<img src="https://tex.z-dn.net/?f=%20%7B5%7D%5E%7B2x%20-%201%7D%20%20%3D%2012%5E%7Bx%7D%20" id="TexFormula1" title=" {5}^{2x

All categories

liubo4ka [24]

2 years ago

} = 12^{x} " alt=" {5}^{2x - 1} = 12^{x} " align="absmiddle" class="latex-formula">
good luck
use indices nooooo log

Mathematics

1 answer:

nirvana33 [79]2 years ago

3 0

step by step explanation:

Add 1 to both sides

52x−1+1=12x+1

Simplify

52x=12x+1

Subtract 12x from both sides

52x−12x=12x+1−12x

Simplify

40x=1

Divide both sides by 40

40x40 =140

Simplify

x=140

You might be interested in

Find the coordinates of the points of intersection of the graphs with coordinate axes: y=− 1/4 x+2

bearhunter [10]

Answer:

Step-by-step explanation:

Here, you can use a simple formula.

To find the point of intersection you just put x=0 or y=0.

Because, if a graph intersects x-axis, then at this point y=0

Similarly, if a graph intersects y-axis, then at this point x=0

So, for our given line.

y=-1/4 x +2

when , x=0 , y=-1/4 (0)+2=2

So, the graph intersects y-axis at y=2

when , y=0 ,

then 0=-1/4 x+2

or, 1/4 x=2

or, x=8 [multiplying by 4]

So, the graph intersects x-axis at x=8

3 0

3 years ago

Gala2k [10]

Answer:

A 9y= 71+117 is the equation

5 0

3 years ago

Determine the vertical asymptote for the rational function f(x) = x - 4 over 2x - 3

k0ka [10]

Answer:

x = $\frac{3}{2}$

Step-by-step explanation:

Given

f(x) = $\frac{x-4}{2x-3}$

The denominator cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = $\frac{3}{2}$

Thus x = $\frac{3}{2}$ is the vertical asymptote

5 0

3 years ago

About 2% of children in the United States are allergic to peanuts. Choose three children at random and let the random variable X

VMariaS [17]

For the answer to the question above asking what is the conditional probability that exactly two of the children will be allergic to peanuts, given that at least one of the three children suffers from this allergy?
The answer to the question above is 0.0012. I hope this helps

3 0

3 years ago

12) Given f = {(-3,40),(-2,25),(-1,14),(0,7),(1,4),(2,5),(3,7)}

never [62]

Answer:

Part a) Domain of f : {-3, -2, -1, 0, 1, 2, 3}

Part b) Domain of g : {-1, 0, 1, 2, 3, 4}

Part c) Domain of f+g = {-1, 0, 1, 2, 3}

Part d) Ordered Pairs of f-g = {(-1, 10), (0, 2), (1, -2), (2, 4), (3, 23)}

Step-by-step explanation:

Part a) Determining the domain of f

Given f = {(-3,40),(-2,25),(-1,14),(0,7),(1,4),(2,5),(3,7)}

Domain is the set of the input values of x which define the function. In other words, domain is the set of all the first elements of order pairs.

Domain of f : {-3, -2, -1, 0, 1, 2, 3}

Part b) Determining the domain of g

Given g= {(-1,4),(0,5),(1,6),(2,1),(3,-16),(4,-51)}

As domain is the set of the input values of x which define the function. In other words, domain is the set of all the first elements of order pairs.

Domain of g : {-1, 0, 1, 2, 3, 4}

Part c) Determining the domain of f+g

When there is a sum of two functions f and g, then domain of f+g will be the intersection of their domains.

As,

Given f = {(-3,40),(-2,25),(-1,14),(0,7),(1,4),(2,5),(3,7)}

Domain of f : {-3, -2, -1, 0, 1, 2, 3}

and,

Given g= {(-1,4),(0,5),(1,6),(2,1),(3,-16),(4,-51)}

Domain of g : {-1, 0, 1, 2, 3, 4}

As when there is a sum of two functions f and g, then domain of f+g will be the intersection of their domains

So, the domain of f+g = {-1, 0, 1, 2, 3}

Part d) List the ordered pairs of f-g

f = {(-3,40),(-2,25),(-1,14),(0,7),(1,4),(2,5),(3,7)}

and

g = {(-1,4),(0,5),(1,6),(2,1),(3,-16),(4,-51)}

For f - g, we must focus on subtracting the second (y) coordinates of both function that correspond to the same element in the domain (x)

(f - g)(x) = f(x) - g(x)

(f - g)(x) = f(-1) - g(-1) = 14 - 4 = 10

(f - g)(x) = f(0) - g(0) = 7 - 5 = 2

(f - g)(x) = f(1) - g(1) = 4 - 6 = -2

(f - g)(x) = f(2) - g(2) = 5 - 1 = 4

(f - g)(x) = f(3) - g(3) = 7 - (-16) = 23

So,

Ordered Pairs of f-g = {(-1, 10), (0, 2), (1, -2), (2, 4), (3, 23)}

Keywords: domain, function, f+g, f-g

Learn more about domain, and ordered pairs from brainly.com/question/11422136

#learnwithBrainly

7 0

3 years ago