That's unusual: repetition: -1/2 - 1/2.
Did you perhaps mean "Factor -1/2 out of (-1/2)x + 6?
Let's do that. Let's rewrite 6 as (-1/2)(-12).
Then (-1/2)x + 6 (-1/2)x -(1/2)(-12)
-------------- = ------------------------ = x - 1/2
-1/2 -1/2
Hope that's what you wanted. If not, please try to apply a similar approach to solving this particular problem.
Answer:
16
Step-by-step explanation:
To solve a quadratic equation by using the completing the square method, the coefficient of the square term i.e x² must be one (1).
Therefore, we would have to first make the coefficient of x² to be equal to 1.
4x² + 24x + 8 = 32
We would simplify the equation;
4x² + 24x = 32 - 8
4x² + 24x = 24
Divide all through by 4;
x² + 8x = 24
The value to be added = (8/2)² = 4² = 16
x² + 8x + 16 = 8 + 16
x² + 4x + 4x + 16 = 24
x(x + 4) + 4(x + 4) = 24
(x + 4)² = 24
Taking the square root of both sides;
x + 4 = ± 4.9
x = -4 ± 4.9
x = -4 + 4.9 = 0.9
or
x = -4 - 4.9 = - 8.9
<em>Therefore, 16 must be added to solve the quadratic equation by completing the square method. </em>
Answer:
y = -1/2x + 2
Step-by-step explanation:
y = 2x - 3. The slope here is 2. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal, just flip the slope and change the sign.
slope = 2 or 2/1.....flip it.....1/2....change the sign...-1/2. So our perpendicular line will have a slope of -1/2.
y = mx + b
slope(m) = - 1/2
(2,1)....x = 2 and y = 1
now we sub and find b, the y intercept
1 = -1/2(2) + b
1 = -1 + b
1 + 1 = b
2 = b
so ur equation is : y = -1/2x + 2 <===
and u can check it with ur points....(2,1)
y = 2x - 3
1 = 2(2) - 3
1 = 4 - 3
1 = 1 (yep...it checks out)
Answer:
a) The graph shifted to the left by 3 units and up 1 unit.
b) Domain = x ∈ R Range = y ∈ R
(Domain (x) = All real numbers Range (y) = All real numbers)
c) (-4, 0)
d) (0, 2.442)
~Hope this helps! If you have any questions, please let me know!~
Honestly just use desmos or mathyway
