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mrs_skeptik [129]
3 years ago
6

N^2-4n Help please thanksss

Mathematics
1 answer:
Vitek1552 [10]3 years ago
8 0

Answer:

Two solutions are found:

n=0 , n= 4 ....

Step-by-step explanation:

n^2-4n = 0

Take common from the given expression:

n(n-4)=0

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately;

n(n-4)=0

n = 0.

n-4 = 0.

Add 4 at both sides:

n-4+4 = 0+4

n = 4

Therefore two solutions are found:

n=0 , n= 4 ....

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Find the x- and y-intercepts of the following line: 4x − 3y = 12
Slav-nsk [51]

Answer:

x-intercept: (3,0)

y-intercept: (0,-4)

Step-by-step explanation:

To find the x and y-intercepts, we first need to understand what they are. X and y-intercepts are points on the line that passes through the x-axis and y-axis. When a point is an x-intercept, it passes through the x-axis. This means the x-coordinate is an integer, while the y-coordinate is always 0. This can be denoted by (x,0). When a point is a y-intercept, it passes through the y-axis. This means the y-coordinate is an integer, while the x-coordinate is always 0. This can be denoted by (0,y).

Now that we know what x and y-intercepts are, we can plug in x=0 and y=0 to find the intercepts.

x-intercept

4x-3y=12            [plug in y=0]

4x-3(0)=12          [multiply]

4x-0=12              [add both sides by 0]

4x=12                 [divide both sides by 4]

x=3

---------------------------------------------------------------------------------------------------------

y-intercept

4x-3y=12            [plug in x=0]

4(0)-3y=12         [multiply]

0-3y=12             [subtract both sides by 0]

-3y=12               [divide both sides by -3]

y=-4

Therefore, the x-intercept is (3,0) and y-intercept is (0,-4).

3 0
3 years ago
Simplify the expression completely. 7b+3(4b−2)+6÷3
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Answer:

19b-4

Step-by-step explanation:

7b+3(4b-2)+6÷3

Bracket comes first so we distribute 3 over the terms in the bracket

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First we solve division

= 7b + 12b -6 +6 ÷ 3

= 7b + 12b -6 +2

= (7b+12b)+(-6+2)

= 19b -4

This can't be simplified further as it can't be solved anymore

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(6 x 10^2) ÷ (3x 10^-5)
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