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3 years ago

Which of the binomials below is a factor of this trinomial? x² - 4x-12

Mathematics

1 answer:

noname [10]3 years ago

5 0

Answer:

(x +2) (x-6)

Step-by-step explanation:

x^2 -6x + 2x + 12 =

x^2 -4x + 12

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Evaluate 4 ^ x for (a) x = - 2 and (b) x = 3 . Write your answers in simplest form

devlian [24]

Answer:

a. 1/16 b. 64

Step-by-step explanation:

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2 years ago

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Evaluate the function at the given numbers( correct to six decimal places). Use the results to guess the value of the limit or e

netineya [11]

Answer:

Value of the limit is 0.5.

Step-by-step explanation:

Given,

$F(x)=\frac{e^x-1-x}{x^2}$

When,

$x=1,F(1)=frac{e^1-1-1}{1}=e-2=0.718281$

$x=0.5, F(0.5)=\frac{e^0.5-1-0.5}{(0.5)^2}=0.594885$

$x=0.1, F(0.1)=\frac{e^0.1-1-0.1}{(0.1)^2}=0.517091$

$x=0.05, F(0.05)=\frac{e^0.05-1-0.05}{(0.05)^2}=0.508438$

$x=0.01, F(0.01)=\frac{e^0.01-1-0.01}{(0.01)^2}=0.501670 \hfill (1)$

Correct upto six decimal places.

Now,

$\lim_{x\to 0}F(x)=\lim_{x\to 0}\frac{e^x-1-x}{x^2}$ $(\frac{0}{0})$ form, applying L-Hospital rule that is differentiating numerator and denominator we get,

$\lim_{x\to 0}F(x)$

$=\lim_{x\to 0}\frac{e^x-1}{2x}$ $(\frac{0}{0})$ form.

$=\lim_{x\to 0}\frac{e^x}{2}=\frac{1}{2}=0.5\hfill (2)$

Limit exist and is 0.5. That is according to (1) we can see as the value of x lesser than 1 and tending to near 0, value of the function decreases respectively. And from (2) it shows ultimately it decreases and reach at 0.5, consider as limit point of F(x).

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3 years ago

According to the bar graph, what is the unit of measurement for the experiment?

sergiy2304 [10]

Answer: d or b

Step-by-step explanation:

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2 years ago

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Look for a pattern for the decimal 0.555, the value of the digit in the tenths place is how many times as munch as the value of

Galina-37 [17]

<span>the value of the digit in the tenths place is 5/10 or 0.5
</span>
the value of the digit in the thousandth place is 5/1000 = 0.005

0.5 = 100 x 0.005

Therefore, the value of the digit in the tenths place is 100 times as much as the value of the digit in the thousandth place

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3 years ago

Ben, Ray, and Lee ran laps around the school track. Ben ran 2 times as many laps as Ray. Lee ran 3 laps, which is one-half of th

melomori [17]

12 laps because Lee ran 3 and that's half of what ray ran so times that by 2 and then times 6 by 2 and that's your answer

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3 years ago

Which of the binomials below is a factor of this trinomial? x² - 4x-12 ​

Which of the binomials below is a factor of this trinomial? x² - 4x-12