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3 years ago

Add blank to each side of x^2-8x=9

Mathematics

1 answer:

Gekata [30.6K]3 years ago

4 0

Step-by-step explanation:

To complete the square, take half of the second coefficient, square it, then add the result to both sides.

(-8/2)² = (-4)² = 16

x² − 8x + 16 = 9 + 16

Solving:

(x − 4)² = 25

x − 4 = ±5

x = 4 ± 5

x = -1 or 9

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Can someone please help me fill this out I generally need help

Aneli [31]

Answer:

confusement

Step-by-step explanation:

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3 years ago

Solve (1/81)^x*1/243=(1/9)^−3−1 by rewriting each side with a common base.

elena55 [62]

Answer:

$x=(243)log_{\frac{1}{81}}[(\frac{1}{81})-1]$

Step-by-step explanation:

you have the following formula:

$(\frac{1}{81})^{\frac{x}{243}}=(\frac{1}{9})^{-3}-1$

To solve this equation you use the following properties:

$log_aa^x=x$

Thne, by using this propwerty in the equation (1) you obtain for x

$log_{(\frac{1}{81})}(\frac{1}{81})^{\frac{x}{243}}=log_{\frac{1}{81}}[(\frac{1}{81})-1]\\\\\frac{x}{243}=log_{\frac{1}{81}}[(\frac{1}{81})-1]\\\\x=(243)log_{\frac{1}{81}}[(\frac{1}{81})-1]$

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2 years ago

The sample space, S, for flipping a fair coin three times is shown

Ksenya-84 [330]

Answer: $\frac{7}{8}$

Step-by-step explanation:

Given

Sample space is $={HHH,THH,HTH,HHT,TTH,THT,HTT,TTT}$

There are 8 element in sample space which indicates the outcome of tossing a coin three times

Probability of obtaining at least one head $=1-P(\text{0 head})$

$P(\text{0 head})=P(\text{All tails})$

$P=1-\frac{1}{8}$

$P=\frac{7}{8}$

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3 years ago

He mean potassium content of a popular sports drink is listed as 140 mg in a 32-oz bottle. Analysis of 20 bottles indicates a sa

mezya [45]

Answer: (A) H0: μ = 140 mg vs. H1: μ ≠ 140 mg

Step-by-step explanation:

Usually null hypothesis represents the claim that the values associated to the groups being tested have no statistical difference but alternative hypothesis supports the claim that there is statistical difference.

Let $\mu$ be the population mean .