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3 years ago

Which equation represents a line that passes through (2, - 1/2) and has a slope of 4 ?

Mathematics

1 answer:

solmaris [256]3 years ago

7 0

Answer:

y=4x-8.5

Step-by-step explanation:

Use point- slope form, since you are given one point and one slope.

y-y₁=m(x-x₁)

Plug coordinates and slope in.

y-(-1/2)=4(x-2)

Solve

y+1/2=4x-8

y=4x-8.5

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The time required for workers to produce each unit of a product decreases as the workers become more familiar with the productio

Marat540 [252]

Answer: 2.79 hours.

Step-by-step explanation:

Given that the function for the learning process is T(x) = 2 + 0.3 1 x , where T(x) is the time, in hours, required to produce the xth unit

To calculate the time for the new worker to produce 10 units, substitute 10 for x in the equation above.

T(x) = 2 + 0.31 (10)

T(x) = 2 + 3.1

T(x) = 5.1 hours

To calculate the time for the new worker to produce 19 units, substitute 19 for x in the equation above.

T(x) = 2 + 0.31(19)

T(x) = 2 + 5.89

T(x) = 7.89 hours

The time required for a new worker to produce units 10 through 19 will be

7.89 - 5.1 = 2.79 hours

7 0

3 years ago

Solve the equation shown for x. 2/3 x -4 1/2 = -8

liq [111]

The answer would be -5 1/4

4 0

3 years ago

Read 2 more answers

The surface areas of two similar hexagonal prisms are 882cm² and 1,058 cm²? What is the scale factor of the smaller

max2010maxim [7]

Answer:

scale factor of the smaller prism to the larger prism is B. 21/23

Step-by-step explanation:

Given

surface areas of two similar hexagonal prisms are 882cm² and 1,058 cm²?

scale factor is ratio of sides of two similar objects

thus scale factor for given prism will be = side of smaller prism / side of larger prism

in general rule

If shape of solid has scale factor of k

scale factor of area = k²

scale factor of volume = k³

_____________________________

Given in the problem area of two prism is given

we know area = side^2

scale factor of area = k²

k^2 = area of smaller prism / area of larger prism

$k^2 = 882 / 1058 = 441/529\\k = \sqrt{ 441/529} \\k = 21/23$

Thus, correct option is B 21/23.

7 0

3 years ago

If copies cost .08 per copy but you buy a fuscount card for 7.50 and the copies are .05 how many copies will make it worth the d

timurjin [86]

Answer:

<u>The number of copies that will make it worth the discount card is 250.</u>

Step-by-step explanation:

1. Let's review the information provided to answer the question correctly:

Cost per copy without discount = US$ 0.08

Cost per copy with discount = US$ 0.05

Cost of discount card = US$ 7.50

2. How many copies will make it worth the discount card?

For finding out this number of copies, we will use the following equation:

x = Number of copies that will make it worth the discount card

0.08x = 0.05x + 7.50

0.03x = 7.50 (Like terms)

3x = 750 (Multiplying by 100 at both sides)

x = 250 (Dividing by 3 at both sides)

<u>The number of copies that will make it worth the discount card is 250.</u>

Note: Same answer to question 14127203, answered by me today.

7 0

3 years ago

An ancient Roman coin is found and a curious anthropologist wishes to determine if the coin is fair— Fair meaning that when flip

Mamont248 [21]

The coin wouldn't be fair, because it landed on heads 72/100 times. If the coin was fair, the results should be equivalent to 1/2.

7 0

3 years ago

Read 2 more answers