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3 years ago

The difference between a number,x, and 4 is 9. find the number

Mathematics

1 answer:

Elena-2011 [213]3 years ago

6 0

let's set up an equation:

x-4=9

solve normally:

x=13

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masya89 [10]

Answer:

?=1O or 15

Step-by-step explanation:

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3 years ago

D. Calculate the volume of Laurel's new box. Show your thinking clearly.

bezimeni [28]

The correct answer is 336 cubic inches.
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4•6/2=12
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240+96=336

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3 years ago

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3 years ago

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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.

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3 years ago

F(x) = x + 2 when x = 10

murzikaleks [220]

Answer:

f(10) = 12

Step-by-step explanation:

f(x) = x + 2

Substitute x for 10.

f(10) = 10 + 2

f(10) = 12

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3 years ago

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The difference between a number,x, and 4 is 9. find the number​

The difference between a number,x, and 4 is 9. find the number