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olga2289 [7]
3 years ago
13

This graph shows the solution to which inequality? Apex

Mathematics
2 answers:
Veronika [31]3 years ago
5 0

The answer to this question is "D". To understand where to shade, just plug in (0,0) to the linear equation. when you plug in (0,0) it makes your last option true

just olya [345]3 years ago
4 0

Answer:

Option D. y > \frac{4}{3} x - 2

Step-by-step explanation:

Before analyzing the graph of an inequality we should always keep in our mind.

(1) Dotted lines shows the sign of inequality ( greater than or less than ) and solid line shows the sign of equality.

(2) Shaded area above the line is greater than and below the line is less than.

Now in the given figure dotted line with shaded area above the line will be represented by

y > \frac{4}{3} x - 2

Option D. is the answer.

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Which statement correctly describes the relationship between the graph of f(x)=x and the graph of g(x)=f(x)+5 ?
Anettt [7]
<h3>Answer: B) f(x) is translated 5 units up</h3>

Recall that y = f(x) since both are outputs of a function

Saying f(x)+5 is the same as y+5. So we're adding 5 to each y coordinate of each (x,y) point. A point like (1,7) turns into (1,12) after doing this shifting.

Doing this to every point shifts the entire f(x) curve 5 units up to get g(x)

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3 years ago
What is the equation of a line parallel to y=(3)/(4)x-5 and passes through (12,-2)?
Vika [28.1K]

A parallel line has the same slope as the original line. So in this case the slope of the line is also 3/4. Now how do we know if it intersects the point? We need to adjust the y intercept.



Currently, we know the equation of the line is y= 3/4 x + b, where b is the thing we are looking for. We also have a point, which supplies the x and y. Plug that in and solve for b

-2 = (3/4)*(12) + b

You'll get b= -11

So the equation of the parallel line intersecting the point given is y= 3/4x -11.

I am assuming that the slope is 3/4 based on the way you formatted the original equation, but it's the same steps if the slope is different.

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2 years ago
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