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)
Y=377a-327
if it algebra then it’s going to be a formula of y=x+b
Answer:
245/999
Step-by-step explanation:
0.245bar = n
1000 n - n = 245
999n = 245
n = 245/999
Answer:
(B) compress the graph closer to the x-axis
(E) translate the graph to the left
(F) translate the graph up
Step-by-step explanation:
When functions are transformed there are a few simple rules:
- Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
- Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
- Multiplying the function by a number less than 1 compresses it towards the x-axis.
- Multiplying the function by a number greater than 1 stretches it away from the x-axis.
This graph has been multiplied by 1/4 which is less than 1. It will be compressed.
This graph has x added to by 3. It will shift left 3 units.
This graph has the output outside of x added to by 6. It will shift 6 units up. See picture below. The original function is red. The new function is blue.
Answer:
4
Step-by-step explanation:
The factors are:
1, 2,4