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insens350 [35]
4 years ago
13

3x-2y=6 y=3/2x-3 Find the slope, x-intercept, and y-intercept for both equations.

Mathematics
1 answer:
lys-0071 [83]4 years ago
8 0

The slope-intercept form: y = mx + b

m - slope

b - y-intercept

We have 3x - 2y = 6       <em>subtract 3x from both sides</em>

-2y = -3x + 6      <em>divide both sides by -2</em>

y = 3/2 x - 3

slope: m = 3/2

y-intercept: b = -3

x-intercept for y = 0. Substitute:

3/2 x - 3 = 0      <em>add 3 to both sides</em>

3/2 x = 3       <em>multiply both sides by 2/3</em>

x = 2

<h3>Answer:</h3><h3>slope = 3/2</h3><h3>y-intercept = -3</h3><h3>x-intercept = 2</h3>

----------------------------------------------------------------

y = 3/2 x - 3 it's the same function like first function.

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2 years ago
A company studied the number of lost-time accidents occurring at its Brownsville, Texas, plant. Historical records show that 6%
Georgia [21]

Answer:

a

\% E =  0.9 \%

b

\%E_1 = 10.1 \%

Step-by-step explanation:

From the question we are told that

The probability that an employees suffered lost-time accidents last year is P(e) =  0.06

The probability that an employees suffered lost-time accident during the current year is

P(c) =  0.05

The probability that an employee will suffer lost time during the current year given that the employee suffered lost time last year is

P(c | e) =  0.15

Generally the probability that an employee will experience lost time in both year is mathematically represented as

P(c \ n \ e) =  P(e) *  P(c \ |\ e)

=> P(c \ n \ e) =  0.06*   0.15

=> P(c \ n \ e) = 0.009

Generally the percentage of employees that will experience lost time in both year is mathematically represented as

\% E =  P(e \ n \ c ) * 100

=> \% E =  0.009 * 100

=> \% E =  0.9 \%

Generally the probability that an employee will experience at least one lost time accident over the two-year period is mathematically represented as

P(e \ u \ c) =  P(e) + P(c) - P(e \ n \  c)

=> P(e \ u \ c) =  0.06 + 0.05 - 0.009

=> P(e \ u \ c) =  0.101

Generally the percentage of the employees who will suffer at least one lost-time accident over the two-year period is mathematically represented as

\%E_1 = P(e \ u \ c) *  100

=> \%E_1 = 0.101*  100

=> \%E_1 = 10.1 \%

7 0
4 years ago
-19m^2 numerical coefficient is ?
Makovka662 [10]

your answer would be -19

7 0
4 years ago
mary works for a commission of 12% on all goods she sell for the month if her basic salary is 3000 per month and she sells $2500
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Answer:

3300

Step-by-step explanation:

Formula

Gross Salary = Basic + Commission

Givens

Basic = 3000

% = 12%

Solution

Gross = 3000 + 12/100 * 2500

Gross = 3000 + 30000/100

Gross = 3000 + 300

Gross = 3300

3 0
3 years ago
Find the angle, in degrees between 0 and 360∘, which intersects the unit circle at the point (−1/2,3/√2).
Vlada [557]

Answer:

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Step-by-step explanation:

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I add 90 base on the coordinate , taking the centre of the circle place at origin

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