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1 year ago

What is the slope of the line shown below (3 9)(-4 2)

Mathematics

1 answer:

Semenov [28]1 year ago

7 0

Answer:

slope = 1

Step-by-step explanation:

calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (3, 9 ) and (x₂, y₂ ) = (- 4, 2 )

m = $\frac{2-9}{-4-3}$ = $\frac{-7}{-7}$ = 1

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Write 27% as a fraction.

Reil [10]

Answer:

27/100

Step-by-step explanation:

27%= 0.27= 27/100 which cannot be reduced

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2 years ago

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What is 4 & 1/2 ÷ 1/4?

marta [7]

Answer:

Step-by-step explanation:

Convert the mixed number to an improper fraction 9/2÷1/4

Reduce the numbers with the greatest common factor 2

and then multiply the numbers 9×2=18 ✅

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2 years ago

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Simplify (5x2 + x – 11) – (3x² + 4x – 17)

tatiyna

Answer:

2 x^2 - 3 x + 6

Step-by-step explanation:

Simplify the following:

-(3 x^2 + 4 x - 17) + 5 x^2 + x - 11

-(3 x^2 + 4 x - 17) = -3 x^2 - 4 x + 17:

-3 x^2 - 4 x + 17 + 5 x^2 + x - 11

Grouping like terms, 5 x^2 - 3 x^2 + x - 4 x - 11 + 17 = (5 x^2 - 3 x^2) + (x - 4 x) + (-11 + 17):

(5 x^2 - 3 x^2) + (x - 4 x) + (-11 + 17)

5 x^2 - 3 x^2 = 2 x^2:

2 x^2 + (x - 4 x) + (-11 + 17)

x - 4 x = -3 x:

2 x^2 + -3 x + (-11 + 17)

17 - 11 = 6:

Answer: 2 x^2 - 3 x + 6

3 0

3 years ago

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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 1667 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 1667 to earn at least 100.

5 0

3 years ago

What is the equation in slope-intercept form of the line that has a slope of -2/3, and passes through the point (6, 2)?

Jet001 [13]

Answer:

Y=-2/3x+6

Step-by-step explanation:

Y=-2/3x+b

2=-2/3•6+b

2=-4+b

6=b

3 0

3 years ago