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3 years ago

Fx) = x2 - 8x + 15 g(x) = x-3 h(x) = f(x)/g(x)

Mathematics

1 answer:

aev [14]3 years ago

8 0

Answer: $\Large\boxed{h(x)=x-5}$

Step-by-step explanation:

$\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppp\displaystyle\ \Large \boldsymbol{} h(x)=\frac{f(x)}{g(x)} =? \\\\\\f(x)=x^2-8x+15\\\\\\x^2-8x+\underbrace{15+1-1}_{15}=0 \\\\\\\underbrace{x^2-8x+16}_{(x-4)^2}-1=0 \\\\\\(x-4)^2-1\Longrightarrow f(x)=(x-5)(x-3)$ $\displaystyle\ \Large \boldsymbol{} h(x)=\frac{(x-3)(x-5)}{(x-3)}=\boxed{x-5}$

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a coin is taken at random froma purse that contains one penny, 2 nickels, 4 dimes, and 3 quarters. let x be the value of the dra

algol [13]

Answer:

x = 12.6 pennies

Step-by-step explanation:

total number of coins = 1 + 2+ 4 + 3 = 10 coins

P(penny) = $\dfrac{1}{10}$

P(nickels) = $\dfrac{2}{10}$

P(dimes) = $\dfrac{4}{10}$

P(quarters) = $\dfrac{3}{10}$

hence average value of the coin

x = Penny x P(Penny) + nickel x P(nickel) + dimes x P(dimes) + quarters x P(quarters)

nickels = 5 pennies dimes = 10 ; and quarters = 25 pennies

$x = 1 \times \dfrac{1}{10} + 5\times \dfrac{2}{10} +10\times \dfrac{4}{10} + 25\times \dfrac{3}{10}$

x = 0.1 + 1 + 4 + 7.5

x = 12.6 pennies

hence, the average pennies for the first draw is equal to x = 12.6 pennies

6 0

3 years ago

550000000000000000 • 0.00000000044

nasty-shy [4]

Answer:

550000000000000000 0.00000000044

Step-by-step explanation:

000000Oo

5 0

3 years ago

Please help. I will give brainliest.

jolli1 [7]

The value calculated by adding all the values of in a data set and dividing the sum by the number of values → Mean

The middle value when all the values are in order from least to greatest → Median

The value that appears most often in a data set → Mode

Hope this helped :)

8 0

4 years ago

Mandisa draws a rectangle to represent the area of her yard. The area can be represented by 10x2 – 13x – 14.

andrew-mc [135]

Answer:

(x-2) and (10x+7)

Step-by-step explanation:

10x²-13x-14

10x²-20x+7x-14

10x(x-2)+7(x-2)

(x-2)(10x+7)

the factors are (x-2)(10x+7)

meaning that the length and breadth are (x-2) and (10x+7)

4 0

3 years ago

Read 2 more answers

The indicated function y1(x is a solution of the given differential equation. use reduction of order or formula (5 in section 4.

Taya2010 [7]

Given a solution $y_1(x)=\ln x$ , we can attempt to find a solution of the form $y_2(x)=v(x)y_1(x)$ . We have derivatives

$y_2=v\ln x$
${y_2}'=v'\ln x+\dfrac vx$
${y_2}''=v''\ln x+\dfrac{v'}x+\dfrac{v'x-v}{x^2}=v''\ln x+\dfrac{2v'}x-\dfrac v{x^2}$

Substituting into the ODE, we get

$v''x\ln x+2v'-\dfrac vx+v'\ln x+\dfrac vx=0$
$v''x\ln x+(2+\ln x)v'=0$

Setting $w=v'$ , we end up with the linear ODE

$w'x\ln x+(2+\ln x)w=0$

Multiplying both sides by $\ln x$ , we have

$w' x(\ln x)^2+(2\ln x+(\ln x)^2)w=0$

and noting that

$\dfrac{\mathrm d}{\mathrm dx}\left[x(\ln x)^2\right]=(\ln x)^2+\dfrac{2x\ln x}x=(\ln x)^2+2\ln x$

we can write the ODE as

$\dfrac{\mathrm d}{\mathrm dx}\left[wx(\ln x)^2\right]=0$

Integrating both sides with respect to $x$ , we get

$wx(\ln x)^2=C_1$
$w=\dfrac{C_1}{x(\ln x)^2}$

Now solve for $v$ :

$v'=\dfrac{C_1}{x(\ln x)^2}$
$v=-\dfrac{C_1}{\ln x}+C_2$

So you have

$y_2=v\ln x=-C_1+C_2\ln x$

and given that $y_1=\ln x$ , the second term in $y_2$ is already taken into account in the solution set, which means that $y_2=1$ , i.e. any constant solution is in the solution set.

4 0

3 years ago