Question 3(multiple choice worth 4 points)

(08.03)solve the system of equations and choose the correct answer from the list of options.

2x + y = −4
y = 3x + 2

negative 6 over five comma negative 8 over 5
negative 8 over 5 comma negative 6 over 5
negative 5 over 6 comma negative 11 over 5
negative 11 over 5 comma negative 6 over 5

The solution of the system of equations is:

                          negative 6 over 5 comma negative 8 over 5.

We are given a system of linear equations as:

                          2x + y = −4 ------------(1)

                         y = 3x + 2------------(2)

Now we solve the system of equations using the substitution method.

i.e. we substitute the value of y in terms of x from equation (2) in equation (1) and find the value of x and y.

i.e.

2x+3x+2= -4

i.e.  5x+2= -4

i.e.  5x= -6

i.e.  x= -6/5

Similarly, on putting this value of x in equation (2) we obtain:

y= -8/5

               Hence, the solution is:

15%

step-by-step explanation:

use the table and count the number of guesses that has two correct answers.

the following are two correct answers

10010, 01100, 11000

a total of 3 numbers having 2 correct guesses out of 20 questions.

probability of getting 2 correct guesses = the number of questions getting 2 correct answers / total number of questions.

= 3/20

to convert it into percent multiply by 100, we get

= 3/20 * 100

= 15%

the answer is 15%

you.

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500