Answer:
(-74)/15
Step-by-step explanation:
Simplify the following:
(1 + 5/9)/((-2)/3) - (2 + 3/5)
Multiply the numerator of (1 + 5/9)/((-2)/3) by the reciprocal of the denominator. (1 + 5/9)/((-2)/3) = ((1 + 5/9)×3)/(-2):
((5/9 + 1) 3)/(-2) - (2 + 3/5)
Put 1 + 5/9 over the common denominator 9. 1 + 5/9 = 9/9 + 5/9:
(9/9 + 5/9 3)/(-2) - (2 + 3/5)
9/9 + 5/9 = (9 + 5)/9:
((9 + 5)/9×3)/(-2) - (2 + 3/5)
9 + 5 = 14:
(14/9×3)/(-2) - (2 + 3/5)
14/9×3 = (14×3)/9:
((14×3)/9)/(-2) - (2 + 3/5)
((14×3)/9)/(-2) = (14×3)/(9 (-2)):
(14×3)/(9 (-2)) - (2 + 3/5)
3/9 = 3/(3×3) = 1/3:
14/(3 (-2)) - (2 + 3/5)
The gcd of 14 and -2 is 2, so 14/(3 (-2)) = (2×7)/(3 (2 (-1))) = 2/2×7/(3 (-1)) = 7/(3 (-1)):
7/(3×-1) - (2 + 3/5)
Put 2 + 3/5 over the common denominator 5. 2 + 3/5 = (5×2)/5 + 3/5:
7/(-3) - (5×2)/5 + 3/5
5×2 = 10:
7/(-3) - (10/5 + 3/5)
10/5 + 3/5 = (10 + 3)/5:
7/(-3) - (10 + 3)/5
10 + 3 = 13:
7/(-3) - 13/5
Multiply numerator and denominator of 7/(-3) by -1:
(-7)/3 - 13/5
Put (-7)/3 - 13/5 over the common denominator 15. (-7)/3 - 13/5 = (5 (-7))/15 + (3 (-13))/15:
(5 (-7))/15 + (3 (-13))/15
5 (-7) = -35:
(-35)/15 + (3 (-13))/15
3 (-13) = -39:
(-35)/15 + (-39)/15
-35/15 - 39/15 = (-35 - 39)/15:
(-35 - 39)/15
-35 - 39 = -(35 + 39):
(-(35 + 39))/15
| 1 |
| 3 | 9
+ | 3 | 5
| 7 | 4:
Answer: (-74)/15
Answer:c
Step-by-step explanation:
A linear function is when a variable y varies directly with a variable x. That is, when y increases, x also increases and the opposite is also true. THerefore, the correct answer from the choices listed above is the first option. Every day, the number of bacteria in the dish is 3 times what it was the previous day can be <span>represented by a linear function.</span>
Do you mean "perpendicular to k"? We have no line c there so I'm going with line k. First we need the slope of line k. Fitting those values into the slope formula we have
. So the slope of k is 9. The slope of a line perpendicular to k has the opposite sign and the fraction is flipped. The perpendicular slope then is -1/9.
Answer:
is this the answer
Step-by-step explanation:
I (-121)+...=11
=(-121)+132
=11
II -81/27
=-3
