What is an equation in point-slope form of the line that passes through the point (8, 5) and has slope −7?

Mathematics

1 answer:

Masteriza [31]2 years ago

7 0

Answer:

y - 5 = -7(x - 8)

Step-by-step explanation:

We can immediately adapt y - k = m(x - h) as follows: replace m with -7, h with 8 and k with 5, obtaining:

y - 5 = -7(x - 8)

This is the desired equation in point-slope form.

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Samuel and Christopher go to the movie theater and purchase refreshments for their friends.

insens350 [35]

Answer:

Drink=5.75

Popcorn=1.83

Percentage for drink=75.9%

Step-by-step explanation

Let the popcorn be p

the drinks be d

6p+4d=34....(1)

12p+7d=66.25...(2)

Multiply (1) by 2

12p+8d=72....(3)

Substrate (2) from (3)

d=5.75

Substitute the value for d into (1)

6p+4(5.75)=34

6p+23=34

Substrate 23 from both sides

6p=11

Divide both sides by 6

p=1.83

So for one drink=$5.75

For one popcorn=$1.83

To determine the% for drink

5.75+1.83=7.58

5.75/7.58 ×100

575/7.58

75.858~75.9%

The percentage for drink is 75.9%

7 0

3 years ago

Write the first five terms of a sequence. Don’t make your sequence too simple. Write both an explicit formula and a recursive fo

Valentin [98]

Answer: The answer is 5, 10, 20, 40 and 80.

Step-by-step explanation: We are to write the first five terms of a sequence, along with the explicit and recursive formula for the general term of the sequence.

Let the first five terms of a sequence be 5, 10, 20, 40 and 80. These terms are taken from a geometric sequence with first term $a_1 5$ and common ratio $r=2.$