MATHEMATICS HIGH SCHOOL

3. find the domain and range of a) 3x-2y+7=0
i think in y-intercept form it is y=3/2x + 7/2

Answers

Answer 1
Answer: 3x-2y+7=0\n\nThe\ slope-intercept\ form:\n\n2y=3x+7\ \ \ \ \ /:2\n\ny=(3)/(2)x+(7)/(2)\n\nThe\ domain:x\in\mathbb{R}\n\nThe\ range:y\in\mathbb{R}

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Add. Write your answer in simplest form. 3/8 + 2/5
One positive number exceeds 4 times another positive number by 3. The product of the two numbers is 351. What are the two numbers? A) 6 and 9 B) 6 and 24 C) 9 and 39 D) 25 and 29
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The height of a ball when it is thrown into the air is shown by equation h = −16t2 + 20t + 3, where h is the height of the ball and t is time in seconds since the ball was released.A or B?
A.
linear model
B.
nonlinear model

Answers

From

h = -16t² + 20t + 3

This is a quadratic equation, it is degree 2 equation.

A degree 1 equation is a linear equation or model.

Any degree greater than 1, as 2 is a non linear.

So  h = -16t² + 20t + 3, is a non linear model.

It is B.

I hope this helped. 
Hello,

a quadratic equation is not a linear model.

3n-5=-8(6+5n) SOLVE

Answers

It's gonna be a long problem:     Remember PEMDAS
3n-5=8(6+5n)
3n-5= 48 + 40n  Distribute 8 into parenthesis
3n-3n-5=48+40n-3n    Put variable on one side.
-5-48=48-48+37n  Isolate the variable
-43/37=37n/37  Isolate variable more
-1.162=n Simplify
The answer is repeating; that is a shortened version.

t's gonna be a long problem:     Remember PEMDAS

3n-5=8(6+5n)

3n-5= 48 + 40n  Distribute 8 into parenthesis

3n-3n-5=48+40n-3n    Put variable on one side.

-5-48=48-48+37n  Isolate the variable

-43/37=37n/37  Isolate variable more

-1.162=n Simplify

The answer is repeating; that is a shortened version.

How do you know 37? I don't understand, do you add another line connecting it to make a whole triangle or ..I don't understand..

Answers

Hello,
The 3th angle of the triangle is the supplement of 3x-8:
180-(3x-8)=180-3x+8=188-3x

The sum of all angles of the triangle is 180
180=2x+21+188-3x
==>180=-x+21+188
==>x=21+188-180
==>x=21+8
==>x=29

A map has a scale of 1 cm : 15.5 km. Two cities are 2.3 cm apart on the map. To the nearest tenth of a kilometer, what is the actual distance corresponding to the map distance?38 km
51.2 km
35.7 km
113.2 km

Answers

You will need to multiply 15.5 by 2.3. Keep in mind that this only works because the scale is 1cm but if it was say.... 3.4cm:15.5 you wouldn't be able to use that method. Yeah so the answer is 35.65 which rounds up to →35.7← because the second decimal place is five

Answer:

35.7km

Step-by-step explanation:

If a company plans to sell 48,000 units of product but sells 60,000, the most appropriate comparison of the cost data associated with the sales will be by a budget based on? Select one: a. the original planned level of activity. b. 54,000 units of activity. c. 60,000 units of activity. d. 48,000 units of activity.

Answers

Answer:

C. 60,000 units of activity.

Step-by-step explanation:

X-y+z=-4

3x+2y-z=5

-2x+3y-z=15

How do I solve this?

Answers

1)\ \ \ x-y+z=-4\ \ \ \Rightarrow\ \ \ z=-4-x+y\n\n2)\ \ \ 3x+2y-z=5 \n.\ \ \ \ \Rightarrow\ \ 3x+2y-(-4-x+y)=5 \n.\ \ \ \ \Rightarrow\ \ 3x+2y+4+x-y=5 \n.\ \ \ \ \Rightarrow\ \ 4x+y=1\n\n3)\ \ \ -2x+3y-z=15\n.\ \ \ \ \Rightarrow\ \ -2x+3y-(-4-x+y)=15\n.\ \ \ \ \Rightarrow\ \ -2x+3y+4+x-y=15\n.\ \ \ \ \Rightarrow\ \ -x+2y=11\n--------------------\n

z=-4-x+y\n.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ and\n \left \{ {{4x+y=1\ \ \ \ } \atop {-x+2y=11\ /\cdot4}} \right. \n\n\left \{ {{4x+y=1\ \ \ \ } \atop {-4x+8y=44}} \right. \n-------\ny+8y=1+44\n9y=45\ /:9\ny=5\n\n-x+2y=11\ \ \ \Rightarrow\ \ \ x=2y-11\ \ \ \Rightarrow\ \ \ x=2\cdot5-11=-1\n\nz=-4-x+y=-4-(-1)+5=-4+1+5=2\n\nAns.\ x=-1\ \ \ and\ \ \ y=5\ \ \ and\ \ \ z=2
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