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3 years ago

Which statement best explains if the graph correctly represents the proportional relationship y = −2x?

Mathematics

2 answers:

Anvisha [2.4K]3 years ago

8 0

<span>d. It does, the points shown on the line would be part of y = −2x.
is the answer let me know if this helped</span>

kvv77 [185]3 years ago

6 0

Answer:

So, it does, the points shown on the line would be part of y = −2x.

Step-by-step explanation:

1)The linear function $y=-2x$ is a decreasing one therefore it is graphed from 2nd Quadrant to 4th Quadrant. In addition to this, since is linear parameter <em>b</em> is equal to zero, the line crosses its origin. Finally, its slope is equal to -2.

2)We have (-1,2) and (2,4), pointed out. Linear functions with b=0 are proportional ones. Proportional functions have its slope calculated by:

$k=\frac{y}{x}=\frac{2}{-1}=\frac{4}{-2}\Rightarrow k=-2$

So, it does, the points shown on the line would be part of y = −2x.

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Solve:<br><br> a.x3+x2-8x - 12x+2<br> b. x3-4x2-3x + 18x-3<br> c. x2 + 4x + 4<br> d. x2 - 6x + 9

NeTakaya

<h2>Steps:</h2>

So firstly, this function is asking us to divide f(x) by g(x) so let's set that up as such:

$(\frac{f}{g})(x)=\frac{x^2-x-6}{1}\div \frac{x-3}{x+2}$

Next, remember that <u>dividing by a number is the same as multiplying by its reciprocal.</u> To find the reciprocal of a number, flip the numerator and denominator around. With this info, flip the second fraction to it's reciprocal and change the sign to multiplication:

$(\frac{f}{g})(x)=\frac{x^2-x-6}{1}\times \frac{x+2}{x-3}$

Next, we are going to factor x² - x - 6. Firstly, what two terms have a product of -6x² and a sum of -x? That would be -3x and 2x. Replace -x with 2x - 3x:

$(\frac{f}{g})(x)=\frac{x^2+2x-3x-6}{1}\times \frac{x+2}{x-3}$

Next, factor x² + 2x and -3x - 6 separately. Make sure that they have the same quantity on the inside of the parentheses:

$(\frac{f}{g})(x)=\frac{x(x+2)-3(x+2)}{1}\times \frac{x+2}{x-3}$

Now you can rewrite it as:

$(\frac{f}{g})(x)=\frac{(x-3)(x+2)}{1}\times \frac{x+2}{x-3}$

Next, multiply:

$(\frac{f}{g})(x)=\frac{(x-3)(x+2)^2}{x-3}$

Next, divide:

$(\frac{f}{g})(x)=(x+2)^2$

And lastly, simplify:

A good tip: $(x+y)^2=x^2+2xy+y^2$

$(\frac{f}{g})(x)=x^2+4x+4$

<h2>Answer:</h2>

<u>The correct option is C. x² + 4x + 4.</u>

7 0

3 years ago

The owner of a bike shop sells unicycle and bicycles and keeps inventory by counting seats and wheels. One day she counts 20 sea

Mashcka [7]

A unicycle has 1 wheel. u unicycles have u wheels.

A bicycle has 2 wheels. b bicycles have 2b wheels.

In u unicycles and b bicycles, there are a total of
u + 2b wheels.

We are told there are 28 wheels, so u + 2b must equal 28.

The answer is choice C. u + 2b = 28

8 0

3 years ago

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Refer to the photo :D

OlgaM077 [116]

well, we know the ceiling is 6+2/3 high, and Eduardo has 4+1/2 yards only, how much more does he need, well, is simply their difference, let's firstly convert the mixed fractions to improper fractions and then subtract.

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4 0

3 years ago

There are 21 more days before the first big winter storm and the squirrel collects 12 acorns a day, how far away from her origin

alexandr402 [8]

She has 445 left after the bear ate some so
21 × 12 = 252
252 + 445 = 697 acorns

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6 0

3 years ago

Can y’all help me with it pls

Marta_Voda [28]

Answer:

1. D

2. C

3. C, A F

Step-by-step explanation:

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2 years ago

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