MATHEMATICS HIGH SCHOOL

Simplify.



–7 + 8 + 10 ÷ (–2)

Answers

Answer 1
Answer: BEDMAS says we do division first, then we can solve the rest:

–7 + 8 + (10 ÷ (–2))
-7 + 8 - 5
= - 4

Hope this helps! 

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The vertex form of a function is g(x) = (x – 3)2 + 9. How does the graph of g(x) compare to the graph of the function f(x) = x2?
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(-3) to the 3rd power

Answers

Answer:

-27

Step-by-step explanation:

(-3)³ = -3 · -3 · -3 = 9 · -3 = -27
Your answer would be -27

In how many different ways can 3 identical green shirts and 3 identical red shirts be distributed among 6 children such that each child receives a shirt

Answers

Answer:

Total number of ways will be 20

Step-by-step explanation:

We have given three identical green shirts and three identical red shirts

So total number of shirts = 3+3 = 5

We have to distribute these shirts to 6 children so that each children got one shirt

Number of ways will be equal to =(6!)/(3!3!)=20 ( Here we divide by 3!3! because three green shirts and 3 red shirts are identical )  

Can anyone tell me how to graph 7x+y=5

Answers

You have the equation 7x+y=5
But you must rearrange this into y=mx+b form
to do this subtract 7x from both sides

y= -7x+5

On the y axis plot a dot on 5 because that is the y intercept. 

To find the x intercept let y=0
 0= -7x+5
1. Subtract 5 to both sides
-5=-7x
2. Divide by -7 to both sides
x= -5/-7
x=5/7 
The x intercept is 5/7, so on the x axis mark a dot on 5/7 which is approximately at 0.7
Once you have marked one dot on the y axis at 5 and another dot on the x-axis at 0.7 then you draw a straight line through these points and you have graphed the function 7x+y=5 
To graph an equation, you first need to solve it for y. This means turning the equation into this form: Y=.......

For your equation, once you solve it for Y, you get this:

y = -7x +5

Now, the coefficient of X is a very crucial part of graphing an equation. Once the equation is solved for Y, the coefficient of X is going to be the slope of the line you are graphing. The slope of a line is how much Y goes up every time X is increased by 1.

To graph an equation, you need to put in a number for X and find the matching value for Y and then graph that point. To do this, you will need a coordinate plane. I can't show you what that looks like on here. But, I will do my best to explain how it is done.

Now, for your equation:

y = -7x +5

Simply chose a number for X and find the matching value for Y. I'll try 0 for an example:

y = -7(0) +5

-7 * 0 is 0. Therefore, your new equation looks like this:

y =+5

Therefore, one "Solution pair" to this equation is (X=0,Y=5)

Simply repeat this process and plot the solution pairs on the coordinate plane and then connect the dots.

What is 0.091 written as a percent?

Answers

9.1% is how it's written as a percentage
It would be 9.1%, take the ending number of an equation and multiply it by 100 to get a percentage.

Make r the subject of the formula: V=pier^2h

Answers

If you mean π. Then, all that will be ;
V=πr²h
 First of all, you have to divide the both the sides by πh. You have to do this because the relationship between r and those two characters is multiplication. The opposite of multiplication is division. Anyway;
V/πh=πr²h/πh
V/πh=r²
  Next you have to take the square root of both sides. This is done to cancel the square. Anyway;
√V/πh=√r²
 The square root cancels the ². Anyway, you will be left with;
√V/πh=r
  So;
r=√V/πh.  
   Hope i helped. Have a nice day.
V = πr²h
Divide by h
V/h = πr²
Divide by π
V/πh = r²
Square Root
√(V/πh) = r
r = √(V/πh)

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.
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