The answer X= -10 y= -5
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Slope Formula - (y² - y¹) / (x² - x¹)
(1, 7)
x¹ = 1
y¹ = 7
(-4, -8)
x² = -4
y² = -8
-8 - 7 = -15
-4 - 1 = -5
Simplify - -15/-5
-15/5 = -3
Your answer is -3.
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Answer:
The answer to this equation is 2
Step-by-step explanation:
x-2 = 3(2-x) \4
x-2= 6 -3x/4
cross multiply
4(x-2)= 6-3x
4x-8 = 6-3
collect like terms
4x+3x = 6+8
7x = 14
divide both sides by 7
7x/7= 14/7
x = 2
Answer:
See explanation
Step-by-step explanation:
Let x be the number of simple arrangements and y be the number of grand arrangements.
1. The florist makes at least twice as many of the simple arrangements as the grand arrangements, so
2. A florist can make a grand arrangement in 18 minutes hour, then he can make y arrangements in hours.
A florist can make a simple arrangement in 10 minutes hour, so he can make x arrangements in hours.
The florist can work only 40 hours per week, then
3. The profit on the simple arrangement is $10, then the profit on x simple arrangements is $10x.
The profit on the grand arrangement is $25, then the profit on y grand arrangements is $25y.
Total profit: $(10x+25y)
Plot first two inequalities and find the point where the profit is maximum. This point is point of intersection of lines and
But this point has not integer coordinates. The nearest point with two integer coordinates is (126,63), then the maximum profit is
9514 1404 393
Answer:
8. p(t) = 5(2^t)
9. 20, 40, 80
10. doubles every year
11. multiplies by 4
12. no, it will soon exceed available habitat
Step-by-step explanation:
8. From the graph, a = p(0) = 5, and b = p(1)/p(0) = 10/5 = 2.
The function is ...
p(t) = 5(2^t)
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9. You can read the values from the graph: 2 years: 20; 3 years: 40; 4 years: 80.
If you insist on evaluating the function, you have ...
p(2) = 5(2^2) = 5·4 = 20
p(3) = 5(2^3) = 5·8 = 40
p(4) = 5(2^4) = 5·16 = 80
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10. The population doubles each year.
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11. In 2 years, the population doubles twice, so is multiplied by 4.
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12. No. Exponential functions don't last long in the real world. Eventually, required resources run out. In 15 years, there would be 163,840 snakes; in 20 years, there would be 5.2 million snakes; in 40 years, there would be 5.5 trillion snakes, about 44 snakes for every acre of land on earth (including polar areas).