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2 years ago

Find an equation for the nth term of the sequence -4,-16,-64,-256

Mathematics

1 answer:

Anna11 [10]2 years ago

8 0

Answer:

this should be -262,144 because its -4^9 so you just keep multiplying by 4 until the ninth which is -262,144

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A full glass of water can hold of a bottle.

zloy xaker [14]

Answer:

three bottles of water can hold three glass of water

Step-by-step explanation:

one glass of water = one bottle

3 0

3 years ago

Today, everything at a store is on sale. The store offers a 20% discount.

Mila [183]

Answer: $14.40

10% of $18 = $1.80 (just divide it by 10)
$1.80 x 2 = $3.60
20% of $18 = $3.60

since it’s a discount, you subtract from the original price so:

$18 - $3.60 = $14.40

8 0

2 years ago

Based on the polynomial remainder theorem, what is the value of the function when x=−6 ?

Vaselesa [24]

ANSWER

$f( - 6) = 10$

EXPLANATION

The given function is
$f(x) = {x}^{4} + 8 {x}^{3} + 10 {x}^{2} - 7x + 40$

According to the remainder theorem,

$f( - 6) = R$
where R is the remainder when
$f(x)$

is divided by
$x + 6$

We therefore substitute the value of x and evaluate to obtain,

$f( - 6) = { (- 6)}^{4} + 8 {( - 6)}^{3} + 10 { (- 6)}^{2} - 7( - 6)+ 40$

$f( - 6) = 1296 + 8 ( - 216) + 10 (36) - 7( - 6)+ 40$

$f( - 6) = 1296 - 1728 + 360 + 42+ 40$

This will evaluate to,

$f( - 6) = 10$

Hence the value of the function when
$x = - 6$

is
$10$

According to the remainder theorem,
$10$
is the remainder when

$f(x) = {x}^{4} + 8 {x}^{3} + 10 {x}^{2} - 7x + 40$
is divided by
$x + 6$

3 0

3 years ago

Which expressions are equivalent to -2.5(1-2n) - 1.5n

Keith_Richards [23]

Answer:

-5n - 4

Step-by-step explanation:

The goal is to simplify this expression.

1. Distribute

-2.5 * 1 = -2.5

-2.5 * 2n = -5n

Now, we have

-2.5 - 5n - 1.5

2. Combine like terms

-2.5 + (-1.5) = -4 (+ * - = - The - cancels out the +)

3. Put it together

-5n - 4

I hope I helped!

Let me know if you need anything else!

~ Zoe

4 0

2 years ago

I need help with this question

WITCHER [35]

I believe it is D
if not it is A

5 0

3 years ago