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Studentka2010 [4]
2 years ago
15

Which ordered pair would form a proportional relationship with the point graphed below? (60,-20)

Mathematics
1 answer:
valentina_108 [34]2 years ago
7 0

Given:

The graphed point is (60,-20).

To find:

The ordered pair that would form a proportional relationship with the given point.

Solution:

If y is proportional to x, then

y\propto x

y=kx

\dfrac{y}{x}=k

Where, k is the constant of proportionality.

For the given point,

k=\dfrac{-20}{60}

k=\dfrac{-1}{3}

For option (A),

k=\dfrac{30}{-10}

k=-3\neq \dfrac{-1}{3}

For option (B),

k=\dfrac{-15}{30}

k=-\dfrac{1}{2}\neq \dfrac{-1}{3}

For option (C),

k=\dfrac{10}{-30}

k=\dfrac{-1}{3}.

The point (-30,10) gives the same value of the constant of proportionality. So, the point (-30,10) forms a proportional relationship with the given point.

Therefore, the correct option is C.

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Who can answer this<br> (WITH AN EXPLANATION)<br> will mark brainlest
stepan [7]

Answer:

Factors: (x²y+6)(y²-11)

<h2 />

Step-by-step explanation:

Here's the original equation.

x²y³ - 11x²y + 6y² - 66

Let's separate it into two groups to make it easier.

(x²y³ - 11x²y) + (6y² - 66)

Let's take a look at (x²y³ - 11x²y) first. Do we notice anything that can be removed from the parentheses?

Yes, x²y can be taken from both polynomials to simplify the contents of the parentheses.

Both polynomials have x² and both have at least one y. Combine that to get x²y. That means that within the parentheses y² and - 11 will be left.

So  (x²y³ - 11x²y) becomes x²y (y²-11)

This works because if we multiply x²y * (y² - 11) we get (x²y³ - 11x²)

Let's apply this same idea to (6y² - 66).

6 is the only thing in common between the two polynomials.

If we follow the same steps we get 6 (y²-11).

Notice how when we simplified both groups they each had something on the outside and (y² - 11) in the parentheses?

So lets combine the things that were on the outside of both (y² - 11).

What was on the outside of each? x²y was on the outside for the first one, and 6 for the outside of the second one.

This means that if we combine everything and simplify, the factors we have are (x²y+6)(y²-11).

If you want to confirm, work your way backwards using the distributive property. You'll find that when you multiply (x²y+6) * (y² -11) you'll get = x²y³ - 11x²y + 6y² - 66. That was the original equation, so we know that these are the factors.

Hope that helps!

8 0
3 years ago
When ordering the Kids' Lunch at Burger Universe, the customer must choose a size, whether or not to have cheese, a type of bun,
AlekseyPX

Answer:

192 Kids' Lunches are possible.

Step-by-step explanation:

The client must make 5 decisions:

1) Size (junior, small, medium, large)

2) Cheese (with or without)

3) Type of bun (white, wheat)

4) Side order (fries, onion rings, fruit cup)

5) Drink (orange, grape, cherry, lemonade)

Since the client must make all 5 decisions all the time, we will multiply the number of options we have:

1) For size, he has 4 options,

2) For cheese, he has 2 options,

3) For type of bun, 2 options,

4) For side order, 3 options,

5) For drink, 4 options.

Therefore, the number of total options he has is 4 x 2 x 2 x 3 x 4 = 192 Kids' Lunches.

6 0
2 years ago
Help plssssss ASAP pls I’m not good at math
liq [111]

Answer:

B.) 51/64

Step-by-step explanation:

8 0
2 years ago
3y=12x+6 in slope-intercept form
tresset_1 [31]

Answer:

\displaystyle y = 4x + 2

Step-by-step explanation:

\displaystyle \frac{3y}{3} = \frac{4x + 12}{3} \\ \\ y = 4x + 2

I am joyous to assist you anytime.

8 0
3 years ago
What is the area of the figure? The diagram is not drawn to scale.
Veronika [31]
The picture in the attached figure

we know that
the figure is a parallelogram 
the area of parallelogram=base*height
in this problem
base=34 in
height=35 in
so
area=34*35----> area=1190 in²

the answer is
<span>A. 1,190 in^2</span>

4 0
3 years ago
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