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2 years ago

N-3 is greater than or equal to -5

Mathematics

1 answer:

Airida [17]2 years ago

4 0

$\huge\boxed{n \geq -2}$

First, write this as an inequality. $n-3 \geq -5$

We need to isolate $n$ , so add $3$ on both sides of the equation. $\boxed{n \geq -2}$

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8x + 20y = 20<br> 14x + 35y = k<br> For the above system of equations to be consistent, k must equal

Goshia [24]

Answer:

Step-by-step explanation:

The equations will be "consistent" when they describe lines that are not parallel.

<h3>Slopes</h3>

The slope of a line whose equation is written in this form is the opposite of the ratio of the y-coefficient to the x-coefficient:

line 1 slope = -8/20 = -2/5

line 2 slope = -14/35 = -2/5

These lines have the same slope, so will be parallel unless they have the same y-intercept.

<h3>Y-intercept</h3>

The y-intercept of each line is the ratio of the constant to the y-coefficient:

line 1 y-intercept = 20/20 = 1

line 2 y-intercept = k/35

We want these lines to have the same y-intercept so that they are not inconsistent. This requires ...

k/35 = 1

k = 35

For the equations to be consistent, we must have k = 35.

<em>Additional comment</em>

Linear equations are generally categorized as "consistent" or "inconsistent," and "dependent" or "independent."

Equations are "inconsistent" if there are no values of the variables that satisfy all of the equations. They are "dependent" if they describe exactly the same relation between the variables. "Consistent" equations may be "dependent" (describing the same line, as here), or "independent" (describing lines with different slopes.)

7 0

2 years ago

In Exploration 5.4.2 Question 2, what conclusion can you make about the value of the derivative at

givi [52]

The value of the derivative at the maximum or minimum for a continuous function must be zero.

<h3>What happens with the derivative at the maximum of minimum?</h3>

So, remember that the derivative at a given value gives the slope of a tangent line to the curve at that point.

Now, also remember that maximums or minimums are points where the behavior of the curve changes (it stops going up and starts going down or things like that).

If you draw the tangent line to these points, you will see that you end with horizontal lines. And the slope of a horizontal line is zero.

So we conclude that the value of the derivative at the maximum or minimum for a continuous function must be zero.

If you want to learn more about maximums and minimums, you can read:

brainly.com/question/24701109

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2 years ago

If the ratio of black jeans to bluejeans is 6 to 18 with a total of 240 jeans how many of them are blue

Leya [2.2K]

The ratio is 6:18 and you are trying to find out what are blue. You divide 240 by 6 and get 40. You then multiply 40 x 18 and get 720.

5 0

3 years ago

I WILL GIVE Brainiest IF YOUR RIGHT

Brut [27]