Which graph shows the solution to this system of inequalities? y ≤ x + 1 y > -3x – 2

The solution in the attached figure

Step-by-step explanation:

we have

----> inequality A

The solution of the inequality A is the shaded area below the solid line

The slope of the solid line is positive

The y-intercept is the point (0,1) (value of y when the value of x is equal to zero)

The x-intercept is the point (-1,0) (value of x when the value of y is equal to zero)

----> inequality B

The solution of the inequality B is the shaded area above the dashed line

The slope of the dashed line is negative

The y-intercept is the point (0,-2) (value of y when the value of x is equal to zero)

The x-intercept is the point (-0.67,0) (value of x when the value of y is equal to zero)

The solution of the system of inequalities is the shaded area between the solid and dashed line

see the attached figure

may i see the picture? it would a lot, xox

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!