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topjm [15]
3 years ago
14

Xsquare + 10x + 16 equals 0

Mathematics
1 answer:
inn [45]3 years ago
7 0
X^2+10x+16=0

First, you find factors of 16.
1 x 16
2 x 8
4 x 4

Next, you find which of the factor pairs adds up to 10 (from the 10x). In this case, 2 x 8 because 2 times 8 is 16 and 2 plus 8 is 10.

Then, the equation will be written out as: (x+2) (x+8). Take those two equations and set them equal to 0, and then solve.

x+2=0
-2 -2
x=-2

x+8=0
-8 -8
x=-8

So, your answers are x=-2 and x=-8. You can check by plugging in those two numbers as x.

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The first element in an arithmetic sequence is 2. Its twenty second is 14. Find the value of n so that a(n)=6
Aleks04 [339]

Answer:

<h2>n = 8</h2>

Step-by-step explanation:

Given the nth term of an arithmetic sequence to be Tn = a+(n-1)d

a = first term of the sequence

n = number of terms

d = common difference.

Given the first element a = 2 and 22nd to be 14

T22 = a+(22-1)d = 14

a+21d = 14

Substtuting a = 2 into the equation to get d

2+21d = 14

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d = 12/21

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The nth term of the sequence given a = 2 and d = 4/7 will be expressed as;

Tn = 2+(n-1)4/7

Given Tn = 6

6 = 2+(n-1)4/7

6 = 2+4/7 n - 4/7

6-2+4/7 = 4/7 n

32/7=4/7 n

32 = 4n

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n = 8

8 0
3 years ago
Write an equation in point-slope form for the line that passes through the point with the given slope. point: (4,2) and m=3
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Answer:

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Step-by-step explanation:

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3 years ago
IL<br> 8x-9<br> 5x-3<br> What’s x
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Step-by-step explanation:

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Move any equation to the opposite side. I'll use the left this time

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move 6 to opp side

- 3x =  - 6

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3 years ago
To rent a certain meeting room, a college charges a reservation fee of $18 and an additional fee $5 of per hour. The chemistry c
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Answer:

You need the minimum cost for renting the meeting room given the following info

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So the cost will vary with the time, t you use the inequality below

5t + 18 ≤ 58

You can solve this to get that minimum

You can check you answer by graphing it.

I hope this helps!<3

3 0
3 years ago
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