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inessss [21]
2 years ago
6

Simplify the expression to a polynomial in standard form: (4x+5) (x^2-3x-2) PLEASE HLEP

Mathematics
1 answer:
pickupchik [31]2 years ago
7 0

Answer:

4x^3-7x^2-23x-10

Step-by-step explanation:

So we have the expression:

(4x+5)(x^2-3x-2)

Distribute. Multiply (4x+5) to each term:

(x^2)(4x+5)+(-3x)(4x+5)+(-2)(4x+5)

Distribute:

=(4x^3+5x^2)+(-12x^2-15x)+(-8x-10)

Combine like terms:

=(4x^3)+(5x^2-12x^2)+(-15x-8x)+(-10)

Add and simplify:

=4x^3-7x^2-23x-10

And this is in descending order, so it's in standard form.

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2 years ago
What is the equation of the line that represents the horizontal asymptote of the function f(x)=25,000(1+0.025)^(x)?
posledela

Answer:

The answer is below

Step-by-step explanation:

The horizontal asymptote of a function f(x) is gotten by finding the limit as x ⇒ ∞ or x ⇒ -∞. If the limit gives you a finite value, then your asymptote is at that point.

\lim_{x \to \infty} f(x)=A\\\\or\\\\ \lim_{x \to -\infty} f(x)=A\\\\where\ A\ is\ a\ finite\ value.\\\\Given\ that \ f(x) =25000(1+0.025)^x\\\\ \lim_{x \to \infty} f(x)= \lim_{x \to \infty} [25000(1+0.025)^x]= \lim_{x \to \infty} [25000(1.025)^x]\\=25000 \lim_{x \to \infty} [(1.025)^x]=25000(\infty)=\infty\\\\ \lim_{x \to -\infty} f(x)= \lim_{x \to -\infty} [25000(1+0.025)^x]= \lim_{x \to -\infty} [25000(1.025)^x]\\=25000 \lim_{x \to -\infty} [(1.025)^x]=25000(0)=0\\\\

Since\  \lim_{x \to -\infty} f(x)=0\ is\ a\ finite\ value,hence:\\\\Hence\ the\ horizontal\ asymtotes\ is\ at\ y=0

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2 years ago
I need to know how to work it out someone plz help me out due tommorow
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3 years ago
Can someone help me learn to solve this?
kondaur [170]

Answer:

x = 110°

Step-by-step explanation:

Given that AB = AD then Δ ABD is isosceles and the base angles are congruent, that is

∠ ABD = ∠ ADB = 35°

The sum of the 3 angles in the triangle = 180°, that is

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3 years ago
Everything is in the picture PLEASE HELP me ASAP​
Anna007 [38]

Answer:

77

Step-by-step explanation:

13×7=91

91-(3×4)-(1×2)

91-12-2

77

7 0
2 years ago
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