The vertex point of the function f(x) = 3(x - 2)² + 1 is (2 , 1) ⇒ answer A
Step-by-step explanation:
Any quadratic function represented graphically by a parabola
1. If the coefficient of x² is positive, then the parabola open upward
and its vertex is a minimum point
2. If the coefficient of x² is negative, then the parabola open
downward and its vertex is a maximum point
3. The standard form of the quadratic function is: f(x) = ax² + bx + c
where a, b , c are constants
4. The vertex form of the quadratic function is: f(x) = a(x - h)² + k,
where h , k are the coordinates of its vertex point
∵ The function f(x) = 3(x - 2)² + 1
∵ The f(x) = a(x - h)² + k in the vertex form
∴ a = 3 , h = 2 , k = 1
∵ h , k are the coordinates of the vertex point
∴ The coordinates of the vertex point are (2 , 1)
The vertex point of the function f(x) = 3(x - 2)² + 1 is (2 , 1)
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Answer:
x = 16°
H = 46°
I = 55°
J = 39°
Step-by-step explanation:
Since the whole figure is 180°
Deduct 180 by the numbers mentioned above in order to find x.
180 - 2 - 9 - 9 = 160
3x + 4x + 3x = 10x
10 x = 160
x = 160 ÷ 10 = 16
Since we know what x is, we can find all the angles in the figure.
Angle at H = 3 x 16 - 2 = 46°
Angle at I = 4 x 16 - 9 = 55°
Angle at J = 3 x 16 - 9 = 39°
1. a b c
2. a b c
3. a b c
4. a b c
5. a b c
then she eliminated 1 choice in 1 and 2, say as follows
1. b c
2. a b
3. a b c
4. a b c
5. a b c
Probability of answering correctly the first 2, and at least 2 or the remaining 3 is
P(answering 1,2 and exactly 2 of 3.4.or 5.)+P(answering 1,2 and also 3,4,5 )
P(answering 1,2 and exactly 2 of 3.4.or 5.)=
P(1,2,3,4 correct, 5 wrong)+P(1,2,3,5 correct, 4 wrong)+P(1,2,4,5 correct, 3 wrong)
also P(1,2,3,4 c, 5w)=P(1,2,3,5 c 4w)=P(1,2,4,5 c 3w )
so
P(answering 1,2 and exactly 2 of 3.4.or 5.)=3*P(1,2,3,4)=3*1/2*1/2*1/3*1/3*2/3=1/4*2/9=2/36=1/18
note: P(1 correct)=1/2
P(2 correct)=1/2
P(3 correct)=1/3
P(4 correct)=1/3
P(5 wrong) = 2/3
P(answering 1,2 and also 3,4,5 )=1/2*1/2*1/3*1/3*1/3=1/108
Ans: P= 1/18+1/108=(6+1)/108=7/108
Answer:
Answer:(0,3)Step-by-step explanation:The solution in a set of graphs is where they intersect. In this graph, they intersect at (0,3)
Answer:
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Step-by-step explanation:
