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4 years ago

If 32^x16^-2x=4*2^-5x find x

Mathematics

2 answers:

vodka [1.7K]4 years ago

7 0

Answer:

x>0.1

Step-by-step explanation:

damaskus [11]4 years ago

5 0

Answer:

x=0, 1

Step-by-step explanation:

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Draw algebra tile models to prove that 4+8x and 4(2x+1) are equivalent

irina [24]

4*(2x+1)=(2x+1)+(2x+1)+(2x+1)+(2x+1)=
2x+2x+2x+2x+1+1+1+1=
=8x+4
I hope this is ok !

4 0

4 years ago

Can you tell me how to calculate R for below Matrix ?

scoray [572]

Answer:

The rank of the matrix is 3.

Step-by-step explanation:

Consider the prided information.

$x=\begin{bmatrix}x_1\\ x_2\\ x_3\end{bmatrix}=\begin{bmatrix}9&2&6&5&8\\ 12&8&6&4&10\\ 3&4&0&2&1\end{bmatrix}$

Reduce the matrix in row echelon form as shown:

$R_1\:\leftrightarrow \:R_2\begin{bmatrix}12&8&6&4&10\\ 9&2&6&5&8\\ 3&4&0&2&1\end{bmatrix}\\$

$R_2\:\leftarrow \:R_2-\frac{3}{4}\cdot \:R_1\ and\ R_3\:\leftarrow \:R_3-\frac{1}{4}\cdot \:R_1\\\\\begin{bmatrix}12&8&6&4&10\\ 0&-4&\frac{3}{2}&2&\frac{1}{2}\\ 0&2&-\frac{3}{2}&1&-\frac{3}{2}\end{bmatrix}$

$R_3\:\leftarrow \:R_3+\frac{1}{2}\cdot \:R_2\\\begin{bmatrix}12&8&6&4&10\\ 0&-4&\frac{3}{2}&2&\frac{1}{2}\\ 0&0&-\frac{3}{4}&2&-\frac{5}{4}\end{bmatrix}$

$R_2\:\leftarrow \:R_2-\frac{3}{2}\cdot \:R_3\ and\ R_1\:\leftarrow \:R_1-6\cdot \:R_3\\\begin{bmatrix}12&8&0&20&0\\ 0&-4&0&6&-2\\ 0&0&1&-\frac{8}{3}&\frac{5}{3}\end{bmatrix}\\R_2\:\leftarrow \:-\frac{1}{4}\cdot \:R_2\ , \ R_1\:\leftarrow \:R_1-8\cdot \:R_2\ and\ \:R_1\:\leftarrow \frac{1}{12}\cdot \:R_1\\\begin{bmatrix}1&0&0&\frac{8}{3}&-\frac{1}{3}\\ 0&1&0&-\frac{3}{2}&\frac{1}{2}\\ 0&0&1&-\frac{8}{3}&\frac{5}{3}\end{bmatrix}$

The rank of a matrix is the number of non zeros rows.

Thus, the rank of the matrix is 3.

6 0

3 years ago

Write the equation of the line with the following characteristics.

Alika [10]

Answer:

y = 7x

y = 2x -3

y = 3

x = -2

Step-by-step explanation:

Slope-intercept form: y= mx+b
Parallel lines have same slope

a)Parallel to y=7x+2 through the point (0,0)

This line will have a form:

y= 7x + b

Considering the given point of (0,0), to find the value of b:

0= 7*0+b ⇒ b =0

The line is:

y = 7x

b)Slope of 2 through the point (0,−3)

Solving as above:

y= 2x + b
-3 = 2*0 + b ⇒ b = -3
y = 2x -3

c)A horizontal line through the point (0,3)

A horizontal line will have constant value for y for any value of x:

y = 3

d)A vertical line through the point (−2,0)

A vertical line will have constant value of x for any value of y:

x= -2

5 0

3 years ago

A 13-A ladder leans against the side of a house. The bottom of the ladder is 8 ft from the side of the house. How high is the to

Anit [1.1K]

Answer:

10.2 ft

Step-by-step explanation:

$a^{2} +b^{2} = c^{2} \\8^{2} +b^{2} =13^{2} \\$

64 + $b^{2}$ = 169

$b^{2} = 105\\$

b= $\sqrt{105}$

b= 10.2469

5 0

3 years ago

6.True or False. A numeral, such as 22 is called a constant.

evablogger [386]

Answer:

True

Step-by-step explanation:

The term with no variable attached to it is the constant

4 0

2 years ago

Read 2 more answers