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:using the graph of a function you can find the value of f (x), all you need to do is locate on the x axis, the value, in this case 3, and we will find f (3), locate the number (3 ) on the x-axis and see what is the value of y that the function takes at that point, that will be the value f (3)
Step-by-step explanation:it’s a
b. The function f(x)=g(x)/h(x) will have a horizontal asymptote only if the degree of g is less than or equal to the degree of h.
Answer: The kinetic energy of Derek's bike is 384.
To find the kinetic energy of an object, we need to know the mass and the velocity of the object. Both of those are already given in the problem. So we can simply use the formula.
The formula for kinetic energy is KE =0.5(m)v^2. All we need to do is input the know variables and evaluate.
KE = 0.5 (12) (8^2)
KE = 0.5(12)(64)
KE = 384
Answer:
0.38 or 38%
Step-by-step explanation:
Because I subtracted 17% from 55% and got 0.38 Then, I turned the decimal 0.38 into the percentage 38%.
Mark randomly chose a snack, ate it, and
then randomly chose another snack. What is
the probability that Mark chose a bag of
crackers and then chose a bag of chocolate?
