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MAVERICK [17]
3 years ago
8

(x+4)(x-2) as a triomial in standard form

Mathematics
2 answers:
ZanzabumX [31]3 years ago
7 0

x^2 + 2x - 8

just multiply (x+4)(x-2)

x times x = x^2

x times -2 = -2x

4 times x = 4x

4 times -2 = -8

-2x + 4x = 2x

Nataliya [291]3 years ago
6 0

Answer:

x² - 8x + 16 Hope this helps

Step-by-step explanation:

Step 1: Write out expression

(x - 4)²

Step 2: Expand

(x - 4)(x - 4)

Step 3: FOIL

x² - 4x - 4x + 16

Step 4: Combine like terms

x² - 8x + 16

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Papessa [141]

Answer:

what grade us it maybe u can help you but if I cant I'm sorru

8 0
3 years ago
Consider functions of the form f(x)=a^x for various values of a. In particular, choose a sequence of values of a that converges
sleet_krkn [62]

Answer:

A. As "a"⇒e, the function f(x)=aˣ tends to be its derivative.

Step-by-step explanation:

A. To show the stretched relation between the fact that "a"⇒e and the derivatives of the function, let´s differentiate f(x) without a value for "a" (leaving it as a constant):

f(x)=a^{x}\\ f'(x)=a^xln(a)

The process will help us to understand what is happening, at first we rewrite the function:

f(x)=a^x\\ f(x)=e^{ln(a^x)}\\ f(x)=e^{xln(a)}\\

And then, we use the chain rule to differentiate:

f'(x)=e^{xln(a)}ln(a)\\ f'(x)=a^xln(a)

Notice the only difference between f(x) and its derivative is the new factor ln(a). But we know  that ln(e)=1, this tell us that as "a"⇒e, ln(a)⇒1 (because ln(x) is a continuous function in (0,∞) ) and as a consequence f'(x)⇒f(x).

In the graph that is attached it´s shown that the functions follows this inequality (the segmented lines are the derivatives):

if a<e<b, then aˣln(a) < aˣ < eˣ < bˣ < bˣln(b)  (and below we explain why this happen)

Considering that ln(a) is a growing function and ln(e)=1, we have:

if a<e<b, then ln(a)< 1 <ln(b)

if a<e, then aˣln(a)<aˣ

if e<b, then bˣ<bˣln(b)

And because eˣ is defined to be the same as its derivative, the cases above results in the following

if a<e<b, then aˣ < eˣ < bˣ (because this function is also a growing function as "a" and "b" gets closer to e)

if a<e, then aˣln(a)<aˣ<eˣ ( f'(x)<f(x) )

if e<b, then eˣ<bˣ<bˣln(b) ( f(x)<f'(x) )

but as "a"⇒e, the difference between f(x) and f'(x) begin to decrease until it gets zero (when a=e)

3 0
3 years ago
If a 4-pound roast takes 150 minutes to cook, how long should a five-pound roast take
Ber [7]
188 minutes (rounded) or 187 minutes and 5 seconds 
6 0
3 years ago
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F(x) = 3x - 1 and g(x) = x2 -x find (f/g(8) answer choices a)-23/6 b)4 c)-4 d)23/6
Lilit [14]

Answer:

all answer wrong with you

Step-by-step explanation:

f(x)=3x-1

f(8)=3.8-1

=24-1

=23

f(g)=x2-x

f(8)=8.2-2

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cupoosta [38]

Answer:

4

Step-by-step explanation:

8 0
3 years ago
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