Solve first for the solution of the inequalities. This can be done by replacing first the inequalities sign with the equal sign.
x + y = 1
2y = x - 4
The values of x and y from the system of linear equation are 2 and -1. This means that the intersection of the lines should be at point (2, -1).
Substitute 3 to x and determine the value of y from the second inequality.
2y ≥ x - 4
Substituting,
2y ≥ 3 - 4, y ≥ -1/2
Hence, the solution to this item should be the fourth one.
"color the piece according to your color chart." Do you have that? If you don't, I wouldn't worry, you still did all the work and got all the answers, so your teacher should be fine with it.
now, you're asked to use it when ln(1.38), which is just another way of saying x = 1.38
so set x = 1.38 and see what "y" is
1.
y = -4x + 19
y = 19 = -4x
x = - y -19/4
9514 1404 393
Answer:
5,339,479
Step-by-step explanation:
The populations in millions of the different countries can be represented by the equations ...
c = 5.2(1.025^t)
d = 5.2(1.001^t)
We want to find d when c = 10. Solving for t when c=10, we have ...
10 = 5.2(1.025^t)
10/5.2 = 1.025^t
log(10/5.2) = t×log(1.025)
t = log(10/5.2)/log(1.025)
Then the value of d for that value of t is ...
d = 5.2(1.001^(log(10/5.2)/log(1.025)) ≈ 5.3394789
The population of Denmark is about 5,339,479 when the population of Chad is 10 million.
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If we round the number of years to 26.5 before computing the population of Denmark, we get 5,339,571 -- about 92 more people. Ordinarily, one would not round intermediate results.
