A. If AB = 14, find BC

Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions: 2a

sdas [7]

Answer:

-15

Step-by-step explanation:

We proceed as follows;

In this question, we want to fill in the blank so that we can have the resulting expression expressed as the product of two different linear expressions.

Now, what to do here is that, when we factor the first two expressions, we need the same kind of expression to be present in the second bracket.

Thus, we have;

2a(b-3) + 5b + _

Now, putting -15 will give us the same expression in the first bracket and this gives us the following;

2a(b-3) + 5b-15

2a(b-3) + 5(b-3)

So we can have ; (2a+5)(b-3)

Hence the constant used is -15

8 0

4 years ago

What is b-r-3,when b=9 and r=2

KIM [24]

B-r-3

Substitute values
9-2-3

9-2=7
7-3=4

Final answer: 4

7 0

3 years ago

ASAP NOW JUST ANSWER NO WORK

Naily [24]

Answer:

b.

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

In a sample of 1100 U.S. adults, 208 think that most celebrities are good role models. Two U.S. adults are selected from this s

DedPeter [7]

Answer:

a) 3.56% probability that both adults think most celebrities are good role models.

b) 65.74% probability that neither adult thinks most celebrities are good role models.

c) 34.26% probability that at least one of the two adults thinks most celebrities are good role models.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the adults are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

(a) Find the probability that both adults think most celebrities are good role models.

Desired outcomes:

Think most celebrities are good role models, so 2 from a set of 208. Then

$D = C_{208,2} = \frac{208!}{2!(208-2)!} = 21528$

Total outcomes:

Two adults from a set of 1100. Then

$T = C_{1100,2} = \frac{1100!}{2!(1100-2)!} = 604450$

Probability:

$p = \frac{D}{T} = \frac{21528}{604450} = 0.0356$

3.56% probability that both adults think most celebrities are good role models.

(b) Find the probability that neither adult thinks most celebrities are good role models.

Desired outcomes:

2 from a set of 1100 - 208 = 892. Then

$D = C_{892,2} = \frac{892!}{2!(892-2)!} = 397386$

Total outcomes:

Two adults from a set of 1100. Then

$T = C_{1100,2} = \frac{1100!}{2!(1100-2)!} = 604450$

Probability:

$p = \frac{D}{T} = \frac{397386}{604450} = 0.6574$

65.74% probability that neither adult thinks most celebrities are good role models.

(c) Find the probability that at least one of the two adults thinks most celebrities are good role models.

Either neither think, or at least one does. The sum of the probabilities of these events is 100%.

From b), 65.74% probability that neither think.

So

65.74 + p = 100

p = 100 - 65.74

p = 34.26

34.26% probability that at least one of the two adults thinks most celebrities are good role models.

8 0

3 years ago

The measure of the reference angle is and sin 0 is

Masja [62]

Check the picture below.

bear in mind that a reference angle, is just the angle the "terminal point" makes with the x-axis, in this case, the green one.

8 0

3 years ago