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3 years ago

What is the Greatest Common Factor of the two monomials? 15a²b, 35ab2

Mathematics

1 answer:

m_a_m_a [10]3 years ago

8 0

Answer:

5ab

Step-by-step explanation:

To find the greatest common factor (GCF), you will need to find the largest value that both of these monomials can be divided by. There are three different parts to these monomials: the number value, variable a, and variable b.

Find the largest number of each element that can be divided by both.

Numbers: the GCF of 15 and 35 is 5 (15/5 = 3, 35/5 = 7, 3 and 7 are prime numbers and therefore, cannot be divided further)

Variable a: the GCF of a² and a is a

Variable b: the GCF of b and b² is b

Therefore, the GCF is 5ab.

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3 years ago

Find the solution to the system of equations. You can use the interactive graph below to find the solution. { y = x − 4 y = 4 x

kumpel [21]

ANSWER

$x=-2,y=-6$

EXPLANATION

First equation:

$y = x - 4$

Second equation:

$y = 4x + 2$

Let us equate the two equations and solve for x.

This implies that;

$4x + 2 = x - 4$

Group similar terms to obtain:

$4x - x = - 4 - 2$

Simplify:

$3x = - 6$

Divide both sides by 3

$x = - 2$

Put x=-2 into any of the equations.

I will put x=-2 into the first equation:

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This implies that,

$y = - 6$

7 0

3 years ago

Read 2 more answers

2.24 Exit poll: Edison Research gathered exit poll results from several sources for the Wisconsin recall election of Scott Walke

iVinArrow [24]

Answer:

0.4929 = 49.29% probability that he voted in favor of Scott Walker

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

$P(B|A) = \frac{P(B)*P(A|B)}{P(A)}$

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Having a college degree.

Event B: Voting for Scott Walker.

They found that 57% of the respondents voted in favor of Scott Walker.

This means that $P(B) = 0.57$

Additionally, they estimated that of those who did vote in favor for Scott Walker, 33% had a college degree

This means that $P(A|B) = 0.33$

Probability of having a college degree.

33% of those who voted for Scott Walker(57%).

45% of those who voted against Scott Walker(100 - 57 = 43%). So

$P(A) = 0.33*0.57 + 0.45*0.43 = 0.3816$

What is the probability that he voted in favor of Scott Walker?

$P(B|A) = \frac{0.57*0.33}{0.3816} = 0.4929$

0.4929 = 49.29% probability that he voted in favor of Scott Walker

3 0

3 years ago