Well it would just be 54 since you just need to move the decimal over by 1.
So 5.4x10= 54
<span>2x-3y=18
when x = 3
2(3) - 3y = 18
6 - 3y = 18
-3y = 12
y = -4
so(3, -4) is the solution
answer
</span><span>(3,-4)</span>
The car's average rate is 43.7 mph. The bicycle's average rate is 12.3 mph.
To get this solution, let the bicycle's average rate be (x) and the car's average rate be (x + 31.4) mph.
Distance= Speed x Time
364 = (x + x + 31.4) 6.5
364 = (2x + 31.4) 6.5
364/6.5 = 2x + 31.4
56 = 2x + 31.4
56 - 31.4 = 2x
24.6 = 2x
24.6/2 = x
12.3 = x
x = 12.3 mph
x+31.4 = 43.7 mph
Do you mean the integer is less than eighteen or do you mean minus 18?
The coordinates of the vertex are (h,k) so we can write:-
f(x) = a(x -2)^2 - 4
now when f(x) = -7 x = 1 so:-
-7 = a(1-2)^2 - 4
-7 = a - 4
a = -3
so the vertex formula is
f(x) = -3(x - 2)^2 - 4
standard form:-
f(x) = -3(x^2 - 4x + 4) - 4
= -3x^2 + 12x - 16
