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3 years ago

What is the value of the expression below?

Mathematics

1 answer:

Usimov [2.4K]3 years ago

4 0

Answer:

D. 24 1/2

Step-by-step explanation:

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Use the initial term and the recursive formula to find an explicit formula for the sequence an. Write your answer in simplest fo

Ipatiy [6.2K]

Answer:

$a_n = -11-14n$

Step-by-step explanation:

Given

$a_1 = -25$

$a_n = a_{n-1}-14$

Required

The explicit formula

First, calculate $a_2$

Set n=2; So:

$a_2 = a_{2-1}-14$

$a_2 = a_{1}-14$

Substitute -25 for $a_1$

$a_2 = -25-14$

$a_2 = -39$

Calculate the common difference (d)

$d = a_2 - a_1$

$d = -39 --25$

$d = -14$

So, the nth term is:

$a_n = a_1 + (n - 1)d$

$a_n = -25+ (n - 1)*-14$

Open bracket

$a_n = -25-14n + 14$

Collect like terms

$a_n = 14-25-14n$

$a_n = -11-14n$

4 0

2 years ago

Max earns $9.30 per hour does part time job how much money will max earn if he works 1,5,8,H hours also how many hours will he w

nataly862011 [7]

Step-by-step explanation:

write a formula that models this.

9.30x = money earned

If he works 2 hours, he'll get $9.30 times (2)

and so on. so you write and solve

9.30(1), 9.30(5), 9.30(8)

for the second part you want to substitute 180 for the amount earned which will become

9.30x = 180 then you solve for x

3 0

3 years ago

If f(x) = x-1/3 and g(x)= 3x+1, what is (f o g)(x)?

N76 [4]

Answer:

$(f o g)(x) = 3x + \frac{2}{3}$

Step-by-step explanation:

We have the function $f(x) = x-\frac{1}{3}$ and we have the function $g(x) = 3x + 1$ . We want to find g(x) composed with f(x)

Then, the function (f o g)(x) is the same since f(g(x))

That is, you must do x = g(x) and then enter g(x) into the function f(x).

$f(g(x)) = (g(x)) -\frac{1}{3}$

$f(g(x)) = (3x + 1) -\frac{1}{3}$

Simplifying, we obtain:

$(f o g)(x) = 3x + 1 -\frac{1}{3}\\\\(f o g)(x) = 3x + \frac{2}{3}$

Finally. The composite function is:

$(f o g)(x) = 3x + \frac{2}{3}$

6 0

3 years ago

Find the circumference of a circle with a radius of 10. Leave in terms of pi

Alexus [3.1K]

The formula of a cirumference of a circle:

$C=2\pi r$

r - radius

We have r = 10. Substitute:

$C=2\pi(10)=20\pi$

<h3>Answer: C = 20π</h3>

6 0

3 years ago

Subtract 1/6a+3 from 1/3a−5<br> PLZ HELP ASAP

lukranit [14]

Answer:

1/3a - 5 - (1/6a + 3) =

1/3a - 5 - 1/6a - 3 =

1/3a - 1/6a - 5 - 3 =

2/6a - 1/6a - 8 =

1/6a - 8 <===

Step-by-step explanation:

5 0

3 years ago