Answer:
17
Step-by-step explanation:
Answer:
The next 3 steps are
Step 4: 
Step 5: 
Step 6: 
Step-by-step explanation:
Given:
Quadratic Equation is
x² + 4x - 6 = 0
To Find:
x = ?
Solution:
Step 1: x2 + 4x = 6
Step 2: x2 + 4x + 4 = 6 + 4
Step 3: (x + 2)2 = 10
Step 4:
Step 5:
Step 6:
The correct question is
<span>
Penelope determined the solutions of the quadratic function by completing the square.f(x) = 4x² + 8x + 1
–1 = 4x² + 8x
–1 = 4(x² + 2x)
–1 + 1 = 4(x² + 2x + 1)
0 = 4(x + 2)²
0 = (x + 2)²
0 = x + 2
–2 = x
What error did Penelope make in her work?
we have that
</span>f(x) = 4x² + 8x + 1
to find the solutions of the quadratic function
let
f(x)=0
4x² + 8x + 1=0
Group terms that contain the same variable, and move the
constant to the opposite side of the equation
(4x² + 8x)=-1
Factor the
leading coefficient
4*(x² + 2x)=-1
Complete the square Remember to balance the equation
by adding the same constants to each side.
4*(x² + 2x+1)=-1+4 --------> ( added 4 to both sides)
Rewrite as perfect squares
4*(x+1)²=3
(x+1)²=3/4--------> (+/-)[x+1]=√3/2
(+)[x+1]=√3/2---> x1=(√3/2)-1----> x1=(√3-2)/2
(-)[x+1]=√3/2----> x2=(-2-√3)/2
therefore
the answer is
<span>
Penelope should have added 4 to both sides instead of adding 1.</span>
Answer:
D. f(x) is shifted up 1 unit to g(x).
Step-by-step explanation:
Just let's look at the y-intercept of each function.
f(0) = 0
g(0) = 1
Also remember that a vertical shift of N units is written as:
g(x) = f(x) + N
where if N is positive, the shift is upwards, and if N is negative, the shift is downwards.
then we can write, for the particular value x = 0
g(0) = f(0) + N
replacing the values
1 = 0 + N
1 = N
Then N is positive, so we have a shift up of one unit.
The correct option is:
D. f(x) is shifted up 1 unit to g(x).
Answer:
It's 39/89
Step-by-step explanation:
cos X = adjacent/ hypotenuse = 39/89
