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Kaylis [27]
3 years ago
6

A.) Find the product (-1.15) x 3.2 b.) Explain in words HOW you determined the sign of your answer.

Mathematics
1 answer:
Deffense [45]3 years ago
7 0

(A)

we are given

(-1.15) x 3.2

Since, sign of 1.15 is negative

and sign of 3.2 is positive

so, we put negative sign in front

(-1.15)*(3.2)=-(1.15*3.2)

now, we can multiply them

and we get

(-1.15)*(3.2)=-3.68.............Answer

(B)

Suppose, we are given product of two numbers 'a' and 'b'

so, we use this property

case-1: When both positive , then we put positive in front

a*b=+(a*b)

case-2: When both negative  , then we put positive in front

-a*-b=+(a*b)

case-3: When first is  negative and second is positive   , then we put negative  in front

-a*b=-(a*b)


case-4: When first is  positive and second is negative    , then we put negative  in front

a*-b=-(a*b)


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Answer:

The absolute maximum and minimum is 20\; \text{and} -20.

Step-by-step explanation:

We first check the critical points on the interior of the domain using the

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f_x=y-4=0

f_y=x=0

The only solution to this system of equations is the point (0, 4), which lies in the domain.

f_{xx}=0, \;f_{yy}=0\; \text{and}\; f_{xy}=-1

\Rightarrow f_{xx}f_{yy}-f_{xy}=o-1=-1

\therefore (0,4) is a saddle point.

Boundary points -  (4,0),  (-4,0), (0,16)

Along boundary  y=16-x^2

   f=x(16-x^2)-4x

=16x-x^3-4x

\Rightarrow f^'=16-3x^2-4=0

\Rightarrow 3x^2=12

\Rightarrow x=\pm2,\;\;y=14

Values of f(x) at these points.

\begin{array}{}(4,0)=-16\\(-4,0)=16\\(0,16)=0\\(2,14)=20\\(-2,14)=-20\end{array}

Therefore, the absolute maximum and minimum is 20\; \text{and} -20.

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In the figure, if the measure of 21 = 112°, what's the measure of 212?
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3 0
3 years ago
Read 2 more answers
1. How many squares do I shade on 10 square grid for 60% of 40 ?
Sholpan [36]

Answer:

Either 2.4 boxes or 6

Step-by-step explanation:

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3 years ago
A snail sets out on a 3 3/5 -mile journey, traveling at a speed of 2/65 miles per hour. a. How many hours will the journey take?
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Answer:a)117 hours b)4.875days.

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Using the formula

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Given Distance = 3 3/5 -mile

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Time =Distance / Speed

Time = (3 3/5)/(2/65)

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Time =18/5 x 65/2 =117 hours

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3 years ago
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The cost of renting a truck from Hamilton Auto Rental is ​$47.60 per day plus ​$0.15 per mile. The expression 47.60 plus 0.15 m represents the cost of renting a truck for one day and driving it m miles. Evaluate 47.60 plus 0.15 m for m equals 120.


Substitute the numerical value for each variable into the expression and simplify the result.


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4 0
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