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disa [49]
3 years ago
10

Given that f (x) = x^2 - 5x + 6, evaluate the function f (-2).

Mathematics
1 answer:
AlexFokin [52]3 years ago
8 0

Answer:

f(- 2) = 20

Step-by-step explanation:

To evaluate f(- 2) substitute x = - 2 into f(x)

f(- 2) = (- 2)² - 5(- 2) + 6 = 4 + 10 + 6 = 20

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Which product of prime polynomials is equivalent to 3x4 – 81x?
adelina 88 [10]

Given:

The expression is

3x^4-81x

To find:

The product of prime polynomials which is equivalent to the given expression.

Solution:

We have,

3x^4-81x

Taking out the common factors, we get

=3x(x^3-27)

It can be written as

=3x(x^3-3^3)

=3x(x-3)(x^2+3x+3^2)        [\because a^3-b^3=(a-b)(a^2+ab+b^2)]

=3x(x-3)(x^2+3x+3^2)

=3x(x-3)(x^2+3x+9)

Therefore, the correct option is B.

5 0
2 years ago
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You are trying to cast four roles for a play. 12 actors try out, including sir Ian McKellen and Patrick Stewart. the director te
Komok [63]

Answer:

6,840 casts

Step-by-step explanation:

Assuming that every actor can play each of the 4 roles and that each role is different, the number of possible casts including at least one of sir Ian and Patrick is given by the total number of possible casts (permutation of 4 out of 12 actors), minus the number of casts without sir Ian and Patrick (permutation of 4 out of 10 actors):

n=\frac{12!}{(12-4!)} -\frac{10!}{(10-4)!}\\n=(12*11*10*9)-(10*9*8*7)\\n=6,840\ casts

There are 6,840 possible casts.

8 0
3 years ago
The length of a rectangle is 13 feet. The width is 9 feet. What is the perimeter of the rectangle?
KatRina [158]
13 + 13 + 9 + 9 = 44 feet.
Please make this answer the brainliest!
7 0
3 years ago
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Find the equation of a line traveling through the points (-6, -5) and (12, 7).<br>Helpp pls due soon
arlik [135]
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4 0
2 years ago
Tara has ¾ cup of ice cream. How many ⅕ cup servings are in ¾ cup of ice cream?
My name is Ann [436]

Answer:

3 3/4

Step-by-step explanation:

3/4 * 1/5

First you would turn 1/5 into a reciprocal

Now your equation would be 3/4 *5/1

Now you multiply 3/4 * 5/1

15/4

Now find 15/4 as a mixed number

15/4 as a mixed number would be 3 3/4

Therefore there are 3 3/4 1/2 cup servings in a 3/4 cup of ice

8 0
2 years ago
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