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Vesnalui [34]
2 years ago
6

F(x)=√x g(x) = √ 2 - x, find (fºg)x.

Mathematics
1 answer:
podryga [215]2 years ago
8 0

Answer:

∘g(x)=2x2−4x−3. And g∘f(x)=(2x−3)(2x−5)

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Which values of a, b, and c correctly represent the answer in simplest form?
sergiy2304 [10]

Answer:

The answer for this is a=1,b=7,c=19.

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2 years ago
While drying, apple loses 14% of its weight. How many pounds of fresh apple is needed to get 10 8/25 lbs of dried apple?
aksik [14]

Answer:

12lbs

Step-by-step explanation:

let x be the amount of apples you need, then:

x-0.14x= 10 8/25

0.86x = 10 8/25

(10 8/25) : 86 * 100 = x

x=12

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Brainliest for anyone if they get this CORRECT.
steposvetlana [31]

(x + 8)(x - 6)

to factorise consider the factors of - 48 which sum to + 2

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Solving separable differential equation DY over DX equals xy+3x-y-3/xy-2x+4y-8​
Ivanshal [37]

It looks like the differential equation is

\dfrac{dy}{dx} = \dfrac{xy + 3x - y - 3}{xy - 2x + 4y - 8}

Factorize the right side by grouping.

xy + 3x - y - 3 = x (y + 3) - (y + 3) = (x - 1) (y + 3)

xy - 2x + 4y - 8 = x (y - 2) + 4 (y - 2) = (x + 4) (y - 2)

Now we can separate variables as

\dfrac{dy}{dx} = \dfrac{(x-1)(y+3)}{(x+4)(y-2)} \implies \dfrac{y-2}{y+3} \, dy = \dfrac{x-1}{x+4} \, dx

Integrate both sides.

\displaystyle \int \frac{y-2}{y+3} \, dy = \int \frac{x-1}{x+4} \, dx

\displaystyle \int \left(1 - \frac5{y+3}\right) \, dy = \int \left(1 - \frac5{x + 4}\right) \, dx

\implies \boxed{y - 5 \ln|y + 3| = x - 5 \ln|x + 4| + C}

You could go on to solve for y explicitly as a function of x, but that involves a special function called the "product logarithm" or "Lambert W" function, which is probably beyond your scope.

8 0
1 year ago
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Tcecarenko [31]

Answer:

2nd option

Step-by-step explanation:

Graph both equations and find the point where they both intersect. In this case, it's (4,2).

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