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Delvig [45]
2 years ago
7

Write a linear equation given the point and slope or two points.

Mathematics
1 answer:
attashe74 [19]2 years ago
5 0

Answer:

1) y = -2x - 1

2) y = -3/4 + 3

3) y = 4x + 9

4) y = - 5/3x - 2

Step-by-step explanation:

b = y - m*x

1) (-7,13) and slope: -2

b = 13 - (-2)*(-7)

b = 13 - 14

b = -1

2) (4,6) lope = -3/4

b = 6 - (-3/4)*(-4)

b = 6 - 3

b = 3

y = -3/4x + 3

3) (-5,-11) and (3,-7)

Slope: (1 - - 11)/(-2 - - 5) = 12/3

= 4

b = -11 - (4) (-5) = 9

b = 9

4) slope = (-7 - 8)/(3- - 6)

= -15/9 = - 5/3

b = 8 - (-5/3)*(-6)

b = 8 - 10

b = -2

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The function C(x)=−15x+2304 represents the cost to produce x items. What is the least number of items that can be produced so th
Alexus [3.1K]

Answer:

152

Step-by-step explanation:

Given the function :

C(x)=−15x+2304

The least Number of items, x that can be produced so that average cost does not exceed $33

C(x) = less than or equal to 33

33 = - 15x + 2304

33 - 2304 = - 15x

-2271 = - 15x

x = 2271 / 15

x = 151. 4

Hence, the least number of items that can be produced is 152

3 0
2 years ago
Work out the surface area of this sphere.<br> Give your answer to 1 decimal place.
bearhunter [10]

Answer:

452.4

Step-by-step equation:

surface area of a sphere formula= 4πr²

plug 6 in for r

4π(6)² =452.389 rounded  to 452.4

7 0
3 years ago
15m is what percent of 1.5km?
Papessa [141]
1.5km = 1500m
To find the percentage take 15 and divide it by 1500, then times by 100
15/1500 x 100 = 1%
3 0
3 years ago
Hurry please!
Alexus [3.1K]

Answer:

C. $8483

Step-by-step explanation:

To find the  coffee sales, we plug in the value of x as 34 into y = 60x + 6443.

  • y=60(34)+6443
  • y=2040+6443
  • y=8483

Therefore, the answer is C. $8483.00.

3 0
2 years ago
The "off-peak" weekly average cost of hiring a caravan in Wales is 520. In July the average cost increases to 800. calculate the
Artemon [7]
For this case you can solve the problem by applying a simple rule of three in which we have
 520 ---> 100%
 800 ---> x

 Clearing x we have
 x = (800/520) * 100 = 154%
 the percentage increase in cost was
 154-100 = 54%
 answer
 the percentage increase in cost was 54%
8 0
3 years ago
Read 2 more answers
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