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nordsb [41]
3 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]3 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]3 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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Which property justifies this r(s + t) = rs + rt<br> statement
Law Incorporation [45]
R(s+t) = rs + rt represents Distributive Property because r is multiplying s and t
i.e. ( r*s + r*t ) 
    = rs + rt

So correct answer is Distributive Property.

hope this helps  :)
8 0
3 years ago
Read 2 more answers
This is Quadratics.<br> (5n−5)(2+2n)
ki77a [65]

Answer: 10n^2 - 10

Step-by-step explanation:

(5n - 5)(2+2n) becomes (5n-5)(2n+2)

= (5n)(2n) + (5n)(2) + (-5)(2n) + (-5)(2)

= 10n^2 - 10

5 0
3 years ago
Construct a residual plot of the amount of money in a person’s bank account and their age that would indicate a linear model.
stepladder [879]

Answer:

The regression line is not a good model because there is a pattern in the residual plot.

Step-by-step explanation:

Given is a  residual plot for a data set

The residual plot shows scatter plot of x and y

The plotting of points show that there is not likely to be a linear trend of relation between the two variables. It is more likely to be parabolic or exponential.

Hence the regression line cannot be a good model as they do not approach 0.

Also there is not a pattern of linear trend.

D) The regression line is not a good model because there is a pattern in the residual plot.

3 0
3 years ago
If AA and BB are two disjoint events with P(A)=0.15P(A)=0.15 and P(B)=0.75P(B)=0.75, find the following probabilities:
zubka84 [21]

Answer:

a 0

b) 0.9

c) 0.85

d) 0.25

e) 0.1

f) 0.0375

Step-by-step explanation:

a)

As A and B are two disjoints events, then P(A and B) is

P(A and B)=0

b)

As A and B are two disjoints events, then P(A or B) is

P(A or B)=P(A)+P(B)

P(A or B)=0.15+0.75=0.9

c)

P(not A)=1-P(A)

P(not A)=1-0.15=0.85

d)

P(not B)=1-P(B)

P(not B)=1-0.75=0.25

e)

P(not (A or B))=1-P(A or B)

P(not (A or B))=1-0.9=0.1

f)

P(A and (not B))=P(A)*P(not B)

P(A and (not B))=0.15*0.25=0.0375

5 0
3 years ago
Antonio and Candice had a race. Their distances past a particular landmark as the race progressed can be represented by linear f
Luda [366]

I got the answer Antonio had a head start of 3 meters.

4 0
3 years ago
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