The zero product property tells us that if we have
xy=0, then we can assume that x and y both equal 0
so
(4k+5)(k+7)=0
we can assume that 4k+5=0 and k+7=0
so
4k+5=0
minus 5 both sides
4k=-5
divide both sides by 4
k=-5/4
k+7=0
minus 7 both sides
k=-7
k=-5/4 or -7
Answer:
263,93802
Step-by-step explanation:
xd
Answer:
(38/29) +(8/29)i
Step-by-step explanation:
_____
Multiply numerator and denominator by the conjugate of the denominator to make the denominator a real number.
Answer:
The angle that is supplementary to angle ∠ Z2 is 136°
Step-by-step explanation:
Given as :
∠ Z2 = 44
Let The supplementary to ∠ Z2 = ∠x
∵ For Supplementary angle , measure of Two angles = 180°
Or, ∠x + ∠ Z2 = 180°
Or, ∠x + 44° = 180°
Or, ∠x = 180° - 44°
So, ∠x = 136°
Hence The angle that is supplementary to angle ∠ Z2 is 136° Answer
Answer:
56 regular 37 tropical Maximum profit $204.75
Step-by-step explanation:
Constraints are:
r ≥ 0
t ≥ 0
2r+ 3t ≤ 125
2r + 1t ≤ 150
I will multiply the second by -3 to cancel t variable and see what is the maximum amount for the regular
2r + 3t ≤ 225
-6r - 3t ≤ -450
ADD BOTH
-4r ≤ -225
r≤ 56.5
Since we need to pick whole bottles ,not a fraction of a bottle we need ro round down.It should be less than 65.5.So we need 56 bottles of regular
2*56 +3t ≤ 225
112+3t ≤ 225
3t ≤ 113
t≤ 37.6666
37 bottles of tropical
2*56 + 3*37 = 112+111 =223 223<225
2*56 +37 = 112 +37 =149 149<150
$2.5*56 = $140
$1.75*37 = $64.65
Total profit $204.75
