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boyakko [2]
3 years ago
14

If a and b are both integers and b does not equal 0, then -(a/b) = (-a)/b = a/(-b) Choose two values for a and b. see if those v

alues make the equation true
Mathematics
1 answer:
kkurt [141]3 years ago
7 0

a=4 , b=3  These values make the equation true .

<u>Step-by-step explanation:</u>

Here we have , If a and b are both integers and b does not equal 0, then -(a/b) = (-a)/b = a/(-b) Choose two values for a and b. We need to find if those values make the equation true . Let's find out:

We have the following equation:

-(a/b) = (-a)/b = a/(-b) , Let a=4 , b=3 , So

⇒ -(a/b) = (-a)/b = a/(-b)

⇒ -\frac{a}{b} = \frac{-a}{b} = \frac{a}{-b}

⇒ -\frac{4}{3} = \frac{-4}{3} = \frac{4}{-3}

⇒ -\frac{4(-1)}{3} = \frac{-4(-1)}{3} = \frac{4(-1)}{-3}                   { Multiplying by -1 }

⇒ \frac{4}{3} = \frac{4}{3} = \frac{4}{3}

Therefore , These values make the equation true .

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Answer:

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Step-by-step explanation:

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3 years ago
The mosquito population is a function of rainfall, and can be approximated by the formula N(x)=−x3+45x2+1000 where x is the numb
KiRa [710]

Answer:

Therefore the population will be maximum when x=30 inches.

Step-by-step explanation:

Given that, the mosquito population is a function of rainfall and can be approximated by the formula

N(x)= -x^3+45x^2+1000

where x is the number of inches of rainfall.

N(x)= -x^3+45x^2+1000

Differentiating with respect to x

N'(x)= -3x^2+90x

Again differentiating with respect to x

N''(x)=-6x+90

Now we set N'(x)=0

-3x^2+90x=0

\Rightarrow -3x(x-30)=0

\Rightarrow x=0,30

N''(0)=-6.0+90=90>0

N''(30)=-6.30+90=-90

Since at x=30, N''(x)<0, So at x=30, N(x) has maximum value.

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5 0
3 years ago
3 inches to the nearest 1/2 inch
DaniilM [7]

Answer:

6

Step-by-step explanation:

8 0
3 years ago
What is the equation of the line written in general form (2,4) (-1,-5)
elena-s [515]
First, you must find the slope, which is -5-4/-1-4, or 1.8, and then put it in point-slope form, or y-4=1.8(x-2), which simplifies to y-4=1.8x-3.6, and so put it in general/standard form, you have to subtract 1.8x from both sides and then add 4 to both sides, and lastly divide both sides of the equation by -1.8 to get x+y=1.889, or x+y=1.6/1.8.   This is not copied and pasted.
6 0
3 years ago
ben earned 45 dollars mowing lawns. he worked 3.2 hours on monday and 4.3 hours on tuesday. how much did he earn per hour?
dlinn [17]

Answer:

6 dollars per hour

Step-by-step explanation:

We can set up and solve an equation to answer this question. For this problem, let x stand for the amount he earned per hour. The equation that represents this situation is 3.2x + 4.3x = 45. The first term represents monday and the second represents tuesday. When these add up they should equal 45 because that is the total amount he made. To find his pay per hour, solve for x.

First, combine the like terms

  • 7.5x=45

Next, divide both sides by 7.5

  • x=6
3 0
2 years ago
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