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3 years ago

Is x + 3 a factor of the polynomial 2x^3 + 5x - 3?

Mathematics

1 answer:

Lapatulllka [165]3 years ago

5 0

Answer: n = - 6

Step-by-step explanation:

Given (x + h) is a factor of a polynomial f(x) then f(- h) = 0

Here

f(x) = x³ + 2x² - 5x + n and (x + 3) is a factor then f(- 3) = 0 , that is

f(- 3) = (- 3)³ + 2(- 3)² - 5(- 3) + n = 0 , so

- 27 + 2(9) + 15 + n = 0

- 27 + 18 + 15 + n = 0

6 + n = 0 ( subtract 6 from both sides )

n = - 6

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The endpoints of the diameter of a circle are (0,0 and (0,-6). what is the area of the circle?

makvit [3.9K]

Answer: $9\pi$

Step-by-step explanation:

DIAMETER length = 6

radius length = 3

Area of the circle = $\pi r^{2} = 9\pi$

5 0

2 years ago

3x3-5/5x6+19 i don’t know what I’m don’t wrong

KonstantinChe [14]

Hi there!

For these two equations, we would be using PEMDAS...

$3$ · $3=9-5=4$

$5$ · $6=30+19=49$

Hope this helps!

4 0

3 years ago

Find the f^-1(x) and it’s domain

borishaifa [10]

Answer:

$f^{-1}(x) = (x + 8)^2$

$x \ge -8$

Step-by-step explanation:

Given

$f(x) = \sqrt x - 8$

Solving (a): $f^{-1}(x)$

We have:

$f(x) = \sqrt x - 8$

Express f(x) as y

$y = \sqrt x - 8$

Swap x and y

$x = \sqrt y - 8$

Add 8 to $both\ sides$

$x + 8 = \sqrt y - 8 + 8$

$x + 8 = \sqrt y$

Square both sides

$(x + 8)^2 = y$

Rewrite as:

$y = (x + 8)^2$

Express y as: $f^{-1}(x)$

$f^{-1}(x) = (x + 8)^2$

To determine the domain, we have:

The original function is $f(x) = \sqrt x - 8$

The range of this is: $f(x) \ge -8$

The $domain$ of the $inverse$ function is the $range$ of the $original$ function.

<em>Hence, the domain is:</em>

$x \ge -8$

3 0

3 years ago

5% of what number is 12? I need to find the whole

dalvyx [7]

Answer:

240

5 goes into 100, 20 times.

so u get 240 divide by 100 u get 2.4 multiply it by 5 u get 12.

8 0

3 years ago

Read 2 more answers

Need help with this question.

bonufazy [111]

10 meters by 3 meters

P= 10+10+3+3=26
A= 10×3=30

hope this helps :)

8 0

3 years ago