Answer:
f(x) =4x² + x - 7
Step-by-step explanation:
f(x) = ax² + bx + c
f(1) = a + b + c
f(-3) = 9a - 3b + c
f(3) = 9a + 3b + c
a + b + c = -2 -----(1)
c = -2-a-b -----(2)
9a - 3b + c = 26 ------(3)
9a + 3b + c = 32 -------(4)
(2)->(3)
9a-3b-2-a-b = 26
8a-4b = 28
4(2a-b) = 28
2a-b = 7 ----(5)
(2)->(4)
9a+3b-2-a-b = 32
8a+2b = 34
2(4a+b) = 34
4a+b = 17 ----(6)
(5)+(6)
6a = 24
a = 4
sub a=4 into(6)
4(4)+b = 17
b = 1
sub a=4,b=1 into (2)
c = -2-4-1
c = -7
Answer:
15.98cm
Step-by-step explanation:
Given data
Volume= 602.88cm^3
Radius= 6cm
The formula for the volume of a cone is
V= 1/3 πr^2h
substitute
602.88= 1/3*3.142*6^2*h
602.88=1/3*3.142*36*h
602.88=37.704*h
h= 602.88/37.704
h= 15.98cm
Hence the height is 15.98cm
Hannah drove 36 miles and needs to dive 24 more miles
"hi" drove 50 miles and "hi" has to drive 10 more miles
"hi" drove further than hannah by 14 miles
Here the change in x is +5 and that in y is +10 (from y= -96 to y= -86). Thus, the slope, (change in y) / (change in x) is m = 10/5, or m = 2.
To get this, you need to divide 15/16 by 1/16. To do it, multiply 15/16 by 16 and you get 15 as your answer.
