Answer:
<h3>
f(x) = -2
(x - 3)² + 6</h3>
Step-by-step explanation:
The vertex form of the equation of the parabola with vertex (h, k) is:
f(x) = a(x - h)² + k
so the equation of parabola with the vertex (3, 6) is
f(x) = a(x - 3)² + 6
passes through the point (4, 4) means: if x=4 then f(x)=4
4 = a(4 - 3)² + 6
4 -6 = a(1)² + 6 -6
-2 = a
Therefore the equation of parabla is:
<u> f(x) = -2
(x - 3)² + 6 </u>
Answer:
Well it depends on how long they decide to spend painting on one wall
Step-by-step explanation:
Answer:
5, 7 , 7 and 11.
Step-by-step explanation:
I don't quite understand the Romanian but I'm pretty sure you want to find the numbers whose Lowest Common Multiple is 385 and whose product is 2695. Find the factors of 2695:-
5 2695
7 539
7 77
11
2695 = 5*7*7*11.
Lowest common multiple = 5*7*11 = 385.
The key is to find the first term a(1) and the difference d.
in an arithmetic sequence, the nth term is the first term +(n-1)d
the firs three terms: a(1), a(1)+d, a(1)+2d
the next three terms: a(1)+3d, a(1)+4d, a(1)+5d,
a(1) + a(1)+d +a(1)+2d=108
a(1)+3d + a(1)+4d + a(1)+5d=183
subtract the first equation from the second equation: 9d=75, d=75/9=25/3
Plug d=25/3 in the first equation to find a(1): a(1)=83/3
the 11th term is: a(1)+(25/3)(11-1)=83/3 +250/3=111
Please double check my calculation. <span />
90 + 2x + 1 + 5x + 5 = 180
7x + 96 = 180
7x = 84
X = 12
