Answers:
a = 2
b = 3
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Explanation:
Plug in x = 0 and y = 2 to find that
y = a*b^x
2 = a*b^0
2 = a*1
2 = a
a = 2
Then plug in x = 3 and y = 54 to determine the value of b
y = a*b^x
y = 2*b^x
54 = 2*b^3
2b^3 = 54
b^3 = 54/2
b^3 = 27
b = (27)^(1/3)
b = 3
So we have y = a*b^x update to y = 2*3^x
Answer:
-1/5
Step-by-step explanation:
slope formula:
m = y₂ - y₁ / x₂ - x₁
Two points are given:
(-5, -5) (5, -7)
m = -7 - (-5) / 5 - (-5)
m = -2 / 10
m = -1/5
Answer:
Step-by-step explanation:
A new study suggests that waiting at least an hour after dinner before going to sleep reduces your risk of stroke by about two-thirds.
And for every 20 minutes more that you wait, stroke risk drops another 10%, says researcher Cristina-Maria Kastorini, MSc, a nutritionist at the University of Ioannina Medical School in Greece.
The study does not prove cause and effect -- only that there seems to be an association between waiting an hour or more between dinner and bedtime and reduced stroke risk.
Results of the 1,000-patient study were presented here at the European Society of Cardiology Congress 2011.
Answer:
924/448
Step-by-step explanation:
7/8×33/8
=231/64
=231/64÷7/4
=231/64×4/7
=924/448
