Desiree is given an aptitude test with 50 multiple-choice questions. for every correct answer, desiree will get 3 points. for every wrong answer, 1 point will be deducted. for every question unanswered, 0.5 point is deducted. desiree did not leave any question unanswered and gets 110 points on the test. if x is the number of questions desiree answered correctly, then the equation that represents the given situation is and the equation will have .

Answer with explanation:

Total number of multiple-choice questions that Desiree has to answer in Aptitude test =50

Points given for every correct Answer= +3

Points deducted for every Incorrect Answer=  -1

For every question unanswered,points Deducted = - 0.5

Total Points Obtained by Desiree after Answering all the questions= 110

Number of Answers that Desiree answered correctly = x questions

Number of Incorrect Answers = (50 -x) questions

Then,the Equation representing above situation

⇒ 3 × x + (-1)× (50-x)=110

⇒3 x-50+x=110equation that represents the given situation

⇒4 x -50 =110

Adding 50, on both sides

⇒ 4 x -50+50=110+50

⇒4 x=160

Dividing both sides by, 4 we get

x=40

Number of correct answers given by Desiree= 40 questions

Number of Incorrect Answers= 50-40=10 Questions

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

hiking down a winding trail.

step-by-step explanation: