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nordsb [41]
2 years ago
14

The first three steps for completing the square to solve a quadratic equation are shown. What number goes in the boxes to comple

te the third step?

Mathematics
2 answers:
Korolek [52]2 years ago
7 0

9514 1404 393

Answer:

  C.  16

Step-by-step explanation:

The x-coefficient is -8. Half that is -4. The number that goes in the boxes is the square of -4: (-4)² = 16.

_____

It can help to keep in mind what the square of a binomial looks like:

  (x -a)² = x² -2ax +a²

The coefficient of x is -2a. The constant is the square of half that (-2a/2)² = a².

Blababa [14]2 years ago
4 0

Answer:

16

Step-by-step explanation:

The x-coefficient is -8. Half of -8 is -4. The number that goes in the boxes is the square of -4: (-4)² = 16.

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Explain how the complement can be used to find the probability of getting at least one item of a particular type
valkas [14]
The outcome A="At least one" means {1,2,3,4,5......n}   where n is the maximum possible outcome.

The only other outcome (B) left (i.e. the complement of the above event "at least one") is (B)={0}.

Therefore, by Kolmogorov's second axiom, A and B are complements, and
P(A)+P(B)=1
therefore
P(A)=1-P(B), or in words,
Probability of outcomes of "at least one" is the complement of the outcome of "0" item.
5 0
3 years ago
Angelina's family owns a mini-golf course. When discussing the business with a customer, she explains there is a relationship be
Mrrafil [7]

The ordered pair (7,2) is viable and Option B is the correct answer.

<h3>What is Relationship ?</h3>

Relationship between variables defines the way one variable is dependent upon the other variable.

It is given that x is the number of visitors and y is the number of winners,

It has to be seen and chosen that which ordered pair makes sense

The ordered pair is viable if the no. of visitor is positive and more than the number of winners.

Therefore ordered pair (7,2) is viable and Option B is the correct answer.

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7 0
2 years ago
Whats the nth term of -1 -2 -3 -4 -5 ?
Fofino [41]

Answer:

4n + 3

Step-by-step explanation:

d = (-5) - (-1)

= (-5) + 1

= (-4)

dn + (a - d)

4(n) + [(-1) - (-4)]

4n + [(-1) + 4]

<u>4n + 3</u>

5 0
3 years ago
The figure shows the location of 3 points around a lake. The length of the lake, BC, is also shown.
lions [1.4K]

Answer:

5.29

Step-by-step explanation:

Pythagorean theorem is used

We will call AB x

x^2 + 6^2 = 8^2

x^2 + 36 = 64

x^2 = 28

x = 5.2915026

<u>x = 5.26</u>

4 0
3 years ago
Why does the shape of the distribution of the weights of russet potatoes tend to be symmetrical?
Sergio [31]

Answer:

Mean ≈ Median

6 0
3 years ago
Read 2 more answers
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