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Veronika [31]
3 years ago
9

Determining Sine and Cosine Values

Mathematics
1 answer:
marysya [2.9K]3 years ago
6 0

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Use the grouping method to factor the polynomial below completely.<br> x3 - 3x2 + 5x - 15
FromTheMoon [43]
X^3 - 3x^2 + 5x - 15
x^2(x-3) +5(x-3)
(x^2 + 5)(x - 3) <==Answer
8 0
3 years ago
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The function f(x) = 30(1.4)x gives the number of bacteria in a science experiment, where x is the number of days after the start
Rainbow [258]

Answer:

115 bacteria

Step-by-step explanation:

The function that gives the number of bacteria in a science experiment is:

f(x) = 30(1.4)^x

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After 4 days (x = 4), the number of bacteria will be:

f(4) = 30 * (1.4)^4

f(4) = 39 * 3.8416

f(4) = 115.248 = 115 (To the nearest whole number)

The number of bacteria after 4 days is 115.

6 0
3 years ago
F(x)=(x-6)e^-3x find the interval in which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema
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\bf f(x)=(x-6)e^{-3x}\\\\&#10;-----------------------------\\\\&#10;\cfrac{dy}{dx}=1\cdot e^{-3x}+(x-6)-3e^{-3x}\implies \cfrac{dy}{dx}=e^{-3x}[1-3(x-6)]&#10;\\\\\\&#10;\cfrac{dy}{dx}=e^{-3x}(19-3x)\implies \cfrac{dy}{dx}=\cfrac{19-3x}{e^{3x}}

set the derivative to 0, solve for "x" to get any critical points
keep in mind, setting the denominator to 0, also gives us critical points, however, in this case, the denominator will never be 0, so... no critical points from there

there's only 1 critical point anyway, and do a first-derivative test on it, check a number before it and after it, to see what sign the derivative has, and thus, whether the graph is going up or down, to check for any extrema
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The volume of a sphere isof the product of pi and the radius cubed.
Nadusha1986 [10]
The answer that you are looking for, for this question is D. Four thirds
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3 years ago
How do i solve an absolute prblem
pishuonlain [190]


Step 1: Isolate the absolute value expression.Step2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.Step 3: Solve for the unknown in both equations.Step 4: Check your answer analytically or graphically.



5 0
3 years ago
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