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svet-max [94.6K]
3 years ago
7

Example 1:

Mathematics
1 answer:
yawa3891 [41]3 years ago
4 0

Answer:

Step-by-step explanation:

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Whats the answer and an explanation
Dmitry [639]
N=4
Remove the parentheses, move the terms, collect like terms,calculate, divide both sides
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3 years ago
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Solve each equation for y (get into slope-intercept/y=mx + b form):
Gwar [14]

Answer:

Step-by-step explanation:

In order to do this we need to isolate y by performing the inverse operations on the other values like so...

a)   10x + 5y = 20   ... subtract 10x on both sides

     5y = 20 - 10x    ... divide both sides by 5

       y = 4 - 2x   ... we can move the 2x to the right to make it into y = mx + b

       y = -2x + 4

b)   3x - 2y = 10 + 4x   ... subtract 3x on both sides

      -2y = 10 + x    ... divide both sides by -2

       y = -5 - 0.5x ... move -0.5 to the left so it matches y = mx + b

      y = -0.5x - 5

3 0
3 years ago
Write a polynomial function in standard form with zeros at −3, −1, and 1.
Annette [7]

Answer:

f(x) = {x}^{3}  + 3 {x}^{2}  - x -3

Step-by-step explanation:

The given polynomial has zeros at:

x=−3, x=−1, and x=1.

This means that:

x+3, x+1, and x-1 are all factors of this polynomial.

The factored form of this polynomial is :

f(x) = (x + 3)(x + 1)(x - 1)

We expand the last two factors using difference of two squares.

f(x) = (x + 3)( {x}^{2}  - 1)

f(x) = x ( {x}^{2}  - 1) + 3( {x}^{2}  - 1)

f(x) = {x}^{3}  - x+ 3 {x}^{2}  -3

f(x) = {x}^{3}  + 3 {x}^{2}  - x -3

This is the standard form because it is now in decreasing powers of x.

8 0
3 years ago
The value of y varies directly as x and y is 9 when x is -3 what constant of variation k?
Lady bird [3.3K]
Y/x=k

when y=9, then x= -3
        9/-3=-3
⇒ k= -3
7 0
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Choose the equation that represents the solutions of 0 = 0.25x2 - 8x.
Gre4nikov [31]

Answer:

Step-by-step explanation:

3 0
3 years ago
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