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babymother [125]
3 years ago
9

Read the following statement: All prime numbers are odd. Which of the following choices is a counterexample to the statement?

Mathematics
1 answer:
lana66690 [7]3 years ago
5 0
All prime numbers are odd.
A counter-example is one that will prove this statement to be false.

ur answer is : 2....it is 2 because 2 is a prime number and it is even...in fact, it is the only even number that is a prime number.


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True or False: The slope of the line that passes through (9, 9) and (6, 4) is 3/5.
emmainna [20.7K]

Answer:

False.

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

  • Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (9, 9)

Point (6, 4)

<u>Step 2: Find slope </u><em><u>m</u></em>

  1. Substitute:                     m=\frac{4-9}{6-9}
  2. Subtract:                        m=\frac{-5}{-3}
  3. Simplify:                         m=\frac{5}{3}
6 0
3 years ago
Prove that an = 4^n + 2(-1)^nis the solution to
olga nikolaevna [1]

Answer:

See proof below

Step-by-step explanation:

We have to verify that if we substitute a_n=4^n+2(-1)^n in the equation a_n=3a_{n-1}+4a_{n-2} the equality is true.

Let's substitute first in the right hand side:

3a_{n-1}+4a_{n-2}=3(4^{n-1}+2(-1)^{n-1})+4(4^{n-2}+2(-1)^{n-2})

Now we use the distributive laws. Also, note that (-1)^{n-1}=\frac{1}{-1}(-1)^n=(-1)(-1)^{n} (this also works when the power is n-2).

=3(4^{n-1})+6(-1)^{n-1}+4(4^{n-2})+8(-1)^{n-2}

=3(4^{n-1})+(-1)(6)(-1)^{n}+4^{n-1}+(-1)^2(8)(-1)^{n}

=4(4^{n-1})-6(-1)^{n}+8(-1)^{n}=4^n+2(-1)^n=a_n

then the sequence solves the recurrence relation.

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Answer:

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Step-by-step explanation:

3 0
3 years ago
5x - 4y = 17<br> 6x + 4y = -6
Otrada [13]

Answer:

x = 14.2 y=15.

Step-by-step explanation:

6 0
3 years ago
Which expression is equivalent to x6 – 9?
Lorico [155]

Answer:

(x^{3})^{2} -3^{2}

Step-by-step explanation:

we have

x^{6}-9

we know that

x^{6}-9=(x^{3})^{2} -3^{2}

Applying difference of square

(x^{3})^{2} -3^{2}=(x^{3}+3)(x^{3}-3)

7 0
3 years ago
Read 2 more answers
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