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3 years ago

Solve: 28 − ≥ 7( − 4) (show your work) real answers only pls :(

Mathematics

1 answer:

ohaa [14]3 years ago

6 0

You’ll distribute the 7 from (x-4) so your equation will be
28-x>_ 7x-28
then you’ll combine like terms (-x and 7x and 28 and -28
-56>_ -8x
divide by -8 on both sides and flip your sign
you’re answer is x<_7
x is less then or equal to 7

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Given the explicit expression f (n) = 5n - 2, write a set showing the sequence, and write a recursive expression.

denpristay [2]

Answer:

$f(n) = 5 + f(n - 1)$

Step-by-step explanation:

Given

$f(n) = 5n - 2$

Required

Write a recursive expression

$f(n) = 5n - 2$

When n = 1

$f(1) = 5 * 1 - 2 = 5 - 2 = 3$

$f(1) = 3$

When n = 2

$f(2) = 5 * 2 - 2 = 10 - 2 = 8$

$f(2) = 8$ can be rewritten as

$f(2) = 5 + 3$

Substitute 3 for f(1)

$f(2) = 5 + f(1)$

Express 1 as 2 - 1

$f(2) = 5 + f(2-1)$ ----- (1)

When n = 3

$f(3) = 5 * 3 - 2 = 15 - 2 = 13$

$f(3) = 13$ can be rewritten as

$f(3) = 5 + 8$

Substitute 8 for f(2)

$f(3) = 5 + f(2)$

Express 2 as 3 - 1

$f(3) = 5 + f(3 - 1)$ ------ (2)

Write out (1) and (2)

$f(2) = 5 + f(2-1)$

$f(3) = 5 + f(3 - 1)$

Replace 2 and 3 with n in both cases; This gives

$f(n) = 5 + f(n - 1)$

Hence;

The recursive is $f(n) = 5 + f(n - 1)$

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3 years ago

Clara invests $5,000 in an account that pays 6.25% interest per year. After how many years will her investment be worth $10,000?

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T=log(10000/5000)/log(1.0625)=11.4y

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3 years ago

2. What does y equal? *<br> y+3/4 = 6

kakasveta [241]

Answer:

3rd option

Step-by-step explanation:

Given

y + $\frac{3}{4}$ = 6 ( multiply through by 4 to clear the fraction

4y + 3 = 24 ( subtract 3 from both sides )

4y = 21 ( divide both sides by 4 )

y = $\frac{21}{4}$ = 5 $\frac{1}{4}$

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3 years ago

Tickets to a baseball game cost $18.95, $12.95, or $9.95. A hot dog and soda combo costs $5.50. The Madison family is having a r

I am Lyosha [343]

Hmmm Interesting: 189.5+129.5+99.5+53
I got 471.5 Dollars....

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3 years ago

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A college with a graduating class of 4000 students in the year 2010 predicts that its graduating class will grow 5% per year.

anastassius [24]

Hello,

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