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2 years ago

Which of the following is the solution to the following systems of inequalities? (picture included)

Mathematics

1 answer:

Ymorist [56]2 years ago

3 0

Answer:

C. (see the attachment)

Step-by-step explanation:

Both inequalities include the "or equal to" case, so both boundary lines will be solid. That excludes choices A and D.

The first inequality is plotted the same way in all graphs, so we must look at the second inequality. The relationship of y and the comparison symbol is ...

-y ≥ (something)

If we multiply by -1, we get ...

y ≤ (something else)

This means the solution space will be on or below (less than or equal to) the boundary line. This is the shaded area in graph C. (Graph B shows shading above the line.)

___

Further comment

Since the boundary for the second inequality is fairly steep, "above" and "below" the line can be difficult to see. Rather, you can consider the relationship of x to the comparison symbol. For the second inequality, that is ...

x ≥ (something)

indicating the solution space is on or to the right of the boundary line.

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a square is cut from rectangle the side length of the square is half of the unknown with W the area of the Shaded region is 84 s

Brilliant_brown [7]

Answer:

Step-by-step explanation:

Just give me the answer

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2 years ago

Pls help me in this i really need help :( :)

Andrews [41]

Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

First off, let's write the line in point-slope form:

$\rm \hookrightarrow (y-y_0)=m(x-x_0)$

(x₀, y₀) any random point on the line
'm' is the value of the slope

Let's calculate the slope:

$\rm \hookrightarrow Slope = \frac{y_2-y_1}{x_2-x_1}$

(x₁, y₁): any random point on the line ⇒ (-2, -6)
(x₂,y₂): any random point on the line that is not (x₁, y₁) ⇒ (2, -3)

$\rm \hookrightarrow slope = \frac{-3--6}{2--2} =\frac{3}{4}$

Now that we found the slope, let's put it into the point-slope form

⇒ we need (x₀, y₀) ⇒ let's use (2,-3)

$(y-(-3))=\frac{3}{4} (x-2)\\y+3=\frac{3}{4} (x-2)$

The equation, however, could also be put into 'slope-intercept form'

⇒ gotten by isolating the 'y' variable to the left

$y = \frac{3}{4}x-\frac{9}{2}$

Answer: $y = \frac{3}{4}x-\frac{9}{2}$ or $y+3=\frac{3}{4} (x-2)$

*Either equations work, put the one that you are the most familiar with

Hope that helps!

#LearnwithBrainly

5 0

1 year ago

What are the coordinates of the vertex of the parabola represent by the equation y=-5x^2+30x-25

Jobisdone [24]

Answer:

The coordinate of the vertex of the parabola is (h,k) = (3,20)

Step-by-step explanation:

The given equation of the parabola is $y=-5x^2+30x-25$

Now, the General Parabolic Equation is of the form:

$y = a (x-h)^2 + k$ , then the vertex is the point (h, k).

Now, to covert the given equation in the standard form:

$y=-5x^2+30x-25 = -5(x^2 -6x + 5)$

Using the COMPLETE THE SQUARE METHOD,

$-5(x^2 -6x + 5) = -5(x^2 -6x + (3)^2 + 5 - (3)^2)\\\implies -5(((x^2 -6x +(3)^2) + 5 - 9)\\= -5((x-3)^3 -4)\\= -5(x-3)^2 + 20$

or $y = -5(x-3)^2 + 20$

⇒The general formed equation of the given parabola is

$y = -5(x-3)^2 + 20$

Comparing this with general form, we get

h = 3, k = 20

Hence, the coordinate of the vertex of the parabola is (h,k) = (3,20)

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3 years ago

Lucy reads 450 words in 3 minutes.

AnnyKZ [126]

Answer:

3000 words

Step-by-step explanation:

450 words in 3 minutes is 150 words in 1 minute. 20 minutes = 1 times 20.

1 minute = 150 words so 150 words times 20 minutes = 3000 words.

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3 years ago

RIGHT ANSWER WILL RECEIVE BRANLIEST, FIVE STARS, AND A THANKS

LekaFEV [45]

Answer:

See below.

Step-by-step explanation:

An outlier can affect the mean by a lot. For example, if my neighbor moves out and Bill Gates moves in (he would be a super outlier!), the mean annual income would increase enormously.

The median, on the other hand, would not change at all. The income in the middle is still the income in the middle; Gates' income would not budge the median.

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2 years ago