MATHEMATICS HIGH SCHOOL

Write an equation of the line in point-slope form through each pair of points (9,5) and (8,2) A) y+5=3(x+9)
B )y+5=1/3(x+9)
C) y-5=3(x-9)
D) y-5=1/3(x-9)

Answers

Answer 1
Answer:

\bf (\stackrel{x_1}{9}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{9}}}\implies \cfrac{-3}{-1}\implies 3 \n\n\n \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\n \cline{1-1} \n y-y_1=m(x-x_1) \n\n \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{3}(x-\stackrel{x_1}{9})

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Several prefixes often used with units of measurement are shown below. each prefix has a specific value in the metric system. what is the correct order of the prefixes, from smallest value to largest value?

Answers

what are the prefixes

Answer:

Several prefixes often used with units of measurement are shown below. Each prefix has a specific value in the metric system.

What is the correct order of the prefixes, from smallest value to largest value?

deca-

milli-

micro-

kilo-

centi-

What is the product of 3/5 of 10

Answers

First, I would change the 10 to 1/10 and write it out as 3/5 = x/10. Then, I would multiply 10 x 3 to get 30. Next, I would figure out 30 divided by 5. Therefore, your answer would be 6 :)

The solution of the product of the two given numbers 3/5 and 10 is 6.

An arithmetic procedure known as multiplication combines two or more integers to get the sum of the products. Along with addition, subtraction, and division, it is a fundamental mathematical operation.

The numbers being multiplied are referred to as the factors in multiplication, while the outcome is referred to as the product. The multiplication operation is indicated by the symbol "" or "*," and it has certain characteristics and regulations.

The two numbers will be multiplied as below,

P = 3/5 x 10

P = 3 x 2

P = 6

Therefore, the product is 6.

To learn more about multiplication follow

brainly.com/question/28773316

#SPJ6

The factorization of 8x3 – 125 is (2x – 5)(jx2 + kx + 25). What are the values of j and k?

Answers

If you would like to find the values of j and k, you can do this using the following steps:

8x^3 - 125 = (2x - 5) * (jx^2 + kx + 25)
8x^3 - 125 = 2jx^3 + 2kx^2 + 50x - 5jx^2 - 5kx - 125

8x^3 = 2jx^3
4x^3 = jx^3
j = 4

2kx^2 + 50x - 5jx^2 - 5kx = 0
2kx^2 + 50x - 20x^2 - 5kx = 0
2kx^2 - 20x^2 + 50x - 5kx = 0
2kx - 20x + 50 - 5k = 0
2x(k - 10) = 5k - 50
2x(k - 10) = 5(k - 10)
k = 10

The correct result would be: j = 4 and k = 10.

Answer:

j=4 k=10 on edg ;)

Step-by-step explanation:

Tarik is trying to save $265.49 to buy a new tablet. Right now, he has $40 and can save $38 a week from his allowance. Write and evaluate an expression to represent the amount of money saved after ; 2 weeks 3 weeks 4 weeks When will Tarik have enough money to buy the tablet? Write an inequality that will generalize the problem.

Answers

Answer:

- After 2 weeks, Tarik will have $116 saved.

- After 3 weeks, Tarik will have $154 saved.

- After 4 weeks, Tarik will have $192 saved.

- Tarik will have enough money to buy the tablet after 6 weeks.

- The inequality representing the problem is $40 + ($38 * number of weeks) >= $265.49.

Step-by-step explanation:

To represent the amount of money saved after a certain number of weeks, we can use the expression:

Amount of money saved = $40 + ($38 * number of weeks)

Let's evaluate this expression for 2 weeks, 3 weeks, and 4 weeks:

For 2 weeks:

Amount of money saved = $40 + ($38 * 2)

Amount of money saved = $40 + $76

Amount of money saved = $116

For 3 weeks:

Amount of money saved = $40 + ($38 * 3)

Amount of money saved = $40 + $114

Amount of money saved = $154

For 4 weeks:

Amount of money saved = $40 + ($38 * 4)

Amount of money saved = $40 + $152

Amount of money saved = $192

To determine when Tarik will have enough money to buy the tablet, we need to set up an inequality. Let's represent the cost of the tablet as C:

Amount of money saved >= Cost of the tablet (C)

In this case, the cost of the tablet is $265.49. Therefore, the inequality becomes:

$40 + ($38 * number of weeks) >= $265.49

To solve this inequality, we can subtract $40 from both sides:

$38 * number of weeks >= $265.49 - $40

$38 * number of weeks >= $225.49

Finally, we divide both sides of the inequality by $38 to solve for the number of weeks:

number of weeks >= $225.49 / $38

number of weeks >= 5.93 (approximately)

Since the number of weeks must be a whole number, Tarik will have enough money to buy the tablet after 6 weeks.

To summarize:

- After 2 weeks, Tarik will have $116 saved.

- After 3 weeks, Tarik will have $154 saved.

- After 4 weeks, Tarik will have $192 saved.

- Tarik will have enough money to buy the tablet after 6 weeks.

- The inequality representing the problem is $40 + ($38 * number of weeks) >= $265.49.

Please help me with both questions!!!!​

Answers

Answer:

  16.  y < 1 - 2|x -2|

  17.  y ≥ 3 + (1/2)|x -2|

Step-by-step explanation:

16. Shading is below the dashed line, so the inequality is ...

  y < (something)

The function is an inverted absolute value function with slopes ±2, so -2 is the multiplier. Its vertex is translated to (2, 1), so the parent function is modified to be ...

  f(x -2) +1

With the multiplier and the comparison added, the whole inequality is ...

  y < -2|x -2| +1

__

17. Shading is above the solid line, so the inequality is ...

  y ≥ (something)

The function is an absolute value function translated to (2, 3) and given a vertical scaling of 1/2. So, your inequality is ...

  y ≥ (1/2)|x -2| +3

Answer:

 16.  y < 1 - 2|x -2|

 17.  y ≥ 3 + (1/2)|x -2

Step-by-step explanation:

What is A ∩ B?    Let set A = {odd numbers between 0 and 100} and set B = {numbers between 50 and 150 that are evenly divisible by 5}.

Answers

A=\{1;\ 3;\ 5;\ 7;\ 9;...;\ 99\}\n\nB=\{50;\ 55;\ 60;\ 55;\ 70;...;\ 150\}\n\nA\ \cap\ B=\{55;\ 65;\ 75;\ 85;\ 95\}
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