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yarga [219]
3 years ago
13

Find the slope of the line 3y=2/3x+9

Mathematics
1 answer:
DiKsa [7]3 years ago
7 0

3y=2/3x+9

3y/3=2/(3*3)x+9/3

y = (2/9)x + 3

Slope is 2/9.


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Given the x-intercepts for the graph of a quadratic function, write a possible formula for the quadratic function, in
eduard

Answer:

Step-by-step explanation:

x-intercepts are SOLUTIONS to a quadratic whereas when you put those solutions into factor form (in a set of parenthesis), you have the FACTORS of the quadratic.  They are the same thing generally, they are just written in different forms.  For example, if a solution to a quadratic is x = 3, it has been understood that x = 3 when y = 0. Therefore, if x - 3 = y and y = 0, then x - 3 = 0.  Solving that for x, you get x = 3.  That factor of x = 3 is (x - 3).

Following that logic, for a:

If the x intercepts are x = 0 and x = 3, it is understood that x + 0 = 0 so x = 0 and the factor is (x + 0) (it could also be x - 0 since adding 0 is the same as subtracting 0); if x = 3 it is understood that x - 3 = 0 and the factor is (x - 3).

For b:

If the x-intercepts are x = -1 and x = 1, then originally the factors were (x + 1) and (x - 1).  Again, set each of those equal to 0 and solve for x (THE X-INTERCEPT EXISTS WHERE Y = 0!)

For c:

If the x-intercepts are x = -5 and x = 10, then originally the factors were (x + 5) and (x - 10).

For d:

If the x-intercept is a fraction, do the same thing:

x = 1/2 so

x - 1/2 = 0 Now multiply both the x and the 1/2 by a 2 to get the factor (2x - 1) and the other factor from x = 4 is (x - 4)

5 0
3 years ago
The perimeter of a rectangle is represented by the expression LaTeX: 2\left(3x+1\right)+2x2 ( 3 x + 1 ) + 2 x. Which statements
rewona [7]

Answer:

Step-by-step explanation:

Perimeter of a rectangle = 2(L+W)

L is the length of the triangle

W is the width

If the perimeter of a rectangle is represented by the expression 2\left(3x+1\right)+2

In order to know what wat each part represents, we will rewrite the given equation in the form 2(L+W).

Given

2\left(3x+1\right)+2x

Perimeter of a rectangle

2L+2W

Compare the given function with the perimeter to get L and W

L = 3x+1 \ and \ W = x

Hence the following statements explain correctly what each part of the expression represents

- One side of the rectangle measures x (the length)

- One side of the rectangle measures 3x + 1 (the width)

- 2 is the coefficient in each term that represents 2 lengths and 2 widths in a rectangle.

8 0
3 years ago
(2n-9)-5(2.4n+4) does anyone know the answer to this?
antiseptic1488 [7]

Answer:  -0.4n-13

hope it helped don't forget to drop a heart

Step-by-step explanation:

4 0
3 years ago
Drake buys a ring that costs $8,000, which depreciates at a rate of 9.5% per year.
Alex73 [517]

Answer:

$1129.93

Step-by-step explanation:

100 - 9.5 = 90.5

8000 - 90.5 = 7909.5

7909.5 ÷ 7 = 1129.93

i hope this helps

4 0
3 years ago
you own a house cleaning business. it takes you 2 hours and 45 minutes to clean a house. you have 3 houses to clean tomorrow. ho
lidiya [134]
495 minutes. Well you will have to work put how many hours that makesim sorry
6 0
3 years ago
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