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:
77 Sq m
Step-by-step explanation:
Area of the shaded shape = Area of the rectangle with dimensions 14 m by 8m - Area of rectangle with dimensions ( 14 - 5 - 2=7) 7m by 5m.
= 14*8 - 7*5
= 112 - 35
= 77 Sq m
Alright, lets get started.
We could use sine law to find the remaining angle.


Plugging the value of sin 64


Cross multiplying
sin S = 0.8189
Taking inverse on both side

S = 55° : Answer
Hope it will help :)
Answer:
$5
Step-by-step explanation:
$5 appeared more in the prices
#3). $124.16 will be in amount of deposit
#4) new balance, b = original balance + deposits - payments
=》 b =$782.14+$124.16 - ($450+$58.25)
=》 b = $398.05