Which of the following correctly completes the square for the equation below x^2+6x=22

Mathematics

1 answer:

neonofarm [45]3 years ago

4 0

X² + 6x = 22
x² + 6x = 31 - 9
x² + 6x + 9 = 31
(x+3)² = 31

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Steve has a credit account with his local coffee shop. He gets a large coffee every day and a debit of $1.99 is applied to his a

SCORPION-xisa [38]

Answer:

Therefore a numeric equation using negatives can be written as

-11.94 = -1.94x $\therefore x = \frac{-11.94}{-1.99} = 6\hspace{0.1cm}days$

Step-by-step explanation:

i) Amount <u>owed</u> by Steve = $11.94

ii) For every large coffee Steve has a <u>debit</u> of $1.99 applied to his account

iii) Let x be the number of days it has been since Steve last paid his bill.

therefore a numeric equation using negatives can be written as

-11.94 = -1.94x $\therefore x = \frac{-11.94}{-1.99} = 6\hspace{0.1cm}days$ .

6 0

3 years ago

Each letter of the word "thunderstorm" has been written on a separate slip of paper and put into a box. Find the probability of

xxTIMURxx [149]

SOLUTION

From the question, we want to find the probability of selecting a slip of paper with the letter t on it, then selecting the letter r, with replacement.

This means the probability of selecting t and r.

That is

$P(t)\times P(r)$

There are 12 letters (total outcomes). And there are 2r and 2t.

So probability becomes

$\begin{gathered} \frac{possible\text{ outcome}}{\text{total outcome }} \\ P(t)=\frac{2}{12} \\ P(r)=\frac{2}{12} \\ P(t)\times P(r)=\frac{2}{12}\times\frac{2}{12} \\ =\frac{1}{6}\times\frac{1}{6} \\ =\frac{1}{36} \end{gathered}$

Hence the answer is