R.a.t.e me 1 - 10 i.d.k why
1 answer:
You might be interested in
Option A
The solution set of the equation is {-12, -2}
<h3><u>Solution:</u></h3>Given equation is:
We have to find the solution set of this equation by completing the square
First, rearrange the equation so that only zero will be on the right side:
----- eqn 1
<em><u>The general form of quadratic equation is:</u></em>
where
On comparing the given eqn 1 with general quadratic equation, we get
a = 1
b = 14
c = 24
In completing the square, we take half of coefficient of middle term "x" and then square it. Then we add it on both sides of the equation
So to complete the square, add to both sides of the equation
Take square root on both sides
Now make two equations
x + 7 = + 5 and x + 7 = -5
x = +5 - 7 = -2
x = -2
And,
x + 7 = -5
x = -5 - 7 = -12
x = -12
Therefore, the solution set of the equation is {-12, -2} and option A is correct
The y-intercept of a function is that function's value when x=0.
.. f(0) = 4
.. g(0) = 0
These y-intercepts differ by 4.
If you want them to differ by zero (be the same), you have to move them to the same point.
Selection 1. Moves f(0) down 3 (to 1) and g(0) up 1 (to 1), so moves the y-intercepts to the same point. This is what you want, so this is an appropriate answer selection.
Selection 2. Moves f(0) up 4 (to 8) and g(0) down 1 (to -1). 8 and -1 are not the same point, so this is not the answer.
Selection 3. Moves f(0) down 2 (to 2) and g(0) up 1 (to 1). 2 and 1 are not the same point, so this is not the answer.
Selection 4. Moves f(0) up 3 (to 7) and g(0) down 6 (to -6). 7 and -6 are not the same point, so this is not the answer.
___
The appropriate choice is the 1st one.
f(x) - 3 and
g(x) + 1
.. f(0) = 4
.. g(0) = 0
These y-intercepts differ by 4.
If you want them to differ by zero (be the same), you have to move them to the same point.
Selection 1. Moves f(0) down 3 (to 1) and g(0) up 1 (to 1), so moves the y-intercepts to the same point. This is what you want, so this is an appropriate answer selection.
Selection 2. Moves f(0) up 4 (to 8) and g(0) down 1 (to -1). 8 and -1 are not the same point, so this is not the answer.
Selection 3. Moves f(0) down 2 (to 2) and g(0) up 1 (to 1). 2 and 1 are not the same point, so this is not the answer.
Selection 4. Moves f(0) up 3 (to 7) and g(0) down 6 (to -6). 7 and -6 are not the same point, so this is not the answer.
___
The appropriate choice is the 1st one.
f(x) - 3 and
g(x) + 1