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2 years ago

Which of the following constants can be added to x^2 - 6x to form a perfect square trinomial?

1 answer:

5 0

The constant that is to form a perfect square trinomial is 9.

x² - 6x + 9
x² - 3x - 3x + 9
x(x) - x(3) - 3(x) + 3(3)
x(x - 3) - 3(x - 3)
(x - 3)(x - 3)
(x - 3)²

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10 points

Keith_Richards [23]

Answer:

Step-by-step explanation:

8 0

2 years ago

Each of the 10 students in the baking club made 2 chocolate cakes for a fundraiser. They all used the same recipe, using C cups

rodikova [14]

2x10=20 so there were 20 cakes made

so C/20

8 0

2 years ago

Read 2 more answers

A and B are n×n matrices. Check the true statements below: A. (detA)(detB)=detAB. B. The determinant of A is the product of the

Rudik [331]

Answer with Step-by-step explanation:

We are given that

A and B are matrix.

A.We know that for two square matrix A and B

Then, $det(AB)=det(A)\cdot det(B)$

Therefore, it is true.

B. det A is the product of diagonal entries in A.

It is not true for all matrix.It is true for upper triangular matrix.

Hence, it is false.

C. $\lambda+5=0$

$\lambda=-5$

When is a factor of the characteristics polynomial of A then -5 is an eigenvalue of A not 5.

Hence, it is false.

D.An elementary row operation on A does not change the determinant.

It is true because when an elementary operation applied then the value of matrix A does not change.

8 0

2 years ago

A student placement center has requests from five students for interviews regarding employment with a particular consulting firm

bagirrra123 [75]

Answer: a) 1 / 10

b) 3 / 10

c) 1 / 5

d) 3 / 5

Step-by-step explanation:

Total number of requests five students for interviews regarding employment with the consulting firm = 5

Number of students that are maths majors = 3

Probability of selecting a maths student is 3 / 5

Number of students that are statistics majors = 2

Probability of selecting a statistics student is 2 / 5

a) the probability that both selected students are statistics majors

= 2 / 5 × 1 / 4 = 2 / 20 = 1 / 10

b) the probability that both students are math majors

= 3 / 5 × 2 / 4 = 6 / 20 = 3 / 10

c) the probability that at least one of the students selected is a statistics major will be p( one statistics and the other, maths) + p( one maths and the other, statistic) - p( both are mathematics)

= (2 / 5 × 1 / 4 ) + ( 2 / 5 × 3 / 4 ) - (3 / 5 × 2 / 4)

= 2 / 10 + 6 / 20 - 6 / 20

= 1 / 5 + 3 / 10 - 3 / 10

= 1 / 5

d) the probability that the selected students have different majors is p(one is maths and the other is statistics) + p(one is statistics and the other is maths)

(3 / 5 × 2 / 4) + (2 /5 × 3 / 4)

= 6 / 20 + 6 / 20 = 12 / 20

= 3 / 5

3 0

2 years ago

3 With 72 million bicycles, correct to the

Galina-37 [17]

Answer:

181 million km

Step-by-step explanation:

"Correct to the nearest unit" means the actual value might be 1/2 unit larger (or smaller) than the reported value.

The upper bound would be the product of the maximum number of bicycles and the maximum distance each travels:

(72.5 · 10^6 bicycles)(2.5 km/bicycle) = 181.25 · 10^6 km

Since the given numbers are good to 2 significant figures (or so), we might reasonably put the upper bound as 180·10^6 km.

5 0

2 years ago