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2 years ago

Convert the point slope equation y + 5 = - 3/4(x + 2) into standard form.

2 answers:

8 0

Answer: 3x + 4y = - 26

Explanation:

1) the standard form is Ax + By = C

2) given: y + 5 = - (3 / 4) (x + 2)

3) multiply both sides by 4:

4y + 20 = - 3 (x + 2)

4) expand the parenthesis using distributive property:

4y + 20 = -3x - 6

5) transpose -3x and 20

4y + 3x = - 20 - 6

6) combine like terms

4y + 3x = - 26

7) rearrange:

3x + 4y = - 26

That is the standard form of the linear equation given.

svp [43]2 years ago

5 0

$\bf y+5=-\cfrac{3}{4}(x+2)\implies y+5=-\cfrac{3}{4}x\left( -\cfrac{3}{4} \right)2\implies y+5=-\cfrac{3}{4}x-\cfrac{3}{2}
\\\\\\
\cfrac{3}{4}x+y=-\cfrac{3}{2}-5\implies \stackrel{standard~form}{\cfrac{3}{4}x+y=-\cfrac{13}{2}}$

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What is the range for the scores: 13, 23, 60, 46, 53, 75.

vova2212 [387]

Hello there.

Question: What is the range for the scores: 13, 23, 60, 46, 53, 75.

Answer: Range is the largest value minus the smallest answer:
75 - 13 = 62.
The range is 62.

Hope This Helps You!
Good Luck Studying ^-^

6 0

2 years ago

Owning a small and successful business isn't easy! There is a monthly cost of shipping supplies and

andriy [413]

Answer:

$C(x)=24,000+19,200x$

Step-by-step explanation:

Mathematical Modeling

To model a real-life situation, a mathematical model can be constructed in such a way it accurately represents the variables measured in the system.

This problem requires to build a model for the yearly cost of a small and successful business.

The first data is the fixed monthly cost or the money the owner must pay regardless of the number of employees he hires. This cost includes shipping supplies and products for $2,000. To operate for a full year, the fixed cost is 12*$2,000=$24,000.

The other component of the cost function is the variable cost of x employees. Given each employee costs $1,600 each month, having x employees cost 1,600x each month. For a full year, the variable cost will be

12*1,600x=19,200x.

We finally form the total cost function:

$\boxed{C(x)=24,000+19,200x}$

7 0

2 years ago

A plastics manufacturer has developed a new type of plastic trash can and proposes to sell them with an unconditional 6-year war

gtnhenbr [62]

Answer:

since -3.73 is less than 1.645, we reject H₀.

Therefore this indicate that the proposed warranty should be modified

Step-by-step explanation:

Given that the data in the question;

p" = 13/20 = 0.65

Now the test hypothesis;

H₀ : p = 0.9

Hₐ : p < 0.9

Now lets determine the test statistic;

Z = (p" - p ) / √[p×(1-p)/n]

= (0.65 - 0.9) /√[0.9 × (1 - 0.9) / 20]

= -0.25 / √[0.9 × 0.1 / 20 ]

= -0.25 / √0.0045

= -0.25 / 0.067

= - 3.73

Now given that a = 0.05,

the critical value is Z(0.05) = 1.645 (form standard normal table)

Now since -3.73 is less than 1.645, we reject H₀.

Therefore this indicate that the proposed warranty should be modified

3 0

1 year ago

During a sale, a dress is sold at discount of 15%. The original price of the dress is $ 60. What is the price of the dress after

ycow [4]

15/100=0.15
60*0.15=9
60-9=$52 after discount

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2 years ago

Solve for x: AD bisects ZBAC A

Ratling [72]

Answer: 3

Step-by-step explanation:

8 0

1 year ago