Use our brains and what we know
f(x)=a(x-h)²+k
vetex is (h,k)
and a is te leading coefient
if directix is below the focus, then it opens up and a is positive
if directix is above focus, then it opens down and a is negaitve
vertex is in between directix and focus
so
(3,-1) and y=1
-1<1
so directix is above
a is negative
directly in between
distance from -1 to 1 is 2
2/2=1
1 above (3,-1) is (3,0)
vertex is (3,0)
y=a(x-3)²+0
y=a(x-3)²
the only option with a negative 'a' value is B
answer is B
In order to find scientific notation you have to move the decimal (which is located at the end of the number in the case) where it becomes a number less than 10 but greater than 1.
(190,000.) = (1.9)
How ever many times you moved the decimal (in this case 5) will now become the exponent (whether the exponent is positive or negative will tell you whether to move left or right)
(1.90,000.)
(5)
As an end result 190,000 in scientific notation will then equal 1.9x10^5
Answer:
(3,2)
Step-by-step explanation:
2x+5y=16
3x-5y=-1
Subtract 2x from the first equation
5y=16-2x
Substitute the given value of 5y into the equation
3x-(5y)=16
3x-(16-2x)=-1
Solve for x
3x-(16-2x)=-1
3x-16+2x=-1
5x-16=-1
5x=15
x=3
Substitute the given value of x into the equation
3x-5y=-1
3*3-5y=-1
Solve
3*3-5y=-1
9-5y=-1
-5y=-10
y=2
Answer:
see attached
Step-by-step explanation:
The function that tells you the number of dollars you spend on a given number of pounds creates graphs with the coordinates (pounds, dollars).
If you want 1 pound to correspond to G dollars, then a point on the graph will be ...
(1, G)