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Jobisdone [24]
3 years ago
11

subtracting 2x^2+4x-5 from 7x^2+x+9 results in a polynomial. after substracting 4x^2 - 3x from this polynomial, the difference i

s ________?​

Mathematics
1 answer:
Alecsey [184]3 years ago
3 0

Answer:

The difference is 14.

Step-by-step explanation:

We are to subtract 3x² + 4x - 5 from 7x² + x + 9.

⇒ 7x² + x + 9 - (3x² + 4x - 5)

= 7x² + x + 9 - 3x² - 4x + 5

= (7 - 3)x² + (1 - 4)x + 9 + 5

= 4x² - 3x + 14

Now we subract 4x² - 3x from the above polynomial.

⇒ 4x² - 3x + 14 - (4x² - 3x)

= 4x² - 3x + 14 - 4x² + 3x

= (4 - 4)x² + (3 - 3)x + 14

= 14 which is the required difference.

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8 0
2 years ago
Suppose you have 18 objects (10 of type A, 5 of type B, and 3 of type C). Objects of type A are indistinguishable from each othe
Paladinen [302]

Answer:

\binom{18}{5}= 8568

Step-by-step explanation:

Note that we have in total 18 items. Even though we are given information regarding the amounts of items per type, the general question asks the total number of ways in which you can pick 5 out of the 18 objects, without any restriction on the type of chosen items. Therefore, the information regarding the type is unnecessary to solve the problem.

Recall that given n elements, the different ways of choosing k elements out of n is given by the binomial coefficient \binom{n}{k}).

Therefore, in this case the total number of ways is just \binom{18}{5}=8568

5 0
3 years ago
Read 2 more answers
Determine the values of the variables in isosceles trapezoid CHLE below.
Alex73 [517]

Answer:

The values of variables x and m are 11 and 17

Step-by-step explanation:

The question has missing details as the diagram of the trapezoid isn't attached.

(See attachment).

Given that trapezoid CHLE is isosceles then the angles at the base area equal (4x)

And

The angles at the top are also equal

8m = 11x + 15

At this point, the four angles in the trapezoid are 8m, 11x + 15, 4x and 4x..

The sum of interior= 360

So,

11x + 15 + 8m + 4x + 4x = 360

Collect like terms

11x + 4x + 4x + 8m = 360 - 15

19x + 8m = 345

Substitute 11x + 15 for 8m

19x + 11x + 15 = 345

30x + 15 = 345

30x = 345 - 15

30x = 330

Divide through by 30

30x/30 = 330/30

x = 11

Recall that 8m = 11x + 15;

8m = 11(11) + 15

8m = 121 + 15

8m = 136

Divide through by 8

8m/8 = 136/8

m = 17

Hence, the values of variables x and m are 11 and 17

7 0
2 years ago
Mrs browns class can earn 5 minutes of extra recess for each marble she puts in a jar. The class has 15 minutes of recess each m
melomori [17]
Mrs. Brown's class will earn 30 minutes of recess.
7 0
3 years ago
The sequence {an} is defined by a0 = 1 and
zavuch27 [327]
The solution to the problem is as follows:

Just plug in the numbers and follow the pattern. 

a0 = 1 

a1 = 2*1 + 2 = 4 

a2 = 2*4 +2 = 10 

<span>a3 = 2*10 +2 = 22
</span>
I hope my answer has come to your help. God bless and have a nice day ahead!
5 0
3 years ago
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