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3 years ago

Which statement about his product must be true

Mathematics

1 answer:

alisha [4.7K]3 years ago

7 0

Answer:

Option (3)

Step-by-step explanation:

a, b, c, and d are the polynomials in which b and d are the non zero elements.

$\frac{a}{b}\times \frac{c}{d}$ = $\frac{a.c}{b.d}$

a.c = Multiplication of two polynomials = Polynomial

b.d = Multiplication of two polynomials = Polynomial

$\frac{a}{b}\times \frac{c}{d}$ = Ratio of two polynomials

Therefore, product will be a rational expression.

Option (3) will be the correct option.

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Solve 2x² - 11x + 5 = 0.

nignag [31]

The answer is x=5 or x=1/2.

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3 years ago

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On Saturday, Mark sold 2 7/8 gallons of lemonade. On the same day, Regan sold 2/3 as much lemonade as Mark. How much lemonade, i

MAXImum [283]

2 7/8= 2/3L
Divide both sides by 2/3 and get 4.31 or 4 5/16
Hope this helps!!

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4 years ago

How do i find the slope

Elodia [21]

Hi, I'm happy to help!

To find the slope, you need to use the slope formula, where m is the slope:

m= $\frac{y_{2}-y_{1 } }{x_{2} -x_{1} }$

Slope means rise over run, or how much the line rises per the amount the line moves forward. This equation shows the movement from the y points to show rise, over the difference in the x points to show run.

Now, to find the slope we insert our values, starting with our second y point:

m= $\frac{2-y_{1 } }{x_{2} -x_{1} }$

Now insert our first y point:

m= $\frac{2-4 }{x_{2} -x_{1} }$

Now we insert our second x point:

m= $\frac{2-4 }{-3 -x_{1} }$

And finally our first x point:

m= $\frac{2-4 }{-3 -3 }$

Now, we solve:

m= $\frac{-2 }{-6}$

So, our slope is -2/-6, to simplify it, we remove both negatives because they cancel each other out.

m= $\frac{2 }{6}$

Now, we simplify our fraction by dividing the top and bottom by 2:

m= $\frac{1}{3}$

So, our slope is 1/3. This means that for every 1 unit the line rises, it goes to the right 3 units. The y-intercept is where the line hits the y axis.

If the question is asking for slope intercept form for the equation, you use y=mx+b

y represents any y coordinate on your line, m represents your slope (1/3), x represents any x coordinate on your line, and b represents your y-intercept (3).

If you were to insert these values, you would get:

y= $\frac{1}{3}$ x+3

You use this to find what a y coordinate would be so you can draw your line.

For the next equation we do the same thing:

m= $\frac{y_{2}-y_{1 } }{x_{2} -x_{1} }$

Insert our values:

m= $\frac{4-1}{2-(-4)}$