Find the solutions to the following linear-quadratic systems algebraically. select the ordered pair that is one of the correct solutions from among the choices below.
y = x² +3x + 8
y = 2x + 10

(-2, 6)
(0, 8)
(0,10)
(2, 14)

(-2, 6)

Step-by-step explanation:

we have

----> equation A

----> equation B

equate equation A and equation B

The formula to solve a quadratic equation of the form

is equal to

in this problem we have

so

substitute in the formula

Find the values of y

For x=1

For x=-2

therefore

The solutions are (1,12) and (-2,6)

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.