85 > x-63
This is how you would arrange the problem,
isolate the X by adding 63 to 85 to get 148,
Flip the inequality to <
resulting in X<148.
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:
600
Step-by-step explanation:
36 times 18=648 but u need to add o the nearest hundred
Answer:
6x+3
Step-by-step explanation:
If you're just combining like terms this is the correct answer
Answer:
<h2>x = 28</h2>
Step-by-step explanation:
ΔARP and ΔCRD are similar. Therefore the sides are in proportion:
We have:
AR = 10 + x
CR = x
PR = 15 + 42 = 57
DR = 42
Substitute:
<em>cross multiply</em>
<em>use distributive property</em>
<em>subtract 42x from both sides</em>
<em>divide both sides by 15</em>
