Given the sequence 1,3,5,7, find the next terms

If g(x)*x+1/x-2 abd h(x)=4-x, what is the value of (g*h) (-3)

kifflom [539]

Answer:

The value of (g*h) (-3) is $=-\frac{112}{3}$

Step-by-step explanation:

If $g(x) = x+\frac{1}{x}-2$ and $h(x)=4-x$

We have to find (g*h) (-3)

First multiply g(x) with f(x)

$(x+\frac{1}{x}-2)\times (4-x)$

$Distribute\:parentheses$

$=x\cdot \:4+x\left(-x\right)+\frac{1}{x}\cdot \:4+\frac{1}{x}\left(-x\right)+\left(-2\right)\cdot \:4+\left(-2\right)\left(-x\right)$

$\mathrm{Apply\:minus-plus\:rules}$

$+\left(-a\right)=-a,\:\:\left(-a\right)\left(-b\right)=ab$

$=4x-xx+4\cdot \frac{1}{x}-\frac{1}{x}x-2\cdot \:4+2x$

simplify

$=-x^2+6x+\frac{4}{x}-9$

Now, put x= -3 in above expression

$=-(-3)^2+6(-3)+\frac{4}{-3}-9$

$=\left(-\frac{1}{3}-3-2\right)\left(4+3\right)$

$=\left(-\frac{16}{3}\right)\left(4+3\right)$

$=7\left(-\frac{16}{3}\right)$

$=-\frac{16}{3}\cdot \:7$

$=-\frac{112}{3}$

Therefore, the value of (g*h) (-3) is $-\frac{112}{3}$

8 0

3 years ago

How much power is done when a 1 newton weighted object is raised a vertical distance of 1

STatiana [176]

Answer:

P = 1W

Step-by-step explanation:

The power is the work done by a force, divided by the time it needed. The work of weight, since the object is raised is equal to:

W = weight × distance = 1 × 1 = 1 Joule

W = 1 J

P = W/t = 1 J / 1 s = 1 Watt

So P = 1 Watt

7 0

3 years ago

Days before a presidential election, a nationwide random sample of registered voters was taken. Based on this random sample, i

leonid [27]

Answer:

No.

Step-by-step explanation:

Based on the sample, "52% of registered voters plan on voting for Robert Smith with a margin of error of plus or minus3%." The margin of error was based on a 95% confidence level.

Then 95% Confidence Interval is between 49% and 55%. Since confidence interval also includes non-majority proportions, the assumption that "95% confidence, Robert Smith will win the election" cannot be made.

6 0

3 years ago

Stonehenge is one of the most famous historical sites in the world. It is believed to

julia-pushkina [17]

Answer: Radius is 15.9975 meters.

Step-by-step explanation:

The formula to find radius of circle is r= $\sqrt{A/\pi }$ so plug in our known variables and solve...