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3 years ago

Write an equation that defines the exponential function with base

Mathematics

1 answer:

baherus [9]3 years ago

6 0

The equation of an elementary exponential function with base b is

y=b∧x with domain Dx=R or x∈R. (R set of real numbers).

Good luck!!!

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Determine the values of a for which the system has no solutions, exactly one solution, or infinitely many solutions. x + 2y – 3z

Luden [163]

Answer:

a) If a=20 the system has no solutions.

b) If a≠20 the system has exactly one solution.

Step-by-step explanation:

The augmented matrix of the system is $\left[\begin{array}{cccc}1&2&-3&4\\3&-1&5&2\\4&1&a-14&a+2\end{array}\right]$ .

Using rows operations we obtain the echelon form of the matrix, ie,

$\left[\begin{array}{cccc}1&2&-3&4\\0&-7&-4&-10\\0&0&a-20&a+4\end{array}\right]$

Since the echelon form of the matrix does not have free variables then the problem has exactly one solution or has no solutions.

a) If a=20 the system has no solutions because in the last equation solving for x3 it has that 0=24. Then the system is inconsistent.

b) If a≠20, the the system has exactly one solution that is obtained solving the system of the echelon form matrix.

5 0

2 years ago

Have to make the equation on the left look like the equation on the right. There are apparently only 2 steps but I can not figur

andreyandreev [35.5K]

Step-by-step explanation:

$\frac{a}{b} c = \frac{a}{ \frac{b}{c} }$

$\frac{a}{b} c = a \times \frac{c}{b}$

5 0

1 year ago

Read 2 more answers

Fill in the missing word an unknow or changeable quantity is called an

kakasveta [241]

An unknown quantity is called a variable.

We typically use letters (ie: x) to represent these unknown values.

3 0

2 years ago

Read 2 more answers

Calcular el área de un hexágono regular si su lado mide 8 √3cm

-Dominant- [34]

Answer:

166.28

Step-by-step explanation:

8 0

3 years ago

If r> 0 and r^t = 6.25r^t+2, then r =

Firdavs [7]

I'm going to use n instead of t

rⁿ=6.25rⁿ+2
minus rⁿ both sides
0=5.25rⁿ+2
minus 2 both sides
-2=5.25rⁿ
divide both sides by 5.25
-2/5.25=rⁿ
take the nth root of both sides
$\sqrt[n]{\frac{-2}{5.25}}= \sqrt[n]{r^n}$
$\sqrt[n]{\frac{-2}{5.25}}= r$

4 0

2 years ago