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Scilla [17]
3 years ago
11

50 POINTS!!!

Mathematics
2 answers:
Usimov [2.4K]3 years ago
5 0

Answer:

it's b

Step-by-step explanation:

just because it's long it is very right

Step2247 [10]3 years ago
3 0

Answer:

well by looking at it , it would be for a.

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Find two positive integers such that the sum of the first number and four times the second number is 1000, and the product of th
vladimir2022 [97]

Answer:

The two numbers are:

x = 500

y = 125

Step-by-step explanation:

We want to find two numbers x and y, such that:

x + 4*y = 1000

f(x, y) = x*y is maximum.

From the first equation, we can isolate one of the variables to get

x = 1000 - 4y

now we can replace it in f(x, y):

x*y = (1000 - 4*y)*y  = 1000*y - 4*y^2

So now we want to maximize the function:

f(y) =- 4*y^2 + 1000*y

where y must be an integer.

Notice that this is a quadratic equation with a negative leading coefficient (so the arms of the graph will open downwards), thus, the maximum will be at the vertex.

Remember that for a general quadratic equation:

y = a*x^2 + bx + c

the x-value of the vertex is:

x = -b/(2*a)

so, in the case of:

f(y) =- 4*y^2 + 1000*y

the y-value of the vertex will be:

y = -1000/(2*-4) = 1000/8 = 125

So we found the value of y.

now we can use the equation:

x = 1000 - 4*y

x = 1000 - 4*125 = 1000 - 500 = 500

x = 500

Then the two numbers are:

x =500

y = 125

6 0
2 years ago
Which quadrants does the line representing the equation y=6x pass through?
emmasim [6.3K]

Answer:

1 and 3

Step-by-step explanation:

6 0
2 years ago
Solve for X please: -ax+4b>9
Ulleksa [173]
So what you do is subtract 4b on both sides so it will be -ax=9+4b then divide x on both sides and you have your answer 

4 0
3 years ago
Read 2 more answers
The ratio of the areas of corresponding faces of two cubes is 1:16. what is the ratio of their volumes?
Yakvenalex [24]
The ratio of the areas is the one-to-one measure squared.  In order to find the ratio of their volumes, which is a cubed measure, we have to find the one-to-one and them cube it.  The square root of 1/16 is 1/4.  Now if we cube 1/4 to get the volume, it will be 1/64. 
6 0
3 years ago
in the san diego zoo there are 4 times as many rabbits as foxes if there are 100 total rabbits and foxes in the zoo how many of
tatiyna

Answer:

100 rabbits

25 foxes

Step-by-step explanation:

Because if there are 100 rabbits, we already know how many rabbits there are so, since we are trying to figure out how many foxes there are we take the 100 ÷ 4 = 25 foxes.

8 0
2 years ago
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