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3 years ago

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

1 answer:

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:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

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

Step-by-step explanation:

Step 1: Define

Point (9, 9)

Point (6, 4)

Step 2: Find slope m

Substitute: $m=\frac{4-9}{6-9}$
Subtract: $m=\frac{-5}{-3}$
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.

4 0

3 years ago

Pleaseee helpppp answer correctly !!!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

kirza4 [7]

Answer:

10.4 meters

Step-by-step explanation:

3 0

3 years ago

5x - 4y = 17 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