SAT High School

y=x2+x-2
x+y=1
If(x,y)is a solution of the system of equtions abpve which of the following is possible value of xy?

Answers

Answer 1

Answer:

The equations are :

y=x²+x-2

x+y=1⇒ y= 1-x

multiply(y=1-x) by -1 then add it to y= x²+x-2

you get : x²+x-2+x-1=0⇒ x²+2x-3 = 0

let Δ be the dicriminat of this equation :

a= 1b= 2c= -3

Δ = 2²-4*1*(-3)= 16

so this equation has two solutions

x= (-2-4)/2 = -3  or  x=(-2+4)/2 = 1

then :

if x= -3 y= 4   y= 1+3 if x = 1 y= 0

now the possible solutions are (-3,4) and (1,0)

the possible values of xy are :

-12 : -3*4= -120 : -3*0= 0 4 : 4*1= 4 0 : 1*0=0

so xy could be : 0 or 4 or -12

Related Questions

A 10 kg ball is traveling at the same speed as a 1 kg ball. Compared to the 10 kg ball, the 1 kg ball has A) the same momentum B) 1/100 the momentum C) ten times the momentum D) 1/10 the momentum

Answers

Answer:

I think it is D

Explanation:

Answer:

Answer B I think

Explanation:

Other Questions
To clean the non-image surfaces in her _______ matrix, Scout needs to use a ______.1st blank space options- intaligio- silk screen- relief- etching2nd blank space options- baren - gouge - squeegee- ground where is most of the energy produced in cellular respiration You have used 3 GB of data already this month, and every time you stream your favorite Netflix show you use up another 2 GB of data. Create an equation for the situation above. Taylor Swift purchased airline tickets for her dancers to Las Vegas online. Prior to completing the purchase she was required to initial a statement that said that she had read the applicable rules and restrictions and she agreed with them. The rules were readily available for her review by clicking on an icon. If Taylor initials the statement without reading the rules, is she bound by them? Explain why or why not using the elements of contracts. At what temperature will silver have a resistivity that is two times the resistivity of iron at room temperature? (Assume room temperature is 20 C.) If P(x)= x3 x2+1, Then P(0)+P(1) = Which plot-sequencing device does Crane use in thisexcerpt?O flashbackO foreshadowingO in medias resOchronological order 7.1 A player throws a fair die and simultaneously flips a fair coin. If the coin lands heads, then she wins twice, and if tails, then she wins one-half of the value that appears on the die. Determine her expected winnings. How did first affricans arrive to america Morgan and Dana are partners. The partnership capital for Morgan is $50,000 and for Dana is $60,000. Townsend is admitted as a new partner by investing $40,000 cash. Townsend is given a 25% interest in return for her investment. The amount of the bonus to the old partners is HH Industries has 50 million shares that are currently trading for $4 per share and $200 million worth of debt. The debt is risk free and has and interest rate of 5%, and the expected return of HH stock is 11%. Suppose a strike causes the price of HH stock to fall 25% to $3 per share. The value of the risk free debt is unchanged. Assuming there are no taxes and the risk of HH's assets is unchanged, what happens to HH's equity cost of capital San Martn's strategy to consolidate independence There are zero coupon bonds outstanding that have a YTM of 6.27 percent and mature in 14 years. The bonds have a par value of $10,000. If we assume semiannual compounding, what is the price of the bonds? Please helpDetermine the dependence between the quantities for the given graph.Package DeliveryChargesTotal Cost ($)XWeight of the Package(in pounds) Solve for x. Write both solutions, separated by a comma. 8x^2+7x-1=0 A- y=-2x-4B- y=2x+4 C- y=-2x+4 D- y= 2x-4 1. In your (supported) opinion, what, if any, is the difference between "police community programs" and community policing? ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions. Miller Corporation has a premium bond making semiannual payments. The bond has a coupon rate of 10 percent, a YTM of 8 percent, and 14 years to maturity. The Modigliani Company has a discount bond making semiannual payments. This bond has a coupon rate of 8 percent, a YTM of 10 percent, and also has 14 years to maturity. Both bonds have a par value of $1,000.a. What is the price of each bond today?b. If interest rates remain unchanged, what do you expect the prices of these bonds to be 1 year from now? In 4 years? In 9 years? In 13 years? In 14 years?Price of bond Miller Corporation Bond Modigliani Company Bond1 year $ _________ $ _________ 4 years $ _________ $_________ 9 years $ _________ $_________ 13 years $ _________ $ _________ 14 years $_________ $_________ If a company made a bank deposit on September 30 that did not appear on the bank statement dated September 30, in preparing the September 30 bank reconciliation, the company should: