Here's one way--- 1 half dollar, 2 quarters, 10 pennies
We have that
y=x²----> equation 1<span>
y=x+2-----> equation 2
multiply equation 1 by -1
-y=-x</span>²
add equation 1 and equation 2
-y=-x²
y=x+2
------------
0=-x²+x+2-------------> -x²+x+2=0-----> x²-x-2=0
Group terms that contain the same variable, and move the
constant to the opposite side of the equation
(x²-x)=2
<span>Complete
the square. Remember to balance the equation by adding the same constants
to each side
</span>(x²-x+0.5²)=2+0.5²
Rewrite as perfect squares
(x-0.5)²=2+0.5²
(x-0.5)²=2.25-----> (x-0.5)=(+/-)√2.25-----> (x-0.5)=(+/-)1.5
x1=1.5+0.5-----> x1=2
x2=-1.5+0.5---- > x2=-1
for x=2
y=x²----> y=2²----> y=4
the point is (2,4)
for x=-1
y=x²----> y=(-1)²---> y=1
the point is (-1,1)
the answer isthe solution of the system are the points(2,4) and (-1,1)
Answer:
-5.5
Step-by-step explanation:
1. -3.1 + (-7.2) + 4.8
remove parentheses
add/subtract the numbers.
-3.1-7.2+4.8 = -5.5
Answer:
The final answers are n = 0 or n = -1/4.
Step-by-step explanation:
Given the equation is -5n(4n + 1) = 0.
The Zero-Product property says "if x*y=0, then x=0 or n=0 or both."
we have -5n(4n + 1) = 0.
We know -5 is not equal to 0.
It means n = 0 or 4n+1 = 0.
n = 0 or 4n = -1.
n = 0 or n = -1/4
So, final answers are n = 0 or n = -1/4.
1. -44- 44
2. -58-26
3 -80 - 4