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belka [17]
3 years ago
6

PLEASE HELP WITH ALGEBRA QUESTIONS!!

Mathematics
1 answer:
kenny6666 [7]3 years ago
5 0
<span>1. (f+g)(x) = f(x) +g(x)
.. = (</span>x^2-36) +(<span>x^3+2x^2-10)
.. = x^3 +3x^2 -46

2. </span>(f•g)(x) = f(x)•g(x)
.. = (x^4-9)•(x^3+9)
.. = x^7 +9x^4 -9x^3 -81

<span>3. (f-g)(x) = f(x) -g(x)
.. = (x^3-2x^2+12x-6) -(4x^2-6x+4)
.. = x^3 -6x^2 +18x -10</span>
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How to solve an expression with variables in the exponents?
gtnhenbr [62]

Answer:

  use logarithms

Step-by-step explanation:

Taking the logarithm of an expression with a variable in the exponent makes the exponent become a coefficient of the logarithm of the base.

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You will note that this approach works well enough for ...

  a^(x+3) = b^(x-6) . . . . . . . . . . . variables in the exponents

  (x+3)log(a) = (x-6)log(b) . . . . . a linear equation after taking logs

but doesn't do anything to help you solve ...

  x +3 = b^(x -6)

There is no algebraic way to solve equations that are a mix of polynomial and exponential functions.

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Some functions have been defined to help in certain situations. For example, the "product log" function (or its inverse) can be used to solve a certain class of equations with variables in the exponent. However, these functions and their use are not normally studied in algebra courses.

In any event, I find a graphing calculator to be an extremely useful tool for solving exponential equations.

8 0
3 years ago
PLEASE HELP ME ASAP!!!!!! USE THIS LINK I WILL GIVE BRAINLEAST
Naily [24]

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Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Select Exponential growth or Exponential decay for each function.
Lena [83]

Answer:

f(x)=(1.023) ⋅ 3^x  Growth

f(x)=3 ⋅ (0.072)^x      Decay

f(x)=4 ⋅ (0.035)^x      Decay

f(x)=2 ⋅ (1.34)^x         Growth

Step-by-step explanation:

An exponential function at its heart has a base number of rate. If the rate is less than 1, then the function decays. If the base number or rate is greater than 1, then the function grows and increase.

f(x)=(1.023) ⋅ 3^x Rate 3 -  Growth

f(x)=3 ⋅ (0.072)^x      Rate 0.072 - Decay

f(x)=4 ⋅ (0.035)^x      Rate 0.035 - Decay

f(x)=2 ⋅ (1.34)^x         Rate 1.34 - Growth

7 0
3 years ago
Helppppppppppppppppppp helppppppppppppp
Annette [7]
<h2>•5×7^2</h2>

<em>HOPE</em><em> </em><em>ITS</em><em> </em><em>HELPFUL</em><em> </em>^_^

<h2>•RHONA</h2>

3 0
3 years ago
15 more than half a number is 9
avanturin [10]
1/2n + 15 = 9 <== ur equation
1/2n = 9 - 15
1/2n = - 6
n = -6 * 2
n = - 12 <== ur solution
4 0
3 years ago
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