6x+19y=-10 in slope- intercept form is y=-6/19x-10/19
4.221 is greater because of the .221
.022 see
Hello :
f(x) = sin²(x) +cos(x)
the dirivate is : f'(x) = 2sin(x) cos(x) -sin(x) because :
( sin²(x) )' = 2sin(x) cos(x) and (cos(x))' = - sin(x)
f'(x) = 0 : sin(x) (2cos(x) - 1) = 0
sin(x) = 0 : x = k <span>π k in Z
</span>2cos(x) - 1 =0 : 2cos(x) =1
cos(x) = 1/2 = cos( π /3)
x = π /3 +2k π or x = - π /3 +2k π
in intervall : <span> <span>[0
, 2π] :
k=0 : x= 0 f(0) = 1 ( </span></span>minimum<span>)
</span>k=1 : x = π f(π) = -1 (<span>minimum)
x= </span> π /3 f ( π /3 ) = 1.25 ( <span>maximum)</span>
Answer
A. 196,608
Step-by-step explanation:
-12/3 = -4
48 / -12 = -4 and -192 / 48 = -4
This is a geometric sequence with common ratio -4.
an = a1 r^(n -1) so:-
9th term (a9) = 3*(-4)^(9-1)
= 196,608
I assume the carpet has the shape of a rectangle.
Let L = length
Let W = width
The area is 192 ft^2.
LW = 192
The perimeter is 56 ft.
2L + 2W = 56
We have a system of 2 equation in 2 unknowns.
LW = 1922L + 2W = 56
Divide the second equation by 2:
L + W = 28
Subtract W from both sides.
L = 28 - W
Substitute 28 - W for L in the first equation.
LW = 192
(28 - W)W = 192
28W - W^2 = 192
W^2 - 28W + 192 = 0
(W - 12)(W - 16) = 0
W - 12 = 0 or W - 16 = 0
W = 12 or W = 16
L = 28 - W
For W = 12: L = 28 - 12 = 16
For W = 16" L = 28 - 16 = 12
We get: length = 16 and width = 12
or: length = 12 and width = 16
Either answer is correct, but since people think the length is longer than the width, answer with a longer length than the width.
Answer: Length = 16 ft Width = 12 ft
