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worty [1.4K]
3 years ago
8

Write a function rule for our pattern. 84, 90, 96, 102, 108, …. You may use f(x) or the explicit formula. Use AN for the explici

t formula.
Mathematics
1 answer:
enyata [817]3 years ago
6 0

Answer:

For the given sequence, the function rule is f(x) = 84 + 6(n-1) where 'n' represents the number of the term in the sequence.

Step-by-step explanation:

For any given sequence, you need to first find the pattern, or relationship between the numbers.  In this case, you can see that the numbers increase by six each time.  The general formula for an arithmetic sequence, also called explicit formula, is a(n) = a(1) + d(n-1) where a(n) represents the term in the sequence; a(1) is the first term in the sequence; d=the common difference; and n=term number.  When we plug in the values from the question a(1) = 84 and d = 6 to get our final equation.

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Help please and thanks! I always give brainliest!
Alika [10]

Answer:

X = 18

y = 9

Step-by-step explanation:

Basically the 2 diagnols bisect each other making them congruent. so that makes

x-3 = 15 and y + 3 = 12

simplify and

the. you simplify and get x = 18 and y =9

3 0
2 years ago
Match the factored form
Brut [27]
(3x - 8)(3x + 8) is 3.) 9x^2 - 64
(x + 6)^2 is 4.) x^2 + 12x + 36
(3x - 2)(x + 5) is 1.) 3x^2 + 13x - 10
5x(x - 1)(x + 7) is 2.) 5x^3 + 30x^2 - 35x
(x - 8)(x + 7) is 5.) x^2 - 10x + 16

I hope this helps!
7 0
3 years ago
Please help ....this is due tomorrow
marshall27 [118]

A) 0.15 times $2,570 = $412.50

B) $122.85 times 2( 12 ) = $2,948.40

C) $2,570

D) All together it's  $2,948.40 + $2,570 = $5,518.40

For D I didn't add the down payment because it's not an additional charge.

I only did the first one because I don't know if you want me to finish the rest.

Hope I helped :)

5 0
3 years ago
In a recent survey, 60% of the community favored building a health center in their neighborhood. If 14 citizens are chosen, find
andreev551 [17]

Answer:

Probability that exactly 5 of them favor the building of the health center is 0.0408.

Step-by-step explanation:

We are given that in a recent survey, 60% of the community favored building a health center in their neighborhood.

Also, 14 citizens are chosen.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 14 citizens

         r = number of success = exactly 5

        p = probability of success which in our question is % of the community

              favored building a health center in their neighborhood, i.e; 60%

<em>LET X = Number of citizens who favored building of the health center.</em>

So, it means X ~ Binom(n=14, p=0.60)

Now, Probability that exactly 5 of them favor the building of the health center is given by = P(X = 5)

        P(X = 5) = \binom{14}{5} \times 0.60^{5} \times (1-0.60)^{14-5}

                      = 2002 \times 0.60^{5} \times 0.40^{9}

                      = 0.0408

Therefore, Probability that exactly 5 of them favor the building of the health center is 0.0408.

4 0
3 years ago
Evaluate. –1.65 + (–3.4)
elena55 [62]
Hey there! 

This seems like a algebraic expression

SO,
Remember: negative and negative = positive
                      positive and positive = positive
                     positive and negative = negative
                       negative and positive = negative

In this problem we will be doing negative and negative so that means our answer will be a negative 

Firstly, lets line up our decimals to solve this problem (once when you do that , you can solve it easier)

-1.65 &#10;\\ +&#10;\\ (-3.4)&#10;

Answer: 
-5.05

Good luck on your assignment and enjoy your day

~LoveYourselfFirst:)
6 0
4 years ago
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