Answer:
b
Step-by-step explanation:
Step-by-step explanation:
35/48
this cannot be simplified any further
Step-by-step explanation:
the solutions for a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = -4
c = k
x = (4 ± sqrt(16 - 4k))/2 = 2 ± sqrt(4 - k)
x1 = 2 + sqrt(4 - k)
x2 = 2 - sqrt (4 - k)
x1 = 2 + x2
2 + sqrt(4 - k) = 2 + 2 - sqrt(4 - k)
2×sqrt(4 - k) = 2
sqrt(4 - k) = 1
4 - k = 1
k = 4 - 1 = 3
x1 = 3
x2 = 1
9514 1404 393
Answer:
y = 0.2·0.5^x
Step-by-step explanation:
An exponential function is generally of the form ...
y = a·b^x
where 'a' is the function value when x=0, and b is the ratio between values for x=1 and x=0.
In the given table, y = 0.2 for x = 0, so a = 0.2.
We find that the value for x = 1 is 0.1, so the value of b is ...
b = 0.1/0.2 = 0.5
Then the exponential function is ...
y = 0.2·0.5^x
You have to use the Pythagorean theorem because it is a right triangle. Consequently it is the square root of 12 squared plus 17 squared or approximately 20.81
