Answer:
both functions have the same graph
Step-by-step explanation:
The first function is described in terms of its slope and y-intercept, so can be written in slope-intercept form as ...
y = mx + b . . . . m = slope (-7/9); b = y-intercept (3)
y = -7/9x +3
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The second function is written in point-slope form:
y -k = m(x -h) . . . . m = slope (-7/9), point = (h, k) = (18, -11)
y +11 = -7/9(x -18)
If we rearrange the second equation to the form of the first, we get ...
y = -7/9x +14 -11 . . . . eliminate parentheses, subtract 11
y = -7/9x +3 . . . . . . . matches the equation of the first function
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Both functions describe the same relation.
Answer:
0.00375 inches
Step-by-step explanation:
Since the microscope makes the microorganism appear ×200 larger, that would mean we would have to divide by 200 to get the original size. 0.75/200= 0.00375.
Answer:
204 4/9 °C
Step-by-step explanation:
Put the number in the formula and do the arithmetic.
°C = (5/9)(400 -32) = 5/9(368) = 204 4/9
The temperature in °C is 204 4/9.
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Most likely, it would be written as 205 °C in a metric version of the recipe.
Solve for "years" (t)
A=P e^(rt)
A=1000
P=500
e=e
r=0.0462
Solve for t: use natural logarithms
(0.0462)t=in 2
t=15 years