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3 years ago

X^2 + 18x + 50 = 9Solve by completing the square

1 answer:

dsp733 years ago

8 0

Step 1: both sides subtract 50: x²+18x=-41
step 2: both sides add (1/2 of 18)², which is 81: x²+18x+81=-41+81
step 3: make the square: (x+9)²=40
step 4: square root both sides: x+9=√40 or x+9=-√40
simplify: x=-9+2√10 or x=-9-2√10

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Answer:

Correct option is (A).

Step-by-step explanation:

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3 years ago

180:60 in its simplest from

kipiarov [429]

Answer:

3:1

You can easily figure out that 60 is a factor of 180 bc 6 is a factor of 18.

So you can simplify it to 18:6

Then divide both sides by 6 and you will get 3:1

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3 years ago

Read 2 more answers

Write a numerical expression for: twenty-seven less than the quotient of fourteen and seven.

cluponka [151]

Answer:

27⊂14=7

Step-by-step explanation:

8 0

3 years ago

Compute the probability of event E if the odds in favor of E are (A) StartFraction 20 Over 27 EndFraction (B) StartFraction 25 O

vovikov84 [41]

Answer:

A) 0.4255

B) 0.5813

C) 0.5588

D) 0.7241

Step-by-step explanation:

Assuming that the probability for each case is the same, we can calculate the probability by dividing the number of favourable cases with the total amount of cases. You can find the total amount of cases by adding the favourable ones with the non favourable ones, so, the probability of each case would be:

A) 20/(27+20) = 20/47 = 0.4255

B) 25/(18+25) = 25/43 = 0.5813

C) 19/(15+19) = 19/34 = 0.5588

D) 21((8+21) = 21/29 = 0.7241

4 0

3 years ago

Noor brought 21 sheets of stickers. She gave 1/3 of a sheet to each of the 45 students at recess. She wants to give teachers 1 1

Tamiku [17]

Answer:

$\frac{3}{2}t+15\leq 21$

Step-by-step explanation:

Let t represent the number of teachers.

We have been given that Noor gave 1/3 of a sheet to each of the 45 students at recess.

Let us find the number of sheets given to students by Noor by multiplying the total number of students by the part of sheet given to each student.

$\text{Number of sheets given to 45 students}=45\times \frac{1}{3}$

$\text{Number of sheets given to 45 students}=15$

So, Noor gave 15 sheets to 45 students.

We have been given that Noor wants to give $1\frac{1}{2}=\frac{3}{2}$ sheet to each teachers, so the number of sheets given to t teachers will be $\frac{3}{2}t$ .

As Noor has bought 21 sheets, so the number of sheets given to students and t teachers will be less than or equal to 21.

We can represent this information in an inequality as:

$\frac{3}{2}t+15\leq 21$

Therefore, the inequality $\frac{3}{2}t+15\leq 21$ represents the number of teachers ,t, Noor could give sheets of stickers too.

6 0

3 years ago