The blue line...
(1,2),(3,1)
slope = (1 - 2) / (3 - 1) = -1/2
there is a y int at (0,2.5) or (0,5/2)
it is shaded below the line....and it is a solid line
this inequality is :
y = -1/2x + 5/2
1/2x + y = 5/2
x + 2y = 5
x + 2y < = 5.....this is ur inequality
red line...
(0,4), (1,1)
slope = (1 - 4) / (1 - 0) = -3/1 = -3
there is a y int at (0,4)
it is shaded below the line...and it is a solid line
this inequality is :
y = -3x + 4
3x + y = 4
3x + y < = 4 ...this is ur inequality
summary :
ur 2 inequalities are :
x + 2y < = 5 and 3x + y < = 4
Answer:
23
Step-by-step explanation:
we are given that angle NRQ is 78 degrees
we can see from the figure that the sum of the given angles is angle NRQ
so
(8x + 7) + (4x - 1) = 78
12x + 6 = 78
12x = 72
x = 6
Now, we have to find angle PRQ
replacing x with 6 in the equation of angle PRQ
PRQ = 4(6) - 1
PRQ = 23
Answer:
Step-by-step explanation:
-32x+45-7(2x-9)=101
parenthesis first
-32x+45-14x+63=101
just combine like terms
-46x+108=101
minus 108 both sides
-46x= -7
answer is x 7 over 46
Answer:
A = 236,000 (1.04)^t
population in 2009 : 335,902 people
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = original population
r = growing rate (decimal form) = 4/100 = 0.04
t= years passed from 2000
A = population after t years
Replacing with the values given:
A = 236,000 (1+ 0.04)^t
A = 236,000 (1.04)^t
Population in 2009.
t = 2009-2000 = 9
A = 236,000 (1.04)^9
A = 335,902 people
Feel free to ask for more if needed or if you did not understand something.
(x-12)(x-1) is the answer.
