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2 years ago

For all values of x,

Mathematics

1 answer:

Nana76 [90]2 years ago

6 0

Answer:

For f(x) = 2x + 3 and g(x) = -x 2 + 1, find the composite function defined by (f o g)(x)

(f o g)(x) = f(g(x))

= 2 (g(x)) + 3

= 2( -x 2 + 1 ) + 3

= - 2 x 2 + 5 Given f(2) = 3, g(3) = 2, f(3) = 4 and g(2) = 5, evaluate (f o g)(3)

Step-by-step explanation:

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The following picture shows two gears meshed together with the arrows lined up. Gear A has 48 teeth, while gear B has 28 teeth.

spin [16.1K]

Answer: 12

<u>Step-by-step explanation:</u>

The LCM of 48 and 28 is 336

It would take 336 ÷ 28 = 12 revolutions of gear B

and 336 ÷ 48 = 7 revolutions of gear A

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3 years ago

Find the area of the composite shape

Alexxandr [17]

Answer:

$13.735$ $ft^{2}$

Step-by-step explanation:

Area of a circle.

$A=\pi r^{2}$

$r=d/2\\r=8/2\\r=4$

$A=\pi \times 4^{2}$

$A=16\pi$

$A \approx 50.2654824574$

Area of a square.

$A=s^{2}$

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$A=64$

Subtract the area of the square with the area of the circle.

$64-50.2654824574$

$= 13.7345175426$

I hope it helps.

Brainliest much appreciated.

8 0

2 years ago

Find the volume of the sphere

ioda

the answer is 12 because half of the sphere is 6 unit and the other half is 6 unit then you just add them and you get 12 units

6 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=5x-%20%5Cdfrac%7B%20%5Csqrt%7B%209%20%7B%20x%20%7D%5E%7B%202%20%7D%20-6x%2B1%20%5Cphantom%7B%5

Morgarella [4.7K]

Answer:

$=5x+1$ or $=5x-1$

Step-by-step explanation:

One is given the following equation:

$5x-\frac{\sqrt{9x^2-6x+1}}{1-3x}$

The problem asks one to simplify the expression, the first step in solving this equation is to factor the equation. Rewrite the numerator and denominator of the fraction as the product of two expressions. Remember the factoring patterns:

$(a-b)^2=a^2-2ab+b^2$

$=5x-\frac{\sqrt{9x^2-6x+1}}{1-3x}$

$=5x-\frac{\sqrt{(3x-1)^2}}{-(3x-1)}$

Now simplify the numerator. Remember, taking the square root of a squared value is the same as taking the absolute value of the expression,

$=5x-\frac{\sqrt{(3x-1)^2}}{1-3x}$

$=5x-\frac{|3x-1|}{-(3x-1)}$

Rewrite the expression without the absolute value sign in the numerator. Remember the general rule for removing the absolute value sign:

$|a-b|\\=a -b$ or $(-a-b) = b-a$

$=5x-\frac{|3x-1|}{-(3x-1)}$

$=5x-\frac{3x-1}{-(3x-1)}$ or $=5x-\frac{-(3x-1)}{-(3x-1)}$

Simplify both expressions, reduce by canceling out common terms in both the numerator and the denominator,

$=5x-\frac{3x-1}{-(3x-1)}$ or $=5x-\frac{-(3x-1)}{-(3x-1)}$

$=5x-(-1)$ or $=5x-(1)$

Simplify further by rewriting the expression without the parenthesis, remember to distribute the sign outside the parenthesis by the terms inside of the parenthesis; note that negative times negative equals positive.

$=5x-(-1)$ or $=5x-(1)$

$=5x+1$ or $=5x-1$

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2 years ago

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Travka [436]

Answer:

$\beta , \alpha , \gamma$

Step-by-step explanation:

6 0

3 years ago

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