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GREYUIT [131]
3 years ago
9

Simplify: (3x2 + 4x – 3) - (4.x2 – 3x + 2)

Mathematics
1 answer:
Usimov [2.4K]3 years ago
5 0

Answer:

-  {x}^{2}  + 7x - 5

Step-by-step explanation:

Hope it is helpful....

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If T (n) =6-1 what is the 1st term.
Mariulka [41]
T(n)=6-1=5
that means all terms are 5 because n does not appear on the right hand side.

However, if T(n)=6n-1, then
first term = T(1)=6(1)-1=5,
but second term T(2)=6(2)-1=11...
8 0
3 years ago
In another state, all license plates consist of 6 symbols chosen from the 26 letters of the alphabet and the digits 0-9. How man
Amiraneli [1.4K]

Answer:

11,232,000 license plates are possible.

Step-by-step explanation:

The order in which the symbols are chosen is important(ABC is a different plate than BAC), which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

In this question:

3 letters from a set of 26.

3 digits from a set of 10. So

T = P_{26,3}P_{10,3} = \frac{26!}{23!} \times \frac{10!}{7!} = 11232000

11,232,000 license plates are possible.

3 0
3 years ago
Match each type of event with its probability. Unlikely event, 10greater than 0 and less than 0.50.5greater than 0.5 and less th
Arturiano [62]

Answer:

Unlikely = greater Than 0 ; less than

Likely = greater than 0.5 ; less than 1

Neither likely nor unlikely = 0.5

Step-by-step explanation:

Probability values usually range between standardized values between 0 and 1. With values closer to 1 depicting greater possibilities of an event. Probability value of zero means certain and probability value of 0 zero means.impossible.

Using this standardized values :

An unlikely event is more of not occurring than occurring (that is the event has higher chances of not happening) ;

Hence; We can categorize unliky events to range from below the mid value to greater Tha.n 0

Unlikely event : greater Than 0 ; less than 0.6

Events with probability above the mid value of 0.5 have higher chances of occurring (greater likelihood) hence, Probability is greater than 0.5 but less than 1.

Neither likely nor unlikely event will take the boundary point between likely and unlikely = 0.5

3 0
3 years ago
If x represents an even integer, write expressions in terms of x that represent the next four consecutive even integers. If the
Rufina [12.5K]

Answer:

16.2, 18,2, 20.2, 22.2, 24.2

Step-by-step explanation:

Let

x

represent an even interger.

Remeber that even intergers have a distance of 2 from each other.

So next four consecutive intergers are

x + 2

x + 4

x + 6

and

x + 8

Part 2: Five consective intergers have a sum of 101, and qe must find the numbers so

x + x + 2 + x + 4 + x + 6 + x + 8 = 101

5x + 20 = 101

5x = 81

x= 16.2

3 0
2 years ago
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:
MrMuchimi
No, it is not in the solution area for the system.

The point only works in one of the inequalities. 

It doesn't work in the inequality: y > -1/2x+ 3

We can put it in to test it:

-7 > (-1/2)3 + 3
-7 > -1.5 + 3
-7 > 1.5  This is a false statement, therefore it is not part of the solution.
5 0
4 years ago
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