MATHEMATICS COLLEGE

Part A: Factor x2b2 − xb2 − 6b2. Show your work. Part B: Factor x2 + 4x + 4. Show your work.

Part C: Factor x2 − 4. Show your work

Answers

Answer 1

Answer:

Answer:

A.2b2(x2-x-3)

B.x2+2x+2x+4

=x(x+2)+2(x+2)

=(x+2)(x+2)

C.x2-2^2

=(x+2)(x+2)

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Determine the equivalent system for the given system of equations.4x − 5y = 2
3x − y = 8

4x − 5y = 2
13x − 8y = 4
4x − 5y = 2
10x + 3y = 15
4x − 5y = 2
13x − 8y = 26
4x − 5y = 2
7x + 6y = 10

Answers

Answer:

4x − 5y = 2

13x − 8y = 26

Step-by-step explanation:

The equivalent system must have the same solution as the given system of equations:

4x − 5y = 2

3x − y = 8

Here we have that:

y = 3x - 8

4x - 5y = 2

4x - 5(3x - 8) = 2

4x - 15x + 40 = 2

-11x = -38

$x = (38)/(11)$

$y = 3x - 8 = (3*38)/(11) - (88)/(11) = (26)/(11)$

Now, we have to verify which of these systems have this answer:

4x − 5y = 2

13x − 8y = 4

13x - 8y = 4

$13(38)/(11) - 8(26)/(11) = (286)/(11) \neq 4$

4x − 5y = 2

10x + 3y = 15

10x + 3y = 15

$10(38)/(11) + 3(26)/(11) = (458)/(11) \neq 15$

4x − 5y = 2

13x − 8y = 26

4x - 5y = 2

$4(38)/(11) - 5(26)/(11) = (22)/(11) = 2$

13x - 8y = 26

$13(38)/(11) - 8(26)/(11) = (286)/(11) = 26$

This is the correct answer

So this is the correct answer

4x − 5y = 2

7x + 6y = 10

Answer:

The answer is

(4x - 5y = 2) and (13x - 8y =26)

What is the additive inverse of the complex number 9-4i?

Answers

Answer:

$(1)/(9 - 4i)$

I'm not sure

casey has n nickels.meghan has 4 times as many nickels as casey has.write an expression for the total number of nickels casey and meghan have.then simplify the expression.

Answers

Answer:

Step-by-step explanation:

Summarizing what we know:

Casey has n nickels, and Meghan 4 times as many: 4n

Then the total number of nickets these two people have is n + 4n, or 5n.

Solve for x.
8x=4x−32
A)x = 8
B)x = 4
C) x=−4
D) x=−8

Answers

Answer:

x=-8

Step-by-step explanation:

i took the quiz

Answerd

Step-by-step explanation:

A manufactured lot of buggy whips has 20 items, of which 5 are defective. A random sample of 5 items is chosen to be inspected. Find the probability that the sample contains exactly one defective item

Answers

Answer:

$P(X=1)$

And using the probability mass function we got:

$P(X=1) = (5C1) (0.25)^1 (1-0.25)^(5-1)= 0.396$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

For this cae that one buggy whip would be defective is $p = (5)/(20)=0.25$