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bazaltina [42]
3 years ago
5

If the 3rd and 9th term of an ap are 4 and -8 respectively then which term of AP is zero​

Mathematics
1 answer:
Anon25 [30]3 years ago
8 0

Answer:

fifth term

Step-by-step explanation:

The n th term of an AP is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₃ = 4 and a₉ = - 8 , then

a₁ + 2d = 4 → (1)

a₁ + 8d = - 8 → (2)

Subtract (1) from (2)

6d = - 12 ( divide both sides by 6 )

d = - 2

Substitute d = - 2 into (1)

a₁ + 2(- 2) = 4

a₁ - 4 = 4 ( add 4 to both sides )

a₁ = 8

Thus equating the n th term formula to zero and solving for n

8 - 2(n - 1) = 0 ( subtract 8 from both sides )

- 2(n - 1) = - 8 ( divide both sides by - 2

n - 1 = 4 ( add 1 to both sides )

n = 5

The fifth term is equal to zero

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The domain of the function f(x)=3x-6/x is {-3, -1, 2, 4, 5}. What is the function's range?
Maslowich
<span> f(x)=[3x-6]/x is {-3, -1, 2, 4, 5}

</span> f(-3)=[3(-3) -6]]/-3 = -15/-3 = 5
 f(-1)=[3(-1) -6]]/-1= -9/-1 = 9
 f(2)=[3(2) -6]]/2 = 0/2 = 0
 f(4)=[3(4) -6]]/4 = 6/4 = 1.5
 f(5)=[3(5) -6]]/5 = 9/5 = 1.8
<span>
answer is 

</span><span>c {5, 9, 0, 1.5, 1.8} </span>
3 0
3 years ago
Read 2 more answers
Translate and solve: Three more than the difference of 6s and 5s is equal to the difference of 1/12 and 1/6
PilotLPTM [1.2K]

Answer:

a. (6s-5s)+3=\frac{1}{12}-\frac{1}{6}

b. s=-\frac{37}{12}

Step-by-step explanation:

You need to remember that:

1. The word "more" indicates Addition.

2. The "Difference" is the result of a Subtraction.

a. Then, knowing this information, you know that:

- "The difference of 6s and 5s" must be expressed as:

6s-5s

- Then, "Three more than the difference of 6s and 5s " is:

(6s-5s)+3

- "The difference of  \frac{1}{12} and \frac{1}{6} " can be expressed in this form:

\frac{1}{12}-\frac{1}{6}

Therefore, "Three more than the difference of 6s and 5s is equal to the difference of  \frac{1}{12} and \frac{1}{6} " is:

(6s-5s)+3=\frac{1}{12}-\frac{1}{6}

b. Solve for "s" in order to find its value:

s+3=-\frac{1}{12}\\\\12(s+3)=-1\\\\12s+36=-1\\\\12s=-1-36\\\\s=-\frac{37}{12}

8 0
3 years ago
a. A 2017 poll found that 56​% of college students were very confident that their major will lead to a good job. If 15 college s
lesya [120]

Answer:

0.01083 or 1.083%

Step-by-step explanation:

This problem can be modeled as a binomial probability model with probability of success p = 0.56.

The probability of x=13 successes (a college student being very confident their major would lead to a good job) in a number of trials of n=15 is:

P(X=x) = \frac{n!}{(n-x)!x!} *p^x*(1-p)^{n-x}\\P(X=13) = \frac{15!}{(15-13)!13!} *0.56^{13}*(1-0.56)^{15-13}\\P(X=13) = 0.01083=1.083\%

The probability is 0.01083 or 1.083%.

8 0
2 years ago
What is the answer for x ?
Bingel [31]
I think its probaly going to be 6
5 0
3 years ago
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Solve ΔABC with ABC=51°, c=8 and a=11. Draw a diagram.
Rashid [163]

To solve a triangle means to obtain al the missing parts of the triangle.

<h3>How do you solve a triangle?</h3>

To solve a triangle means to obtain al the missing parts of the triangle. Now we have the following information;

<ABC = 51°

c = 8

a = 11

Then;

b^2 = a^2 + c^2 - 2acCos B

b^2 = (11)^2 + (8)^2 - [2 * 11 * 8 * cos 51]

b^2 = 121 + 64 - 55.38

b = 11.39

Now;

a/sinA = b/sinB

asinB = bsinA

sinA = asinB/b

sinA = 11 * sin 51/11.39

A = 48.6 or 49°

C = 180 - (49 + 51)

C = 80°

Learn more about triangles:brainly.com/question/2773823

#SPJ1

7 0
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