Answer:
y = -2(x + 1)^2 + 8
Step-by-step explanation:
The equation of a parabola can be written in the form;
y = a(x-h)^2 + k
where a is the multiplier (h,k) is the vertex
so h = -1 and k = 8
Plug in these values
y = a(x + 1)^2 + 8
So to get the value of a, we use the point where the parabola passes through which is the point (1,0)
Simply substitute the values of x and y
0 = a(1 + 1)^2 + 8
0 = a(2)^2 + 8
-8 = 4a
a = -8/4
a = -2
So therefore the equation of the parabola is ;
y = -2(x + 1)^2 + 8
Answer:
x=3
Step-by-step explanation:
Vertical angles are equal so
<A = <B
7x+2 = 4x+11
Subtract 4x from each side
7x+2-4x = 4x+11-4x
3x+2 =11
Subtract 2 from each side
3x+2-2 = 11-2
3x = 9
Divide by 3
3x/3 = 9/3
x=3
Answer:
45/100 = 0.45
Step-by-step explanation:
Divide 9 by 20.
9/20 = 0.45
Now write 36/100 as a decimal.
36/100 = 0.36
Write 45/100 as a decimal: 0.45
Answer: 45/100 = 0.45
Answer:
c
Step-by-step explanation:
Answer:
$150
Step-by-step explanation:
$100 + 100% = $200 in the first year
$200 - 25% = $150 in the second year