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3 years ago

Shannon says the two expressions below are equivalent. Is she correct? Explain why or why not? 2(3a - 2) + 4a and 10a - 2

Mathematics

2 answers:

kotegsom [21]3 years ago

5 0

Answer:

Step-by-step explanation:

No she is not correct because 2 times 3a is 6a and -2 times 2 is -4. And then 6a plus 4a is 10a. So therefore the equation would be 10a -4 which is not equivalent to 10a -2. Hope this helps you

Anni [7]3 years ago

3 0

No, she's not correct. The first expression is equal to 2 and the second expression is equal to 12. So, it's NOT CORRECT.

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Step-by-step explanation:

114:95 = 6:5

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3 years ago

The function A = 15x - x2, where x is the width in yards, gives the area A of a llama pen in square yards. Make a table using 1/

Mnenie [13.5K]

Answer:

The width which gives the greatest area is 7.5 yd

Step-by-step explanation:

This is an application of differential calculus. Given the area as a function of the width, we simply need to differentiate the function with respect to x and equate to zero which yields; 15-2x=0 since the slope of the graph is zero at the turning points. Solving for x yields, x=7.5 which indeed maximizes the area of the pen

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3 years ago

PLZ HELP!!!!!! (WILL GIVE BRAINLIEST!!!!)

nasty-shy [4]

I think you times all of the inchs together. 5x3x2=30.

I dont know if i am right tho. Hope this help ya.

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3 years ago

I need help finding the y-intercept of these, I am no good with slope and tables. ;-;

zubka84 [21]

Answer:

1. -4

2. 6

3. -6

(i hope this is right •_•)

Step-by-step explanation:

First table

When the x coordinate is 0, that point is your y intercept. For the first one, your y intercept is -4.

Second table

For the second one, we need to do a bit of counting. We can see the x coordinates go before and after zero, but the table does not show us 0. So, we're going to have to calculate the slope. Bear with me here, I'm a little tired and this might be rambling ;-;

So, the formula for calculating slope is $\frac{y_{2} -y_{1}}{x_{2}-x_{1}}$ . I'm going to use those first two points to get my slope. We're going to say the first point is point 1 and the second point is point 2 (genius, i know lol). So, let's substitute in the x and y values.

$\frac{9-12}{-3-(-6)}$

And simplify...

$\frac{-3}{3}$

So, your slope is -1. We can use that. We just have to count down.

If the x is -2, the y is 8. If the x is -1, the y is 7. And if the x is 0....(drumroll please) the y is 6! So, your y intercept is 6.

Third table

Now, this table isn't very nice either and doesn't have an x as 0 for us. Hmpf. But we can still do what we did above. I'll just skip the explanation and you can observe my steps.

$\frac{-3-(-5)}{9-3}$