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3 years ago

Solve each equation for y (get into slope-intercept/y=mx + b form):

Mathematics

1 answer:

Gwar [14]3 years ago

3 0

Answer:

Step-by-step explanation:

In order to do this we need to isolate y by performing the inverse operations on the other values like so...

a) 10x + 5y = 20 ... subtract 10x on both sides

5y = 20 - 10x ... divide both sides by 5

y = 4 - 2x ... we can move the 2x to the right to make it into y = mx + b

y = -2x + 4

b) 3x - 2y = 10 + 4x ... subtract 3x on both sides

-2y = 10 + x ... divide both sides by -2

y = -5 - 0.5x ... move -0.5 to the left so it matches y = mx + b

y = -0.5x - 5

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2 years ago

1. In a factory, all employees work a basic week of 38 hours. Any overtime worked during week-days is paid for at time and a hal

Troyanec [42]

Answer:

Step-by-step explanation:

1. reg pay: 8.96,week days: 1.5 overtime pay, sat: double pay, sun: triple pay

38 hrs regular pay : 38 * 8.96 = 340.48

15 hrs overtime during week : 15 * 1.5(8.96) = 15 * 13.44 = 201.60

3 hrs overtime on saturday: 3 * 2(8.96) = 3 * 17.92 = 53.76

2 hrs overtime on sunday: 2 * 3(8.96) = 2 * 26.88 = 53.76

Gross wage = (340.48 + 201.60 + 2(53.76) = 649.60 <====

===============================

2. reg pay : 14.60, weekday pay: 1.25,sat pay: 1.5 , sun pay: double

(a) basic wage = 40(14.60) = 584 <==

(b) overtime wage : 15 * 1.25(14.60) + 6 * 1.5(14.60) + 5 * 2(14.60) = (15 * 18.25) + (6 * 21.9) + (5 * 29.2) = 273.75 + 131.40 + 146 = 551.15 <==

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3. basic work wk: 40 hrs...earned 518...overtime 148

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3 years ago

It is possible to multiply a 3 x 5 matrix and a 3 x 5 matrix.<br> O True<br> O False

oksian1 [2.3K]

Answer:

False

Step-by-step explanation:

In order to perform matrix multiplication, the number of columns in the first matrix must be the same as the number of rows in the second matrix.

In this case, the number of columns in the first matrix is 5 and the number of rows in the second column is 3 therefore they aren't the same value, hence, cannot be multiplied

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ira [324]

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3 years ago

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