Answer:
y = 2 ( x − 1 ) ^ 2 + 2
Step-by-step explanation:
y = a ( x − h ) ^ 2 + k
where vertex is (h,k) = (1,2)
h=1, k=2
y = a ( x − 1 ) ^ 2 + 2
sub ( 3,10)
10 = a (3 - 1)^2 + 2
a=2
y = 2 ( x − 1 ) ^ 2 + 2
Answer:
c) 1
Step-by-step explanation:
=> ax+y = 5
<u><em>Putting x =2, y =3</em></u>
=> a(2)+3 = 5
=> 2a = 5-3
=> 2a = 2
<em>Dividing both sides by 2</em>
=> a = 1
Answer:
12
Step-by-step explanation:
For the top triangle, he has 3 options
3C1 = 3
For the middle one, he can't use the top triangle's colour, so 2 options
2C1 = 2
For the ones on sides of the middle one, 2 options each
2C1 × 2C1 = 4
3 × 2 × 2 × 2 = 24
These include all three outer ones same, so subtract 3
Also, these include 2 of the three outer ones same, so subtract:
3C2 × 3 = 9
24 - 3 - 9 = 12
Answer:
Step-by-step explanation:
A_{n+1}=14*A_{n}
A_{1}=8
A_{1+1}=14×8=112
A_{2}=112
A_{3}=14*A_{2}=14×112=1568
A_{4}=14*A_{3}=14×1568=21952
A_{5}=14*A_{4}=14×21952=307328
Answer:
x = 38
y = 41
z = 123
Step-by-step explanation:
x + y + z = =202
y = x + 3
z = 3y = 3(x + 3) = 3x + 9
<u>x</u> + <u>y</u> + <u>z</u> = <u>x</u> + <u>x + 3</u> + <u>3x + 9</u> = 5x + 12 = 202
5x + 12 = 202
5x = 190
x = 38
y = x + 3 = 41
z = 3y = 123
