Answer:
d=1.4
Step-by-step explanation:
cuz 10-1.4=8.6
One kilometer is 1000 meters. One hour is 60 minutes, or six segments of 10 minutes each. If you can walk 1000 meters in 10 minutes, you can walk 6000 in an hour (that is REALLY fast, by the way)
Answer:
-3(x + 2)(5x - 3)
Step-by-step explanation:
-15x² – 21x + 18
-3(5x² + 7x - 6)
-3[5x² + 10x - 3x - 6]
-3[5x(x + 2) - 3(x + 2)]
-3(x + 2)(5x - 3)
Answer:
x = 3
, y = 5
Step-by-step explanation:
Solve the following system:
{3 y - 7 x = -6 | (equation 1)
3 y - 3 x = 6 | (equation 2)
Subtract 3/7 × (equation 1) from equation 2:
{-(7 x) + 3 y = -6 | (equation 1)
0 x+(12 y)/7 = 60/7 | (equation 2)
Multiply equation 2 by 7/12:
{-(7 x) + 3 y = -6 | (equation 1)
0 x+y = 5 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{-(7 x)+0 y = -21 | (equation 1)
0 x+y = 5 | (equation 2)
Divide equation 1 by -7:
{x+0 y = 3 | (equation 1)
0 x+y = 5 | (equation 2)
Collect results:
Answer: {x = 3
, y = 5
Answer:
2cm of Rainfall
Step-by-step explanation:
When the no. of mosquitoes is the highest the slope of graph will be zero
so if we differentiate this function and equate to zero we can find the rainfall amount that gives maximum number of mosquitoes in centimetres.
m(x)= -x²+4x
differentiate
d(x)/d(m(x))= -2x+4
equate to zero
-2x+4=0
2x=4
x=2
answer: 2 cm of rain