Solve this system of equations: y = x2 – 3x + 12 y = –2x + 14 4. substitute the values of x, –1 and 2, into either original equation to solve for the values of y. what are the solutions of the system of equations? one solution is (–1, ). the second solution (2, ).

One solution is (–1,  ⇒ 16).

The second solution (2,  ⇒ 10). your welcome 

(-1, 16) and (2, 10)

Step-by-step explanation:

Substituting -1 in place of x in the first equation, we have

y = (-1)²-3(-1)+12 = 1--3+12 = 1+3+12 = 4+12 = 16.

Substituting -1 in place of x in the second equation gives us

y=-2(-1)+14 = 2+14 = 16

This makes the first ordered pair (-1, 16).

Substituting 2 in place of x in the first equation gives us

y=2²-3(2)+12 = 4-6+12 = -2+12 = 10

Substituting 2 in place of x in the second equation gives us

y=-2(2)+14 = -4+14 = 10

This means the ordered pair (2, 10) is the second solution.

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true

127

whether it's diameter, or radius, i believe if i remember correctly from school, every amount has to always add up to 180. so if you take 53, and starting adding, long story short, taking 127 and adding it to 53, gives you 180.