MATHEMATICS HIGH SCHOOL

2p/6-19=-9 What is p?

Answers

Answer 1

Answer:

$(2p)/(6)$ - 19 = -9

$(2p)/(6)$ = 10

p = 10 ( $(6)/(2)$

p = 10 (3)

p = 30

Answer: 30

Answer 2

Answer:
$(2p)/(6) - 19 = - 9 \n (2p)/(6) = 10 \n 2p = 60 \n p = 30$

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Sam is observing the velocity of a car at different times. After three hours, the velocity of the car is 51 km/h. After five hours, the velocity of the car is 59 km/h. Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of the car at different times. Show your work and define the variables used. (5 points) Part B: How can you graph the equation obtained in Part A for the first six hours?

Answers

Assuming that the car is travelling at constant acceleration, follows the equation: v = (v_in) + at where v = velocity v_in = initial velocity, (at t = 0) a = acceleration t = time Given the conditions, v = 51 at t = 3, and v = 59 at t = 5 Eqn 1: 51 = (v_in) + a(3) Eqn 2: 59 = (v_in) + a(5) Solving for v_in and a (using a calculator) v_in = 39 a = 4 therefore the equation for the motion of the car is: v = 39 + 4t This equation can be plotted using excel or wolframalpha.

Please Help! I have 2 questions,1. Which of the following best describes the solution to the equation below?
8+2x = 1/2(16+4x)

2. Which value of x makes the following equation true?
5(x - 1) = - 3x + 35

Answers

2. 5(x-1)=-3x+35
5x-5=-3x+35
5x=-3x+30
2x=30
x=15

-3x-y=-17 4x + 2 y equals 20

Answers

-3x - y = -17
4x + 2y = 20

multiply one part of the equation so that we can be able to use the process of elimination.

(-3x - y = -17)2
4x + 2y = 20

Now we have:

-6x -2y = - 34
4x+2y= 20
------------------------
-2x = -14

Divide -2 on both sides.

-2x = -14
/-2       /-2

x = -7.

=============================================

To solve for y, we just have to substitute the value of x to any of the equation given above, that we feel comfortable with. And I'm going to choose this equation: 4x + 2y = 20

4x + 2y = 20

4(-7) + 2y = 20

-28 + 2y = 20

Add 28 on both sides

-28 + 2y = 20
+28          +28
---------------------
2y = 48
/2      /2

y = 24.

The last thing you would do is to check if the answers is correct.
All you have to do is plug in the values of x and y into both equations and see if they equal to one another.

You may have to do this by yourself :P

Anyways, if you have any questions about this topic, feel free to PM me or any other users interested. Thank you for being part of Brainly! Have a nice day!

Simplify (8j^3-10j^2-7)-(6j^3-10j^2-j+12)

Answers

The first step for solving this expression is to remove the first set of parenthesis.
8j³ - 10j² - 7 - (6j³ - 10j² - j + 12)
When there is a "-" sign in front of the parenthesis,, you must change the sign of each term in the parenthesis. This will look like the following:
8j³ - 10j² - 7 - 6j³ + 10j² + j - 12
Eliminate the opposites in the expression
8j³ - 7 - 6j³ + j - 12
Collect the first set of like term (ones with j³)
2j³ - 7 + j - 12
Calculate the difference between basic numbers
2j³ - 19 + j
Lastly,, use the commutative property to reorder the terms
2j³ + j - 19
Since you cannot simplify this expression any further,, the correct answer to your question is 2j³ + j - 19.
Let me know if you have any further questions
:)

The minimum of a parabola is located at (-1,-3).the point (9,1) Is also on the graph which equation can be solved to determine the value in the function representing the parabola?

Answers

Answer:

(8,-2)

Step-by-step explanation:

9-1 and 1-3

Monique has 3 eggs and needs to buy more. A store has 6 dozens of eggs. Monique needs to buy at least 2 dozen. The number of eggs Monique will have after purchasing x dozen is represented by a function. f(x)=12x+3
What is the practical domain of the function?

All integers from 2 to 6, inclusive.
{27, 39, 51, 63, 75}
All real numbers.
All real numbers from 2 to 6, inclusive.