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3 years ago

9

The value of x in the equation 4^(2x+5)=8^(3x)

1 answer:

Roman55 [17]3 years ago

3 0

4⁽²ˣ ⁺ ⁵⁾ = 8³ˣ

But 4 = 2² and 8 = 2³

4⁽²ˣ ⁺ ⁵⁾ = 8³ˣ

2²⁽²ˣ ⁺ ⁵⁾ = (2³)³ˣ

Multiply out the powers, also since the

2⁴ˣ ⁺ ¹⁰ = 2⁹ˣ

Since the bases are the same, hence the powers are also the same.

4x + 10 = 9x

4x - 9x = -10

-5x = -10

x = -10/-5

x = 2

Hope this explains it.

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Amaya used these steps to solve the equation 8x+4=9+4(2x−1). Which choice describes the meaning of her result, 4=5?

GREYUIT [131]

Answer:

no values of x make the equation true

Step-by-step explanation:

Given that her work is correct, then the final step gives

4 = 5 ← meaningless

This indicates that the equation has no solution

5 0

3 years ago

Read 2 more answers

Suppose I have an urn with 9 balls: 4 green, 3 yellow and 2 white ones. I draw a ball from the urn repeatedly with replacement.

Mrrafil [7]

Answer:

$E(X_n)=\frac{2(n-1)}{27}$

$E(y)=\frac{14}{9}$

Step-by-step explanation:

From the question we are told that:

Sample size n=9

Number of Green $g=4$

Number of yellow $y=4$

Number of white $w=4$

Probability of Green Followed by yellow P(GY) ball

$P(GY)=\frac{4}{9}*\frac{3}{9}$

$P(GY)=\frac{4}{27}$

Generally the equations for when n is even is mathematically given by

$Probability of success P(S)=\frac{4}{27}$

$Probability of Failure P(F)=\frac{27-4}{27}$

$Probability of Failure P(F)=\frac{23}{27}$

Therefore

$E(X_n)=\frac{n}{2}*P$

$E(X_n)=\frac{n}{2}*\frac{4}{27}$

$E(X_n)=\frac{2n}{27}$

Generally the equations for when n is odd is mathematically given by

$\frac{n-1}{2}$

$E(X_n)=\frac{n-1}{2}*\frac{4}{27}$

$E(X_n)=\frac{2(n-1)}{27}$

b)

Probability of drawing white ball

$P(w)=\frac{2}{9}$

Therefore

$E(w)=\frac{1}{p}$

$E(w)=\frac{1}{\frac{2}{9}}$

$E(w)=\frac{9}{2}$

Therefore

$E(y)=[E(w)-1]\frac{4}{9}$

$E(y)=[\frac{9}{2}-1]\frac{4}{9}$

$E(y)=\frac{14}{9}$

5 0

3 years ago

What is the equation when y=5x+4 is reflected over the x-axis, y-axis & y=x?

tigry1 [53]

Answer:

A) $y=-5x-4$

B) $y=-5x+4$

C) $y=\frac{x-4}{5}$

Step-by-step explanation:

So we have the equation:

$y=5x+4$

Let's write this in function notation. Thus:

$y=f(x)=5x+4$

A)

To flip a function over the x-axis, multiply the function by -1. Thus:

$f(x)=5x+4\\-(f(x))=-(5x+4)$

Simplify:

$-f(x)=-5x-4$

B) To flip a function over the y-axis, change the variable x to -x. Thus:

$f(x)=5x+4\\f(-x)=5(-x)+4$

Simplify:

$f(-x)=-5x+4$

C) A reflection over the line y=x is synonymous with finding the inverse of the function.

To find the inverse, switch x and f(x) and solve for f(x):

$f(x)=5x+4$

Switch:

$x=5f^{-1}(x)+4$

Subtract 4 from both sides:

$x-4=5f^{-1}(x)$

Divide both sides by 5:

$f^{-1}(x)=\frac{x-4}{5}$

And we're done :)

7 0

3 years ago

Is -2.7 an integer??????????

ale4655 [162]

Answer:

ya you can take it both like integer and decimal

cause - the negative mark make it negative the . make it decimal

3 0

3 years ago

–21:(–2 – 5) + ( –14) + 6.(8 – 4.3)

Paladinen [302]

Did you mean -21(-2-5)+(-14)+6(8-4.3) ?
If that, the answer is 155.2:)) im sorry if im wrong:((

4 0

2 years ago