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3 years ago

State the slope and the y-intercept of the graph x + y =5

Mathematics

1 answer:

Rama09 [41]3 years ago

5 0

Answer:

Step-by-step explanation:9

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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

Solve A= 1/2bh for b. Then find the base of a triangle with a height of 6 inches and an area of 24 square inches.

lions [1.4K]

Answer:

The breadth of the triangle is 8 inches.

Step-by-step explanation:

Given that the area of the triangle is 24 sq inches and that the height is 6 inches

1/2 * b * 6 =24

b * 3= 24

b=8 inches

3 0

3 years ago

Which equation represents this statement? One-third of a number is 21.

Musya8 [376]

This states that a number divided by 3 is 21. the equation is: n/3 = 21

5 0

3 years ago

How can you use a rate to compare the costs of two boxes of cereal that are different sizes?

Rainbow [258]

Answer:

✖ both sides

Step-by-step explanation:

you take both numbers and you multiply it

3 0

3 years ago

Read 2 more answers

Math question pls help someone

Mnenie [13.5K]

the answer is D glad I could help

7 0

3 years ago