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)
If 3/5 are action and 1/4 are comedy then:
(3/5)+(1/4) are action or comedy
To add/subtract fractions you need a common denominator...
(3/5)*(4/4)+(1/4)(5/5)
(12/20)+(5/20)
17/20
So 17/20 (85%) of his collection are action or comedy not 4/9...
Answer:
56
Step-by-step explanation:
By tracing the lines on the tree diagram, we see the probability of both being red is 0.5 × 0.6 = 0.3.
The probability of both being blue is 0.5 × 0.4 = 0.2.
So we would expect to get both blue 2/3 of the times we get both red.
X = 2/3 (84)
X = 56
255 litres for 340 km
for 1 km = 255/340 litres
for 100 km = 255/340 * 100 = 75 litres
