4 years ago

PLEAS HELP ME I BEG ONYL 4 QUESTIONS PLEASE PLEASE

1 answer:

3 0

It works well to put both equations in the same form. Here, we use "general form". Any common factors are removed from the numbers. The leading coefficient is positive.

The equations are inconsistent if the x and y coefficients have the same ratio but the constants are different. They are consistent otherwise.

1. 8x +y +4 = 0
.. 8x +y +4 = 0
"consistent" . . . . . and also "dependent"

2. 7x +2y +6 = 0
.. 7x +2y +1 = 0
"inconsistent"

3. x +y +3 = 0
.. x +y +3 = 0
"consistent" . . . . . and also "dependent"

4. x -2y -7 = 0
.. x +3y -7 = 0
"consistent" . . . . . (x, y) = (7, 0)

5. 2x -y +5 = 0
.. 2x -y -2 = 0
"inconsistent"

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David, a platform diver, dives into the pool during practice. The height of David above the water at any given time, s, can be m

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Check the pictures below.

if we knew the roots/solutions of the equation, we can set h(s) = 0 and solve for "s" to find out how many seconds is it when the height is 0.

if you notice in the first picture, when f(x) = 0, is when the parabola hits a root/solution or the ground, for David he'll be hitting the water surface, and the equation that has both of those roots/solutions conspicuous is

h(s) = -4.9(s - 2)(s + 1).