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Nitella [24]
3 years ago
13

Which of the following is an exponential equation? y = mx + b y = a(b^x)

Mathematics
1 answer:
Darina [25.2K]3 years ago
4 0
Y = a(b^x)

y=mx + b is the equation of a line. It is a linear function because it has a constant rate of change.

y = a(b^x) is an exponential function because it has has an exponent and its rate of change is not constant
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inna [77]

Hello!

\large\boxed{x^{2} + x - 3 + \frac{4}{2x+3}}

**Process pictured below**

When dividing, find how many times the first time in the divisor (2x + 3) fits into the first time of the dividend (2x³ + 5x² - 3x - 5). In this step, it fits x² times.

Multiply x² by the terms in the divisor and subtract from the dividend. Bring down the next term in the dividend to continue the process.

Repeat this step until you reach the last number. In this case, there was a remainder of 4. In order to write the remainder, you must express it over the divisor which makes it 4 / 2x + 3.

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Read 2 more answers
Solve the following system of equations. (Hint: Use the quadratic formula.) f(x) = 2x² 3x g(x)=-3x² + 20 (0.-10) and (1, 17) (-2
jasenka [17]

The solution of the system of equation is the intersection point of the two quadratic equations, so we need to equate both equations, that is,

2x^2-3x-10=-3x^2+20

So, by moving the term -3x^3+20 to the left hand side, we have

5x^2-3x-30=0

Then, in order to solve this equation, we can apply the quadratic formula

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

In our case, a=5, b=-3 and c=-30. So we get

x=\frac{3\pm\sqrt{(-3)^2-4(5)(-30)}}{2(5)}

which gives

\begin{gathered} x=2.76779 \\ and \\ x=-2.16779 \end{gathered}

By substituting these points into one of the functions, we have

f(2.76779)=-2.982

and

f(-2.16779)=5.902

Then, by rounding these numbers to the nearest tenth, we have the following points:

\begin{gathered} (2.8,-3.0) \\ and \\ (-2.2,5.9) \end{gathered}

Therefore, the answer is the last option

4 0
10 months ago
Use Euler's formula to write 3+3i^3 in exponential form.
Alex_Xolod [135]

21−=2(2−)=2cos(−1)+2 sin(−1)

−1+2=−1(2)=−1(cos2+sin2)=cos2+ sin2

Is the above the correct way to write 21− and −1+2 in the form +? I wasn't sure if I could change Euler's formula to =cos()+sin(), where is a constant.

complex-numbers

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edited Mar 6 '17 at 4:38

Richard Ambler

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asked Mar 6 '17 at 3:34

14wml

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Add a comment

1 Answer

1

No. It is not true that =cos()+sin(). Notice that

1=1≠cos()+sin(),

for example consider this at =0.

As a hint for figuring this out, notice that

+=ln(+)

then recall your rules for logarithms to get this to the form (+)ln().

8 0
3 years ago
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