Answer:
The vertex is (2,1)
Step-by-step explanation:
ƒ(x) = –x^2 + 4x – 3
Factor out the negative
= -(x^2 -4x+3)
Factor
What 2 numbers multiply to +3 and add to -4
-3*-1 = 3
-3+-1 = -4
f(x) = -( x-3)(x-1)
Find the zeros
0 = -( x-3)(x-1)
0 = x-3 0 = x-1
x=3 x=1
The x value of the vertex is 1/2 way between the two zeros
(3+1)/2 = 4/2 =2
To find the y value, substitute x=2 in
f(2) = -( 2-3)(2-1)
=-(-1)(1) = 1
The vertex is (2,1)
2 inches : 6 feet is the same as 1 inch : 3 feet
It could also be written:
1 inch : 36 inches
1 foot : 36 feet
Answer:
Step-by-step explanation:
here you go!!
Answer:
Kelly will still have more money than Luis
Kelly will have 25% more
Step-by-step explanation:
Let x represent the amount of money Kelly has and y, Luis
Luis has $40
and Kelly has 50% more money than Luis
Therefore, Kelly has;
50% of $40 + $40
= 0.5*40 + 40
= $60
If Luis gets $8 more, Luis will have;
$8 + $40 = $48
since Luis' $48 is less than Kelly's $60, Kelly will still have more money than Luis
Difference in their money = $60 - $48 = $12
Therefore, Kelly will have;
12/48 * 100 more than Luis
= 25% more
