows can be determined using the present value formula of a single cash flow provided below:

PV=FV/(1+r)^N

PV=present value=unknown

FV=future cash flows in years 1 and 2

r=discount rate=10%

N=years of cash flow,1 for year and 2 for year 2

PV=2,910,000/(1+10%)^1+2,910,000/(1+10%)^2

PV=$5,050,413.22

Find out more about present value on:brainly.com/question/23741882

#SPJ1

5 0

2 years ago

<img src="https://tex.z-dn.net/?f=%20-%205%20%2B%206" id="TexFormula1" title=" - 5 + 6" alt=" - 5 + 6" align="absmiddle" class="

frez [133]

- 5 + 6 = 6 - 5 = 1

1 + (- 12 ) = 1 - 12 = - 11

- 4 + (-13) = - 4 - 13 = - 17

8 0

3 years ago

PLEASE HELP ME I NEED THIS DONE TODAY PLEASE HELP I KNOW NO ONE WILL BUT IT'S 7TH GRADE MATH PLEASE HELP

Andrei [34K]

Answer:

Overall answer: 10 1/9 - 1 5/18x (Most simplified answer)

Step-by-step explanation:

First you have to do all the Distributive property which the answer would be:

2 1/2 - 1/2x + 3 1/9 + 8/9x + 1/6x - 5/18x + 2 14/18 + 1 13/18

Then you have to find the common demoninator which would be 18

After that you have to put them in the correct order since there is two different terms which would be:

2 9/18 + 3 2/18 + 2 14/18 + 1 13/18 - 9/18x + 16/18x + 3/18x - 5/18x

After that you solve the problem which in the end after solving both terms it ends up as..:

10 2/18 - 1 5/18x

and I think that is as simplified as you can go term wise.

I hope this helps and I hope I didn't make a mistake :D

6 0

3 years ago

HELP PLZZZZZZ!!!!! Geometry

Dmitry [639]

Answer:

all work is shown and pictured

6 0

3 years ago