What is the independent variable in this function?

Mathematics

1 answer:

DedPeter [7]1 year ago

5 0

Answer:

Step-by-step explanation:

The value of h depends on the values of p.

So h is the dependent variable and p is the independent one

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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

2 years ago

Which graph is correct

ELEN [110]

C is the best answer

6 0

2 years ago

The lengths of the sides of a triangle are consecutive odd integers. If the perimeter is 1 less than 4 times the shortest side,

Lubov Fominskaja [6]

Let the shortest side be x. Then the other two sides will be x+1 and x+2.

Perimeter = P = sum of the lengths of all three sides = x + (x+1) + (x+2)

This perimeter = 4x -1 (1 less than 4 times the shortest side).

Then x + x + 1 + x + 2 = 4x - 1
or: 3x + 3 = 4x -1 Subtr. 3x from both sides:
3 = x - 1

x=4, x+1=5, and x+2=6

The 3 sides have lengths 4, 5 and 6.

4 0

2 years ago

Need help don’t understand

Rama09 [41]

Answer:umm that looks hard

Step-by-step explanation:

4 0

2 years ago

NEED HELP ASAP!!!!!!!

Svetradugi [14.3K]

I think ur answer is right the second one

7 0

2 years ago