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3 years ago

Which graph represents a proportional relationship?

Mathematics

1 answer:

Vadim26 [7]3 years ago

7 0

Answer:

The one shown in the photo

Step-by-step explanation:

A proportional relationship is one in which the relationship increases steadily, which looks like a straight line when graphed. Also, the line should pass through the <em>origin</em>, which is the point (0, 0) on a graph.

The graph shown increases steadily (it's a straight line), and passes through the origin (point 0,0) as well. So, it's proportional. Hopefully that's helpful! :)

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Simplify quantity x squared plus 6 x plus 8 end quantity over quantity x plus 2

Novosadov [1.4K]

Simplifying quantity x squared plus 6 x plus 8 end quantity over quantity x plus 2 we get x+4

Option d is correct.

Step-by-step explanation:

We need to simplify quantity x squared plus 6 x plus 8 end quantity over quantity x plus 2.

Writing in mathematical form:

$\frac{x^2+6x+8}{x+2}$

Solving:

Factorizing the numerator:

$\frac{x^2+6x+8}{x+2}\\=\frac{x^2+4x+2x+8}{x+2}\\=\frac{x(x+4)+2(x+4)}{x+2}\\=\frac{(x+2)(x+4)}{x+2}\\Cancelling\,\,x+2\,\,forom\,\,numerator\,\,and\,\,denominator:\\=x+4$

So simplifying quantity x squared plus 6 x plus 8 end quantity over quantity x plus 2 we get x+4

Option d is correct.

Keywords: Simplifying Expressions

Learn more about Simplifying Expressions at:

#learnwithBrainly

5 0

3 years ago

Evaluate the expression 11C3

butalik [34]

Evaluating the expression 11C3 is very simple to do.

If you are assuming that C is the notation for the combination.
11!
11C3= ____

3!(11-3)!

3 0

3 years ago

I am confused about 11.

babunello [35]

-90.1 is the answer.

7 0

3 years ago

Pls help me fill this one out

Sedbober [7]

Answer:

x=1

Step-by-step explanation:

Just look at the x axis and see where the coordinate lands on and it's 1

7 0

2 years ago

There are 130 m&m's in a bag. there are half as many green as red. the number of blue is equal to the number of red and gree

AleksandrR [38]

Let x = red
Let 0.5x = green
Let (x) + (0.5x) = 1.5x = blue
Let 0.5(1.5x) = 0.75x = yellow
Let 0.75x + 4 = brown

$(x) + (0.5x) + (1.5x) + (0.75x) + (0.75 + 4) = 130$
$x + 0.5x+ 1.5x + 0.75x + 0.75 + 4 = 130$
$4.5x + 4 = 130$
$4.5x = 126$
$x = 28$

Use this value to calculate the other required numbers.
red = 28
green = 0.5x = 0.5(28) = 14
blue = 1.5x = 1.5(28) = 42
yellow = 0.75x = 0.75(28) = 21
brown = 0.75x + 4 = 0.75(28) + 4 = 25

8 0

2 years ago