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Leokris [45]
3 years ago
12

Which is the equation for the line that has a slope of 12 and passes through the point (3, 20)?

Mathematics
1 answer:
sasho [114]3 years ago
4 0

Answer:

y=12x-16

Step-by-step explanation:

y-y1=m(x-x1)

y-20=12(x-3)

y=12x-36+20

y=12x-16

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Nemecek Brothers make a single product on two separate production lines, A and B. Its labor force is equivalent to 1000 hours pe
frez [133]

Answer:

(a) The inequality for the number of items, x, produced by the labor, is given as follows;

250 ≤ x ≤ 600

(b) The inequality for the cost, C is $1,000 ≤ C ≤ $3,000

Step-by-step explanation:

The total time available for production = 1000 hours per week

The time it takes to produce an item on line A = 1 hour

The time it takes to produce an item on line B = 4 hour

Therefore, with both lines working simultaneously, the time it takes to produce 5 items = 4 hours

The number of items produced per the weekly labor = 1000/4 × 5 = 1,250 items

The minimum number of items that can be produced is when only line B is working which produces 1 item per 4 hours, with the weekly number of items = 1000/4 × 1 = 250 items

Therefore, the number of items, x, produced per week with the available labor is given as follows;

250 ≤ x ≤ 1250

Which is revised to 250 ≤ x ≤ 600 as shown in the following answer

(b) The cost of producing a single item on line A = $5

The cost of producing a single item on line B = $4

The total available amount for operating cost = $3,000

Therefore, given that we can have either one item each from lines A and B with a total possible item

When the minimum number of possible items is produced by line B, we have;

Cost = 250 × 4 = $1,000

When the maximum number of items possible, 1,250, is produced, whereby we have 250 items produced from line B and 1,000 items produced from line A, the total cost becomes;

Total cost = 250 × 4 + 1000 × 5 = 6,000

Whereby available weekly outlay = $3000, the maximum that can be produced from line A alone is therefore;

$3,000/$5 = 600 items = The maximum number of items that can be produced

The inequality for the cost, C, becomes;

$1,000 ≤ C ≤ $3,000

The time to produce the maximum 600 items on line A alone is given as follows;

1 hour/item × 600 items = 600 hours

The inequality for the number of items, x, produced by the labor, is therefore, given as follows;

250 ≤ x ≤ 600

8 0
3 years ago
Plz help asap !! The high school jazz band is selling homemade leather bracelets at a local craft fair to raise money for a trip
torisob [31]

Answer:

y = 2x - 200

Step-by-step explanation:

The function type that would model this relationship is linear because for each bracelet sold, the jazz band would increase their profit by $2.  Since it has a consistent rate, it is linear.  Using the slope-intercept formula of y = mx + b, where 'm' is the rate and 'b' is the initial value, you can use $2 for the rate or cost per bracelet and -$200 for the initial value or cost of supplies:

y = 2x - 200, where '2' is the cost per bracelet, 'x' the number of bracelets sold, '-200' is the cost for supplies and 'y' is the profit.

6 0
3 years ago
Read 2 more answers
Linda and Colleen both leave the library at the same time, but in opposite direction. If Colleen travels 8mph faster than Linda
pshichka [43]
X - Linda's speed
(x+8 )- Colleen's speed

8x - Linda's distance for 8 h
8(x+8) = 8x+64  - Colleen's distance for 8 h

8x + 8x + 64 = 176 - distance between Colleen and Linda after 8 h


8x + 8x + 64 = 176 
16x +64 = 176
16x = 176 - 64
16x = 112
x= 7 mph Linda's speed
x+8
= 7+8 = 15 mph Colleen's speed
8 0
3 years ago
Is the relation is a function?
Art [367]

Answer:

Step-by-step explanation:

Not a Function​ because : (-20, - 7) and (-20,- 10)

each element must associate with a single

-20 to associate two elements: -10; -7

3 0
3 years ago
What is y + 2/5 y equivalent to
Lerok [7]
7/5y. you add the 2/5y to the 5/5y and get 7/5y
8 0
3 years ago
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