Answer:
exponent of x is 33
exponent of y is 0
Step-by-step explanation:
you need to combine all powers (exponents) of x, and all exponents of y separately.
remember : x to the power of a divided by x to the power of b is x to the power of (a-b).
when multiplying, the "-" turns into a "+".
so, we have actually for x the exponent calculation :
8 - 14 -(-39) = 8 - 14 + 39 = 33
so, x³³ remains.
and for the y exponents
-26 -(-5) -(-21) = -26 + 5 + 21 = 0
so, all the y expressions eliminate each other and y⁰ remains.
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:
see the procedure
Step-by-step explanation:
The situation could be
Alice needs to divide 1/4 pound of meat into three equal parts. What is the weight of each part?
so
Divide 1/4 by 3
The weight of each part is 
Answer:
X=30; Z=80; Y=70
Step-by-step explanation:
The straight lines equal 180 and you subtract 180 to 150 and 180 to 100 to get 30 and 80 and the inside of a triangle is 180 and you subtract 30 and 80 to 180 to get 70.
