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)
Answer:
Step-by-step explanation:
Let p represent the number of pens Nick sold. Then the revenue is ...
0.10p +0.05(1000 -p) = 74.50
0.05p = 24.50 . . . . . . eliminate parentheses, subtract 50
p = 490 . . . . . . . . . . . . multiply by 20
The number of pencils sold is then ...
pencils = 1000 -490 = 510
Nick's Printing Press sold 490 pens and 510 pencils.
Answer:
a = 3, b = 2
Step-by-step explanation:
It is given that both the polynomials are equal.
Therefore, h(x) = k(x)
