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UkoKoshka [18]
3 years ago
5

Explicit and Recursive Functions:

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
7 0
In this problem we need to find the value of a and b. So given that t<span>he function should be in the form f(n) = an + b and we know each value of n, then out goal is to find a and b.

For getting this purpose, we need to find a system of two equations (given that we have two unknown variables)

Therefore:

(1) f(0) = a(1) + b = 18
</span>∴ a + b = 18
<span>
(2) f(1) = a(2) + b = 24
</span>∴ 2a + b = 24<span>

Solving for a and b we have:

a = 6
b = 12

Finally:

f(n) = 6n + 12</span>
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Solve. 14/n+7=10/n-4<br><br> N=5.25<br> N=3.5<br> N=31.5<br> N=30
Ilya [14]

Answer:

n=31.5

Step-by-step explanation:

The given question is:

\frac{14}{n+7}=\frac{10}{n-4}

Cross multiply to get:

14(n-4)=10(n+7)

Expand the parenthesis:

14n-56=10n+70

Group similar terms:

14n-10n=70+56

Combine the like terms

4n=126

Divide both sides by 4

n=\frac{126}{4}

n=31.5

5 0
3 years ago
Carroll’s is putting a border around the edge of a rectangular bulletin board. One side of the bulletin board measures 2 feet an
guapka [62]
Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

First let's establish that the problem requires the border to be as long as the total perimeter of the rectangular bulletin board.

Therefore:

Total length of border = Perimeter of rectangular bulletin board

As a rectangle has a total of four sides with two equivalent longer sides and two equivalent shorter sides, we must multiply the value of each of the two sides by two.

Total length of border = 2 ( 2 ) + 2 ( 4 )

Total length of border = 4 + 8

Total length of border = 12 feet

12 > 10

ANSWER:

Therefore, 10 feet of border isn't enough.

Please mark as brainliest if you found this helpful! :)
Thank you <3
4 0
3 years ago
How many decimals in 1000
yarga [219]

Answer:

if your number is 1000 there should be one decimal at the end so it should be 1000. Because 1000. And 1000 are the same thing

Step-by-step explanation:

4 0
3 years ago
Please help me!!! almost done but can’t find this answer!!! thanks
ivolga24 [154]
A, C & E!!! your welcome btw
4 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!
nataly862011 [7]

Answer:  \bold{-\dfrac{1}{2}}

<u>Step-by-step explanation:</u>

Average rate of change is the slope (m) between the two coordinates (-1, -1) and (1, -2).

m=\dfrac{y_2-y_1}{x_2-x_1}

m = \dfrac{-2+1}{1+1}

   =-\dfrac{1}{2}


8 0
3 years ago
Read 2 more answers
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