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2 years ago

Choose the correct equivalent factored form for the expression below. X^4 – 121

Mathematics

1 answer:

VikaD [51]2 years ago

8 0

Answer:

(x^2+11)(x^2-11)

Step-by-step explanation:

You didn't list the options, but it should be:

(x^2 + 11) (x^2 - 11)

We use this formula: a^2 - b^2 = (a + b) (a - b)

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Consider the sequence of numbers 3/8,3/4, 1 1/8,1 7/8 Which statement is a description of the sequence?

adoni [48]

The complete question in the attached figure

Let
for n=1
f(1)=3/8

for n=2
f(2)=3/4

for n=3
f(3)=1 1/8

for n=4
f(4)=1 1/2

for n=5
f(5)=1 7/8

we know that
f(2)-f(1)=3/4-3/8=3/8------> f(2)=f(1)+3/8

f(3)-f(2)=1 1/8-3/4----> 9/8-6/8----> 3/8-----> f(3)=f(2)+3/8

f(4)-f(3)=1 1/2-1 1/8-----> 12/8-9/8----> 3/8-----> f(4)=f(3)+3/8

f(5)-f(4)=1 7/8-1 1/2-----> 15/8-12/8---> 3/8-----> f(5)=f(4)+3/8

therefore

the answer is the option
The sequence is recursive and can be represented by the function f(n + 1) = f(n) + 3/8

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3 years ago

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The Office Store sells printer paper. Last week, the store sold 324 packs of white paper, which was 40% of

andreyandreev [35.5K]

Answer:

Step-by-step explanation:

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2 years ago

Pt=3x+8and TQ =5x-6 PT=?

GalinKa [24]

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2 years ago

Find an nth-degree polynomial function with real coefficients satisfying the given conditions.

lesya692 [45]

Answer:

$\displaystyle f(x) = -2(x-2)(x^2+4)$

Step-by-step explanation:

We want to find a third degree polynomial with zeros x = 2 and x = 2i and f(-1) = 30.

First, note that by the Complex Root Theorem, since x = 2i is a root, x = -2i must also be a root.

Hence, we will have the three factors:

$\displaystyle f(x) = a(x-(2))(x-(2i))(x-(-2i))$

Where a is the leading coefficient.

Expand and simplify the second and third factors:

$\displaystyle \begin{aligned} (x-(2i))(x-(-2i)) &= (x-2i)(x+2i) \\ \\ &= x(x-2i)+2i(x-2i) \\ \\ &= (x^2 - 2ix) + (2ix - 4i^2) \\ \\ &=x^2 + 4\end{aligned}$

Hence:

$\displaystyle f(x) = a(x-2)(x^2+4)$

Since f(-1) = 30:

$\displaystyle \begin{aligned} f(x) &= a(x-2)(x^2+4) \\ \\ (30) &= a((-1)-2)((-1)^2+4) \\ \\ 30 &= -15a \\ \\ a&= -2\end{aligned}$

In conclusion, third degree polynomial function is:

$\displaystyle f(x) = -2(x-2)(x^2+4)$

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2 years ago

Hello There!!~ (^人^) I need help please... Sasha noticed that the graph of the sales of yearbooks represented a proportional rel

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Answer:

Sasha can look at the graph and check to see that when she plots the points on the graph, they end up as a straight line. She can also draw a table to test the values and see if when you divide y/x you get the same answer for all of them.

Step-by-step explanation:

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2 years ago

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