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expeople1 [14]
3 years ago
11

Clara found the product of 3 – 6y2 and y2 + 2. Her work is shown below. (3 – 6y2)(y2 + 2) = 3(y2) + (–6y2)(2) = 3y2 – 12y2 = –9y

2 Is the student’s work correct?
Mathematics
1 answer:
Lilit [14]3 years ago
3 0
No he's not correct

<span>(3 – 6y2)(y2 + 2)  
= 3(y2) -6(y2)(y2)  - 6y2(2) </span>+ 3(2)<span>
= 3y2 -6y4 - 12y2 </span>+ 6 <span>
= -6y4 - 9y2 +6</span>
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The statement that describes better about function is "Both functions are increasing, but function g increases at a faster average rate." since option (c) is correct.

Given the table

x         f(x)

-2        -46

-1         -22

0         -10

1           -4

2          -1

We have to choose which statement describes better about function

Let us assume f(x)=ab^x+c

at x=0, f(0)=-10

So, -10 =a+c

Similarly, by satisfying the above table in the f(x)

f(x)=\frac{33}{5} (\frac{1}{11})^x-\frac{17}{5}

f'(x) > 0

So we can say that f(x) is an increasing function.

g(x) = - 18  (\frac{1}{3}  )^ x + 2

g^ \prime (x) = - 18 (\frac{1}{3}  )^ x  ln(1/3)

ln(1/3) < 0

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So, g(x) is an increasing function.

For any x∈f(x) and  x∈g(x) g'(x) > f'(x)

So, g increases at a faster average rate

Thus, Both functions are increasing, but function g increases at a faster average rate.

Learn more about increasing functions here: brainly.com/question/12940982

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The shaded area of the picture shows what part of the yard Rashon mowed in 15 minutes. He wonders how long it will take him to m
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Step-by-step explanation:

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3 years ago
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Tpy6a [65]

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cluponka [151]

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Step-by-step explanation:

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Answer:

C and D

Step-by-step explanation:

You can tell if equations have no solution if the variables on both sides of the equation are the same.

Choice C is 10+6x=15+9x-3x. You would combine 9x and -3x, turning the equation into 10+6x=15+6x. Since there is a 6x on both sides, Choice C would have no solution.

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