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Digiron [165]
3 years ago
15

What number would you add to both sides of x2 + 7x = 4 to complete the square?

Mathematics
2 answers:
pashok25 [27]3 years ago
8 0

<u>Answer</u>

12.25


<u>Explanation</u>

x² + 7x = 4

The number that should be added on both sides is the square of half the coefficient of x.

That is (7/2)².

(7/2)² = 7²/2²

         = 49/4

          = 12.25

∴<em> x² + 7x + 3.5² = 4 + 12.25</em>

<em>  (x +  3.5) ² = 16.25</em>


 


galina1969 [7]3 years ago
8 0

Answer:(7/2)2


Step-by-step explanation:the answer is (7/2) to the second power.


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Which statement best describes the use of a simulation to predict the probability that two randomly chosen people will both have
laila [671]
<span>Randomly generate an integer from 1 to 7 two times, and the probability is 1/7 ^2

This is the </span><span>statement that best describes the use of a simulation to predict the probability that two randomly chosen people will both have their birthdays on a Monday.

There are 7 days in a week, so there are 7 choices but only 1 Monday. So, 1/7 is the probability that a person's birthday falls on a Monday.

1st person asked will have 1/7 probability.
2nd person asked will also have 1/7 probability

So, (1/7)</span>² is the probability that both persons will have their birthdays on a Monday.
8 0
3 years ago
Read 2 more answers
FILL IN THE BLANK: FOOD, HEAT, CABLE, INTERNET, AND DOG FOOD<br><br> ARE EXAMPLES OF
koban [17]

The complete question is:

FILL IN THE BLANK: FOOD, HEAT, CABLE, INTERNET, AND DOG FOOD

ARE EXAMPLES OF

A. HOUSEHOLD ASSETS

B. HOUSEHOLD EXPENSES

C. HOUSEHOLD INCOME

D. HOUSEHOLD BUDGETS

Answer:

The correct option is B

Household Expences

Step-by-step explanation:

Household expenses are the costs of maintaining a home, like rent or mortgage payments, utility bills, groceries, etc.

So, food, heat, cable, internet, and dog food are all examples of household expences.

3 0
2 years ago
Help please will mark
Ann [662]
200in^2
The face is made up of 2 squares which have side lengths of 10, 10 times 10 equals 100 and there’s 2 of them which makes 100+100=200in^2
7 0
3 years ago
What does y equal y-16-3y=0
Afina-wow [57]

Answer:

y = - 8

Step-by-step explanation:

y - 16 - 3y = 0

Group like terms

y - 3y - 16 = 0

Add similar elements: y - 3y = - 2y

- 2y - 16 = 0

Add 16 to both sides

- 2y - 16 + 16 = 0 + 16

Simplify

- 2y = 16

Divide both sides by - 2

\frac{-2y}{-2} = \frac{16}{-2}

Simplify \frac{-2y}{-2}: y

\frac{-2y}{-2}

Apply the fraction rule: \frac{-a}{-b}  = \frac{a}{b}

= \frac{2y}{2}

Divide the numbers: \frac{2}{2}  = 1

= y

Simplify \frac{16}{-2}: - 8

\frac{16}{-2}

Apply the fraction rule: \frac{-a}{-b}  = \frac{a}{b}

-\frac{16}{2}

Divide the numbers: \frac{16}{2} = 8

= - 8

y = - 8

7 0
3 years ago
Pls help and have a great day &lt;333!!!!
nirvana33 [79]

Answer:

find the least common multiple for the denominator and multiply with the numerator

for the first one,

Step-by-step explanation:

the common multiple for 4 and 6 is 12

4×3=12

6×2=12

multiply the same numbers with the numerator

1×3=3

5×2=10

the answer is 3/12 and 10/12

8 0
3 years ago
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