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3 years ago

Given the graph of the function f(x) below what happens to f(x) when x is a very small positive number?

Mathematics

1 answer:

vladimir2022 [97]3 years ago

4 0

Answer: The correct option is

(B) f(x) is a very large positive number.

Step-by-step explanation: We are given the graph of a function f(x) as shown in the figure.

We are to check what happens to the f(x) when x is a small positive integer.

From the graph, we see that

when x is approaching to 0 from left hand side, then the value of f(x) is approaching to negative infinity.

And,

when x is approaching to 0 from right hand side, then the value of f(x) is approaching to positive infinity.

So, when x is a very smell positive integer, then y is approaching to positive infinity.

That is, the value of f(x) is a very large positive number.

Option (B) is CORRECT.

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Rewrite the expression (19x3 – 5x2 + 6x – 2)/(x + 1) in the form q(x) + r(x)/b(x) where q(x) = quotient, r(x) = remainder, and b

wolverine [178]

We are asked to perform the long division on the following expression.

$\frac{(19x^3-5x^2+6x-2)}{(x+1)}$

Let us perform the long division.

So, we have

Quotient: q(x) = 19x^2 - 24x + 30

Remainder: r(x) = -32

Divisor: b(x) = x + 1

Therefore, the equivalent expression is

$19x^2-24x+30-\frac{32}{(x+1)}$

The 3rd option is the correct answer.

7 0

1 year ago

A cylinder has a volume of 384 cubic inches and a height of 8 inches, what is the radius

Triss [41]

The answer is: 3.91 inches .
___________________________________________

Note: Volume of cylinder: V = (base area) * (height);

in which: V = volume = 384 in.³ ;
h = height = 8 in. ;
Base area = area of the base (that is; "circle") = π r² ;
in which; "r" = radius;
___________________________________________
Solve for "r" :
___________________________________________
V = π r² * (8 in.) ;

384 in.³ = (8 in.) * (π r²) ;
___________________________________________
Divide EACH SIDE of the equation by "8" ;
___________________________________________
(384 in.³) / 8 = [ (8 in.) * (π r²) in.] / 8 ;
___________________________________________
to get:
___________________________________________
48 in.³ = (π r²) in.² * in. ;
___________________________________________
↔ (π r²) in.² * in. = 48 in.³ ;
___________________________________________
Rewrite this equation; using "3.14" as an approximation for: π ;
__________________________________________________
(3.14 * r²) in.² * in. = 48 in.³
_______________________________________
Divide EACH SIDE of the equation by:

"[(3.14)*(in.²)*(in.)]" ; to isolate "r² " on one side of the equation;
(since we want to solve for "r") ;
_____________________________________________________
→ [(3.14 * r²) in.² * in.] / [(3.14)*(in.²)*(in.)] = 48 in.³ / [(3.14)*(in.²)*(in.)] ;
__________________________________________________
→ to get: r² = 48/3.14 ;
________________________
→ r² = 15.2866242038216561 ;
_______________________________________
To solve for "r" (the radius; take the "positive square root" of EACH side of the equation:
__________________________________________________
→ +√(r²) = +√(15.2866242038216561)
__________________________________________________
→ r = 3.9098112747064475286 ; round to 3.91 inches .
___________________________________________________

4 0

3 years ago

Read 2 more answers

How do you write 47.15 in expanded form?

Helga [31]

40+7+0.1+0.05 this is the answer i think

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3 years ago

40 thousands = _tens?

Yanka [14]

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5 0

3 years ago

Work out m and c for the line:3x+2y-1=0

zhuklara [117]

Answer:

$3x + 2y - 1 = 0 \\ 2y = - 3x + 1 \\ y = - \frac{3}{2} x + \frac{1}{2} \\ from \: general \: equation \: \: y = mx + c \\ by \: comparison \\ m = - \frac{3}{2} \\ c = \frac{1}{2}$

8 0

3 years ago