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3 years ago

15

unit price—- a long distance phone charge of $1.40 for 10 minutes, or $4.50 for 45 minutes —- show work^

1 answer:

damaskus [11]3 years ago

4 0

1.40/10= $0.14
4.5/45= $0.10

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7. Are the ordered pairs below an arithmetic sequence or geometric

DochEvi [55]

Answer:

8. Arithmetic Progression

9. $f(9) = 300$

Step-by-step explanation:

Given

$\{(1,55)\ (2, 45)\ (3, 35)\ (4, 25)\}$

Solving (8): Arithmetic or Geometric

We start by checking if it is arithmetic by checking for common difference (d).

$d = y_2 - y_1 = y_3 - y_2 = y_4 - y_3$

This gives:

$d = 45 - 55 = 35 - 45 = 25 - 35$

$d = -10 = -10 = -10$

$d=-10$

<em>Because the common difference is equal, then it is an arithmetic progression</em>

<em></em>

Solving (8):

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

To find f(9), we substitute 9 for n

$f(9) = f(1) + f(9-1)$

$f(9) = f(1) + f(8)$

We need to solve for f(8); substitute 8 for n

$f(8) = f(1) + f(8 - 1)$

$f(8) = f(1) + f(7)$

We need to solve for f(7); substitute 7 for n

$f(7) = f(1) + f(7 - 1)$

$f(7) = f(1) + f(6)$

We need to solve for f(6); substitute 6 for n

$f(6) = f(1) + f(6 - 1)$

$f(6) = f(1) + f(5)$

We need to solve for f(5); substitute 6 for n

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

$f(5) = f(1) + f(4)$

From the function, f(4) = 25 and f(1) = 55.

So:

$f(5)=55 + 25$

$f(5)=80$

$f(6) = f(1) + f(5)$

$f(6) = 55 + 80$

$f(6) = 135$

$f(7) = f(1) + f(6)$

$f(7) = 55 + 135$

$f(7) = 190$

$f(8) = f(1) + f(7)$

$f(8) = 55 + 190$

$f(8) = 245$

$f(9) = f(1) + f(8)$

$f(9) = 55 + 245$

$f(9) = 300$

8 0

3 years ago

Write an equation of a line that is perpendicular to y=2x-3 and has a y intercept of 10

AnnyKZ [126]

The slope of a line that is perpendicular to another line is the negative reciprocal of the other.

In this case, we know that the slope of the given equation is 2.

Since we're solving for a line perpendicular to it, we simply find the reciprocal of the 2 (It turns into 1/2) and make it negative.

y = -1/2x + b

Since the given states that the new y-intercept is 10, input it into 'b'.

y = -1/2x + 10

If you'd like me to explain anything I did here, just ask :)
-T.B.

4 0

2 years ago

Evaluate: a) n!/(n-3)!<br>b) P(6,4)/4!

telo118 [61]

Step-by-step explanation:

a).

n! is

$n(n - 1)(n - 2)(n - 3)(n - 4).........(1)$

(n-3)! is

$(n - 3)(n - 4)(n - 5)..........(1)$

If we divide the two, everything behind (n-3) will just cancel out so we would be left with only

$(n)(n - 1)(n - 2)$

So the answer to a is

$n(n - 1)(n - 2)$

b

Permutations formula of P(6,4) is

6!/(6-4)!, or 6!/2!.

$\frac{6 \times 5 \times 4 \times 3 \times 2 \times 1}{2 \times 1} = 360$

Then we divide by 4!

$\frac{360}{4 \times 3 \times 2 \times 1} = 15$

The answer to b is 15

3 0

1 year ago

The base of a skyscraper is a triangle bordered by three streets: Main Street, Elm Street, and Maple Street. The Elm Street side

Kobotan [32]

Answer:

Step-by-step explanation:

1. 93

2.184

4 0

2 years ago

Solve for x<br> x+1=−10<br> x=?<br> Tell me what x is

melisa1 [442]

<h3>♫ :::::::::::::::::::::::::::::: // Hello There ! // :::::::::::::::::::::::::::::: ♫</h3>

➷ x + 1 = -10

- 1 from both sides to isolate x

x = -10 - 1

Solve:

x = -11

<h3><u>❄️</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

8 0

3 years ago