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gizmo_the_mogwai [7]
3 years ago
5

Solve the equation using the Zero-Product Property. –8n(10n – 1) = 0

Mathematics
2 answers:
CaHeK987 [17]3 years ago
8 0

Answer: The solution is,

n = 0\text{ or }n = \frac{1}{10}

Step-by-step explanation:

Since, Zero product property states that if the product of two numbers or expression is equal to zero then either of the numbers or expressions must be equal to zero.

That is, If a.b = 0 ⇒ a = 0 or b = 0

Here, the given expression is,

-8n(10n-1)=0

\implies (-8n)(10n-1)=0

Thus, by the above property,

-8n = 0\text{ or }(10n-1)=0

\implies n = \frac{0}{-8}\text{ or }10n= 1

\implies n = 0\text{ or }n = \frac{1}{10}

Irina-Kira [14]3 years ago
6 0
The answer to your question is n=0 or n=1/10
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Write the equation of the line that is parallel to y=4x-3 and passes through the point (5,12)
katovenus [111]

Answer

y=4x-8

Step-by-step explanation:

m = 4

y- 12 = 4(x-5)

simplify and keep it in point-slop form

y=4x-8

6 0
3 years ago
Ok last question then im done
kkurt [141]
55.. i am pretty sure. if i’m wrong you could slap me
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A table of values of a linear function is shown below.
ikadub [295]

Given:

A table of values of a linear function.

To find:

The slope, y-intercept and equation of the function.

Solution:

Take any two points on the table.

Let the points are (-1, -3) and (0, -6).

Slope of the line:

$m=\frac{y_2-y_1}{x_2-x_1}

$m=\frac{-6-(-3)}{0-(-1)}

$m=\frac{-6+3}{0+1}

$m=\frac{-3}{1}

m = -3

Slope of the function = -3

y-intercept of the function is the point where x = 0.

In the table y = -6 when x = 0

y-intercept = -6

Equation of a line:

y = mx + c

where m is the slope and c is the y-intercept

y = -3x + (-6)

y = -3x - 6

Equation of a function is y = -3x - 6.

3 0
3 years ago
Please please help me out!!!!!!
Novosadov [1.4K]

Answer:

see explanation

Step-by-step explanation:

Inequalities of the type | x | > a, always have solutions of the form

x < - a or x > a

This can be extended to expressions, that is

14 - 5x < - 8 OR 14 - 5x > 8 ( subtract 14 from both sides of both inequalities )

- 5x < - 22 OR - 5x > - 6

Divide both sides by - 5 , reversing the inequality sign as a consequence

x > \frac{22}{5} OR x < \frac{6}{5}

That is the solution is

x < \frac{6}{5} OR x > \frac{22}{5}

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3 years ago
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Simple math but I can't seem to understand it: x+y=2 becomes y=2-x, in order to find slope and y intercept y=mx+b The result bec
IgorLugansk [536]

Answer:

See below.

Step-by-step explanation:

So we started off with the equation:

x+y=2

And we subtracted x from both sides to acquire:

y=2-x

Now, this is essentially slope-intercept form. Recall that the slope-intercept form is:

y=mx+b

Where m is the slope and b is the y-intercept.

If we rearrange our equation:

y=2-x\\y=-x+2

And put some parentheses:

y=(-1)x+(2)

We can see that this is indeed slope-intercept form.

And we can see that m is -1 and b is 2.

In other words, the slope is -1 and the y-intercept is 2.

3 0
3 years ago
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