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3 years ago

(a-12)x = a+8 in the equation to the left, a is a constant. if the equation has no solutions, what is the value of a?

Mathematics

1 answer:

ohaa [14]3 years ago

6 0

Answer:

<h2>The value of a is 12.</h2>

Step-by-step explanation:

The equation is given by (a - 12)x = a + 8.

In order to get the solution of the equation, that is the value of x, the above equation is needs to be divided by a - 12. (a - 12) will be in the denominator.

The solution can not be found, if the value of a - 12 will be 0, that is a = 12.

You might be interested in

How to solve an expression with variables in the exponents?

gtnhenbr [62]

Answer:

use logarithms

Step-by-step explanation:

Taking the logarithm of an expression with a variable in the exponent makes the exponent become a coefficient of the logarithm of the base.

You will note that this approach works well enough for ...

a^(x+3) = b^(x-6) . . . . . . . . . . . variables in the exponents

(x+3)log(a) = (x-6)log(b) . . . . . a linear equation after taking logs

but doesn't do anything to help you solve ...

x +3 = b^(x -6)

There is no algebraic way to solve equations that are a mix of polynomial and exponential functions.

Some functions have been defined to help in certain situations. For example, the "product log" function (or its inverse) can be used to solve a certain class of equations with variables in the exponent. However, these functions and their use are not normally studied in algebra courses.

In any event, I find a graphing calculator to be an extremely useful tool for solving exponential equations.

8 0

3 years ago

Who knows how to do this

IgorC [24]

Answer:

Step-by-step explanation:

Given,

As we know that the all sides of the square are equal.

Length of a square paper = 12 cm

Area of square = ?

Now, let's find the area of square

$= {l}^{2}$

plugging the value of length,

${(12)}^{2}$

Evaluate the power

$= 144$ square cm

Hope this helps...

Best regards!!

7 0

3 years ago

Suppose the probability of an IRS audit is 1.5 percent for U.S. taxpayers who file form 1040 and who earned $100,000 or more.

sp2606 [1]

Answer:

(A) The odds that the taxpayer will be audited is approximately 0.015.

(B) The odds against these taxpayer being audited is approximately 65.67.

Step-by-step explanation:

The complete question is:

Suppose the probability of an IRS audit is 1.5 percent for U.S. taxpayers who file form 1040 and who earned $100,000 or more.

A. What are the odds that the taxpayer will be audited?

B. What are the odds against such tax payer being audited?

Solution:

The proportion of U.S. taxpayers who were audited is:

P (A) = 0.015

Then the proportion of U.S. taxpayers who were not audited will be:

P (A') = 1 - P (A)

= 1 - 0.015

= 0.985

(A)

Compute the odds that the taxpayer will be audited as follows:

$\text{Odds of being Audited}=\frac{P(A)}{P(A')}$

$=\frac{0.015}{0.985}\\\\=\frac{3}{197}\\\\=0.015228\\\\\approx 0.015$

Thus, the odds that the taxpayer will be audited is approximately 0.015.

(B)

Compute the odds against these taxpayer being audited as follows:

$\text{Odds against Audited}=\frac{P(A')}{P(A)}$

$=\frac{0.985}{0.015}\\\\=\frac{3}{197}\\\\=65.666667\\\\\approx 65.67$

Thus, the odds against these taxpayer being audited is approximately 65.67.

8 0

3 years ago

Solve for x. 2^6x+7=(1/8)^1-5x

wel

as a fraction the answer is

x=(10/9)

as a mixed number

x=1(1/9)

as a decimal

x=1.1

I wasn't sure which form you were looking for I I gave you them all

8 0

3 years ago

Round each number to the nearest 10 and 100. 734,102,483

11111nata11111 [884]

734: 730 and 700.

102: 100 and 100.

483: 480 and 500.

There you go! ^w^

8 0

3 years ago