MATHEMATICS HIGH SCHOOL

I have to rewrite an equation so that y is a function of x. I think I'm solving for Y, because on my examples it has "y=". How do I do this?
konrad509 avatar

Answers

Answer 1
Answer:
You do whatever you need to do to one side of the equation in order to have
only ' y ' left on that side, AND every time you do something to that side of
the equation, do exactly the same thing to the other side.

Here are three examples, out of the 9 answers you want handed to you:

#16:                                  3x + 5y = 7

Subtract  3x  from each side:      5y = -3x + 7

Divide each side by  5 :                y = -3/5 x + 7/5

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

#17:                                     13 = 12x - 2y

Add  2y  to each side:    2y + 13 = 12x

Subtract 13  from each side:  2y = 12x - 13

Divide each side by  2 :          y = 6x - 13/2

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

#22:                                1/4 y + 3 = -5x

Subtract  3  from each side:   1/4 y = -5x + 3

Multiply each side by  4 :            y = -20x + 12

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If M = 5x² + 7x - 4 and N = -3x² - 4x + 5, then M - N equals...

Answers

M - N =

(5x^2+7x-4) - (-3x^2-4x+5)=

Distribute -1 through the second parentheses

5x^2+7x-4 +3x^2+4x-5=

combine like terms

8x^2 + 11x - 9

the perimeter of a rectangle is 58. The length is 1 more than 2 1/2 times the width. Find the dimensions of the rectangle

Answers

The formula of the perimeter of a rectangle is given as

P=2L+2W

where L is the length and W is the width. Substitution of the given values will yield,

58=2L+2W     (1)

The next thing that we have to do is to translate the relationship between the two variables, L and W, into a mathematical equation.

So we have 

L=2.5W+1     (2)

Now we have two equations, we also have two unknowns, so this problem is solvable. Substitution of equation (2) in (1) yields

58=2(2.5W+1)+2W
58=5w+2+2w
58=7W+2
56=7W
8=W

Substitution of this value to equation (2) yields

L=2.5(8)+1
L=21

So, the dimensions of the rectangle are:, specifically, width is equal to 8 while length is equal to 21.

Solve the equation r+11+8r=29

Answers

Combine like terms: r+8r=9r. subtract 11 from both sides 9r=18. r=2
Ok so lets evaluate this equation. First,we have to combine like terms which in this case us r only. So lets do it r+8r is simply 9r+11=29 so now since we want to isolate or in other terms get r the variable  by itself we would have to subtract  11 form both sides. 29 -11 is simply 18 now we have 9r=18 divide 9 on both sides and r is equal to 2 

The amount of time is takes dora to commute to work is always within 5 minutes of the average number of minutes the commute takes. If the average ammount of time she takes to get to work is 45 minutes

Answers

Answer:

The average time to commute to work is 25 minutes.

Step-by-step explanation:

If average time for Dora to commute to work is 5 mins. If she takes 45 mins to get to work then her overall average time to commute to work will change as the average consists of 2 or more figures. The average time to commute to work is 25 mins ((5+45)/2). The average of 5 mins and 45 mins is 25 mins. This is the overall average time she takes to commute to her work.

Which geometric solid is the best model for the nose of a human being?A. Rectangular prism
B. Cylinder
C. Sphere
D. Pyramid

Answers

The correct answer is (d.) pyramid. The geometric solid figure, pyramid, best describes or is the best model for the nose of a human being. The human being's nose is being created with 3 triangles in the third dimension, which means pyramid it is. 

Answer:

Pyramid is the best model for the nose of a human being. I hope this helps! :)

Step-by-step explanation:

A group of students is arranging squares into layers to create a project. The first layer has 4 squares. The second layer has 8 squares. Which formula represents an arithmetic explicit formula to determine the number of squares in each layer?

Answers

Answer:

answer is d

Step-by-step explanation:
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