Mathematics High School

Select the correct answer.


The domain of function f is (, 6) U (6, ). The value of the function approaches as x approaches , and the value of the function approaches as x approaches. Which function could be function f?


A.


B.


C.


D

Answers

Answer 1

Answer:

approaches , and the value of the function approaches as x approaches. Which function could be function f?

A.

B.

C.

D

Related Questions

Which could be the function graphed below?

a. f(x)=√x-2
b. f(x)=√x-3+1
c. f(x)=√2x+4
d. f(x)=√x+1+8

Answers

Answer:A

Step-by-step explanation:

It would have the greatest chance to be the line on the graph

Use the system of inequalities:
y ≥ 0, x ≥ 0, y ≤ -2x + 4
and find the minimum value of f(x,y) = 3x + y
for the feasible region.
a. 6
b. 4
c. 2
d. 0

Answers

Using the system of inequalities y ≥ 0, x ≥ 0, y ≤ -2x + 4 the minimum value of f(x,y) = 3x + y for the feasible region is d) 0.

We need to find the minimum value of the function

f(x,y) = 3x + y

we can use Lagrange multipliers method defining

F(x,y) = f(x,y) - λx g(x,y)  , where g(x,y) = x²+36 x y² - 1, such that

Fx(x,y) = fx(x,y) - λx gx(x,y) = 0

Fy(x,y) = fy(x,y) - λx gy(x,y) = 0

g(x,y)=0

where the sub-indices x and y represent the partial derivatives with respect to x and y, then

fx(x,y) - λx gx(x,y) = 3 - λx(2x) = 0 → x =3/(2xλ)

fy(x,y) - λx gy(x,y) = 1 - λx(36x2xy) = 0 → y =1/(72xλ)

x²+36xy² - 1 = 0 → [3/(2xλ)]²+36*[1/(72xλ)]² - 1 = 0

therefore, Using the system of inequalities y ≥ 0, x ≥ 0, y ≤ -2x + 4 the minimum value of f(x,y) = 3x + y for the feasible region is d) 0.

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jamilla is building a square sandbox with sides 8 1/2 feet long. she wants to put sand 2 1/2 feet deep in the box. how much sand should jamilla order?

Answers

The amount of sand Jamilla have to order to fill the square sandbox with sides 8 1/2 feet long and 2 1/2 feet deep is 180.625 cubic feet of sand.

To calculate the amount of sand that Jamilla should order, you need to calculate the volume of the sandbox. Given that Jamilla is building a square sandbox with sides 8 1/2 feet long and wants to put sand 2 1/2 feet deep in the box. Thus, the volume of the sandbox is calculated as follows:

Volume of the sandbox = Length * Width * Depth

Volume of the sandbox = (8 1/2 feet) * (8 1/2 feet) * (2 1/2 feet)

Converting each mixed fraction to its corresponding improper fraction, we get:

8 1/2 feet = 17/2 feet

2 1/2 feet = 5/2 feet

On simplifying the above equation we get:

Volume of the sandbox = (17/2 feet)² * (5/2 feet)

Volume of the sandbox = (289/4) * (5/2) cubic feet

Volume of the sandbox = 1445/8 cubic feet

Volume of the sandbox = 180.625 cubic feet

Therefore, Jamilla should order 180.625 cubic feet of sand.

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1000+1000^3 I NEED HELP PLEASE

Answers

To solve this expression, we can use the order of operations, also known as PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (performed left to right), and Addition and Subtraction (performed left to right).

Following this order, we first need to evaluate the exponent, which gives:

1000^3 = 1,000,000,000

Then, we can substitute this value back into the expression:

1000 + 1000^3 = 1000 + 1,000,000,000 = 1,000,000,000 + 1000 = 1,000,001,000

Therefore, 1000 + 1000^3 equals 1,000,001,000.

Answer: 8000000000

Step-by-step explanation:

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