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3 years ago

When you subtract one negative integer from another will your answer be greater than or less than the integer you started with

1 answer:

5 0

Subtracting a negative integer is the same as adding a positive integer. Adding a positive integer to any number always makes the answer larger than the original number. Therefore, if you subtract one negative integer from another your answer will be always be *greater* than the integer you started with.

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3x + 2y = 4

arlik [135]

3x + 2y = 4
2y = -3x + 4
Divide by 2
Solution: y = -3/2x + 2

x + 2y = -4
2y = -x - 4
Divide by 2
Solution: y = -1/2x - 2

6 0

3 years ago

Find the absolute maximum and minimum values of the following function in the closed region bounded by the triangle with vertice

alukav5142 [94]

$f(x,y)=2x^2-8x+y^2-8y+2$

$f_x(x,y)=4x-8=0\implies x=2$

$f_y(x,y)=2y-8=0\implies y=4$

There is one critical point at (2, 4), but this point happens to fall on one of the boundaries of the region. We'll get to that point in a moment.

Along the boundary $x=0$ , we have

$f(0,y)=y^2-8y+2=(y-4)^2-14$

which attains a maximum value of

$f(0,4)=-14$

Along $y=44$ , we have

$f(x,44)=2x^2-8x+1586=2(x-2)^2+1578$

which attains a maximum of

$f(2,44)=1578$

Along $y=2x$ , we have

$f(x,2x)=6x^2-24x+2=6(x-2)^2-22$

which attains a maximum of

$f(2,4)=-22$

So over the given region, the absolute maximum of $f(x,y)$ is 1578 at (2, 44).

8 0

2 years ago

ismael started the day with an irrigation pipe 120 feet long he used the equation L=15s+120 to determine the total length of the

Maslowich

> what is the slope of the line?

The standard form of the linear equation is:

y = m x + b

where m is the slope, in this case the slope is m = 15

> What does the slope represent in the context of the problem?

<span>The slope is the ratio of L over s. Therefore this means that the slope represents the change in total length per change in the wear welded onto the end</span>

3 0

2 years ago

Which statements are true? Select all that apply.

Vedmedyk [2.9K]

Step-by-step explanation:

Oops! I think you made a mistake-- you provided no image or anything else to explain!

8 0

2 years ago

Read 2 more answers

A local company manufactures netbook computers. Their profit function is given by this equation: y equal minus x to the power of

r-ruslan [8.4K]

The equation described above can also be written as,
y = -x² + 100x + 4000
To get the number of notebooks that will give them the maximum profit, we derive the equation and equate to zero.
dy/dx = -2x + 100 = 0
The value of x from the equation is 50. Then, we substitute 50 to the original equation to get the profit.
y = -(50^2) + 100(50) + 4000 = 6500
Thus, the maximum profit that the company makes is $6,500/day.

8 0

2 years ago