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oksano4ka [1.4K]
3 years ago
6

What is the equation of the line which

Mathematics
1 answer:
natka813 [3]3 years ago
5 0

Answer:

The equation of the line is y = (-1/2)x + 5

Step-by-step explanation:

m =  \frac{y2 - y1}{x2 - x1 }

First of all, have to find gradient using the formula above :

(2,4) & (14,-2)

m = (-2-4) / (14-2)

= -6 / 12

= -1/2

Second, using y = mx + b as b is a constant and is a y-intercept. Using any of these 2 coordinates to find the value of b with given gradient :

y = mx + b

Let y=4 & x=2

4 = (-1/2)(2) + b

b = 4 + 1

= 5

Lastly, put the value of gradient and y-intercept into the equation :

y = mx + b

Let m=-1/2 & b=5

y = (-1/2)x + 5

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3 years ago
Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$45 thousand less than twice that of an
Lera25 [3.4K]

Answer:

<h2>$58500</h2>

Step-by-step explanation:

 let the degree holder earn  x

 then a masters degree holder earns= (2x-45,000)

the comnined amount of the two degree holders=   (2x-45,000)+x

2x-45000+x=117000

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x=162000/3

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so bachelor'sdegree hold earns= $54000

a masters degree holder earns= (2(54000)-45,000)

a masters degree holder earns= (108000-45,000)

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6 0
3 years ago
As a sales person Jonathan is paid 50 per week +3% of the total Amount he sells. This week he wants to earn at least 100. Write
steposvetlana [31]

Answer:

The Inequality with integer coefficient for the total sales is 5000+3x\geq 10000

Hence Jonathan should make total sales of at least <u>1667</u> to earn at least 100.

Step-by-step explanation:

Given:

Amount paid per week = 50

Addition amount = 3% of Total sales.

Let the Total sales be 'x'.

∴ Additional amount = \frac{3}{100}x

Amount he wants to earn this week  \geq 100

We need to write the inequality with integer coefficient for the total sales and also to find the total sales.

Solution:

We cans say that;

Amount paid per week plus Additional amount should be greater than or equal to Amount he wants to earn this week.

framing in equation form we get;

50+\frac{3}{100}x\geq 100

Now we will make the denominator common using LCM we get;

\frac{50\times100}{100}+\frac{3}{100}x\geq 100

\frac{5000}{100}+\frac{3}{100}x\geq 100

\frac{5000+3x}{100}\geq 100

Multiplying both side by 100 we get;

100 \times\frac{5000+3x}{100}\geq 100\times 100\\\\5000+3x\geq 10000

Hence The Inequality with integer coefficient for the total sales is 5000+3x\geq 10000

On solving the above equation we get;

Subtracting both side by 5000 we get;

5000+3x-5000\geq 10000-5000\\\\3x\geq 5000

Dividing both side by 3 we get;

\frac{3x}{3}\geq \frac{5000}{3}\\\\x\geq 1666.67

Hence Jonathan should make total sales of at least <u>1667</u> to earn at least 100.

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