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2 years ago

Solve for x:

Mathematics

1 answer:

elixir [45]2 years ago

4 0

I’m going to say multiply both sides by a which gives you:

a^2-ab-a=2

If not give me a call

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[Quick Answer Needed] Which of the following shows the extraneous solution to the logarithmic equation?

Nitella [24]

Answer:

Step-by-step explanation:

Given the logarithmic equation

$\log_4x+\log_4(x-3)=\log_4(-7x+21)$

First, notice that

$x>0\\ \\x-3>0\Rightarrow x>3\\ \\-7x+21>0\Rightarrow 7x$

So, there is no possible solutions, all possible solutions will be extraneous.

Solve the equation:

$\log_4x+\log_4(x-3)=\log_4x(x-3),$

then

$\log_4x(x-3)=\log_4(-7x+21)\\ \\x(x-3)=-7x+21\\ \\x^2-3x+7x-21=0\\ \\x^2+4x-21=0\\ \\D=4^2-4\cdot 1\cdot (-21)=16+84=100\\ \\x_{1,2}=\dfrac{-4\pm 10}{2}=-7,\ 3$

Hence, $x=3$ and $x=-7$ are extraneous solutions

6 0

2 years ago

What is the function rule for this question?

Lemur [1.5K]

To calculate the remaining number of teams, use the sequence formula:
a(n) = a(1)Rⁿ-¹
Where a(n) and a(1) are the nth and first terms. R is the factor. Therefore, 24 teams is valid value.
After 5 rounds :
a(5) = 128*(½)⁴
a(5) = 128/16 = 8

8 teams are remained.

6 0

2 years ago

Suppose that Y1,....Yn are i.i.d random variables with a N (μγ, σ^2y) distribution. How would the probability density of Y chang

klemol [59]

Answer:

Step-by-step explanation:

As the sample size n increases, the sample mean (μy) becomes a more accurate estimate of the parametric mean, so the standard error of the mean becomes smaller. Therefore, the variance of y decreases and the distribution of y becomes highly concentrated around μy.

7 0

3 years ago

. This is a problem from Kendra's homework and the sum she found. Though she thought she followed the correct steps to find the

nlexa [21]

She didn't estimate her answer first

WHAT IS THE QUESTION ON KENDRA'S HOMEWORK?

6 0

2 years ago

What is the length, in centimeters, of the hypotenuse of a right triangle with legs measuring V2 cm and 3 cm?

WINSTONCH [101]

Answer:

$\sqrt{13}$

Step-by-step explanation:

A is the hyp. And b/c are the sides

A²=b²+c²=3²+2²=9+4=13

Now take the square root of 13 as the answer

5 0

2 years ago