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yanalaym [24]
3 years ago
7

4. k(x) × g(x) × f(x)​

Mathematics
1 answer:
Vikentia [17]3 years ago
7 0

k(x) \times f(x)

(2x + 5) \times (x - 1)

2 x(x - 1) + 5(x - 1)

({2 x }^{2}  - 2x) + (5x - 5)

{2x}^{2}  - 3x - 5

________________________________

k(x) \times g(x) \times f(x)

g(x) \times (k(x) \times f(x))

({6x   }^{2}  - 4x +  {3x}^{4} ) \times ( {2x}^{2}  - 3x - 5)

{6x}^{2}  ( {2x}^{2}  - 3x - 5) - 4x ( {2x}^{2}  - 3x - 5) +  {3x}^{4}  ( {2x}^{2}  - 3x - 5)

12 {x}^{4}  - 18 {x}^{3}  - 30 {x}^{2}  -  {8x}^{3}  - 12 {x}^{2}  - 20x +  {6x}^{6}  - 9x {}^{5}  -  {15x}^{4}

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Answer:

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Step-by-step explanation:

square root of 16 is 4

Just like the relationship of multiplication and division, square roots and exponents have similar relationship.

Example,

2^2=4

√4 = 2

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3 0
3 years ago
1. Let U the set of students of the university of Cambridge. Let the subsets of U:
Marysya12 [62]

Answer:

A) A ∩ C means in both sets, in this case A and C, and in this question all students both over 20 years and with social stratum of 1, 2 and 3.

B) A ∪ B means in either set or both, both will do, in this case meaning all students in A or B or any in between, and in this question all students over 20 years and/or are women.

C) As is already explained above, B  ∪ C means in this question all students that are women and/or have social stratum of 1, 2, and 3.

D) This is the same as A). Refer to A).

E) A ∪ C is already explained above, and in this question means all students over 20 years and/or have social stratum of 1, 2, and 3.

F) Same as E). Refer to E).

G) Same as A). Refer to A).

H) A ∩ B ∩ C means in students in all three sets simultaneously, and in this question all students that are over 20 years, women, and with social stratum of 1, 2 and 3.

I) A - B, in set theory would mean all students in A but not in B, in other words the difference. In this question, it would mean all students over 20 years that are not women.

J) (A - B) ∩ C would mean, as already explained above, all students over 20 years that are not women and with social stratum of 1, 2 and 3. Usually, it's easier to treat all unions or intersections or whatnot inside brackets as one whole thing, kind of like how you do algebra.

K) B 4 C is nonsensical, there is nothing in set theory like this.

L) Same as K).

The given description between C) and D) would be that they are the same, and comparing F) and G), it seems that the question is trying to make the point that they are almost the same but defined differently.

Step-by-step explanation:

Hope this helped!

6 0
3 years ago
Brianna has x nickels and y pennies. She has no less than 20 coins worth no more
Bond [772]

Answer:

y \ge 20 - x

y \le 80 -5x

(x,y) = (15,5)

Step-by-step explanation:

Given

Nickels = x

Pennies = y

Amount = \$0.80 maximum

Coins = 20 minimum

Required

Solve graphically

First, we need to determine the inequalities of the system.

For number of coins, we have:

x\ +\ y\ge 20 because the number of coins is not less than 20

For the worth of coins, we have:

0.05x\ +\ 0.01y\ \le0.80 because the worth of coins is not more than 0.80

So, we have the following equations:

x\ +\ y\ge 20

0.05x\ +\ 0.01y\ \le0.80

Make y the subject in both cases:

y \ge 20 - x

0.01y \le 0.80 - 0.05x

Divide through by 0.01

\frac{0.01y}{0.01} \le \frac{0.80}{0.01} -\frac{ 0.05x}{0.01}

y \le \frac{0.80}{0.01} -\frac{ 0.05x}{0.01}

y \le 80 -5x

The resulting inequalities are:

y \ge 20 - x

y \le 80 -5x

The two inequalities are plotted on the graph as shown in the attachment.

y \ge 20 - x --- Blue

y \ge 80 -5x --- Green

Point A on the attachment are possible solutions

At A:

(x,y) = (15,5)

4 0
3 years ago
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