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Scrat [10]
4 years ago
11

Let ​

Mathematics
2 answers:
Veronika [31]4 years ago
7 0

Answer:

x² - 12x + 36 = 97

Step-by-step explanation:

Given

x² - 12x = 61

To complete the square

add (half the coefficient of the x- term)² to both sides

x² + 2(- 6)x + (- 6)² = 61 + (- 6)², so

x² - 12x + 36 = 61 + 36

x² - 12x + 36 = 97

uranmaximum [27]4 years ago
5 0

Answer:

Step-by-step explanation:

Add the square of half the x-coefficient to both sides.

 x² -12x +(-6)² = 61 +(-6)²

<h2>  x² -12x +36 = 97</h2><h2 />
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A math teacher randomly selects one student in a class to write a probability question on a chalkboard. The teacher then randoml
Fittoniya [83]

Answer:

The probability to the nearest thousandth is 0.386

Step-by-step explanation:

Firstly, we will need to know the number of girls and the total number of students in the class.

We have the ratio as 3:5 for boys and girls with the number of boys being 18

What we have is thus;

3:5 = 18:g

3/5 = 18/g

3g = 90

g = 90/3

g = 30 girls

Thus, we have 18 boys and 30 girls with a total of 48 students.

The probability that the teacher selects a girl to write the question on the board is 30/48 = 5/8

Now, we intend selecting another girl to answer the question. This is like a probability without replacement. So this means that the number of girls we have now is 29 and the number of students we are selecting from is 47 students

Thus, the probability of selecting a girl to answer the question becomes 29/47

The joint probability is thus; 29/47 * 5/8 = 145/376 = 0.3856

To the nearest thousandth, we have 0.386

5 0
3 years ago
Find two numbers whose sum is 55 and whose product is 646​
Svet_ta [14]

Answer:

17 and 38

Step-by-step explanation:

x + y = 55......x = 55 - y

x * y = 646

y(55 - y) = 646

55y - y^2 = 646

y^2 - 55y + 646 = 0

(y - 17)(y - 38) = 0

y - 17 = 0       y - 38 = 0

y = 17            y = 38

ur numbers are 17 and 38

8 0
3 years ago
EASY QUESTION
jolli1 [7]

Answer:

i think it is 48 because  each gift bag will have the same number of each item,

so if each gift bag has 1 pencil, 1 marker, 1 sticker, we will have the greatest number of gift bags.

Step-by-step explanation:

6 0
3 years ago
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A 3 gallon jug of water cost $11.04. what’s the price per cup?
fiasKO [112]
Answer: one gallon jug of water cost’s $3.68
7 0
2 years ago
Use rounding to estimate the product of 1249 and 1194. Round both numbers to the nearest hundred to find your answer.
Troyanec [42]

Answer:

1,440,000

Step-by-step explanation:

1249 is rounded to 1200 because 49 is less than half of 100.

1194 is rounded to 1200 because 94 is more than half of 100.

1200 x 1200 = 1,440,000

8 0
3 years ago
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