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Sonja [21]
2 years ago
10

Which expression is equivalent to (f + g)(4)?

Mathematics
2 answers:
ddd [48]2 years ago
3 0

(f + g)(x) = f(x) + g(x) therefore (f + g)(4) = f(4) + g(4)

liberstina [14]2 years ago
3 0

Answer:f(4)+g(4)


Step-by-step explanation:

For any functions f and g on x , the sum of functions (f+g)(x) is equivalent to f(x)+g(x)

OR

(f+g)(x)=f(x)+g(x)

Thus, for x=4 we have

(f+g)(4)=f(4)+g(4)

The expression f(4)+g(4) is equivalent to (f+g)(4)

f(4) and g(4) means that we should find the value of our function when x equals 4.

(f+g)(4) means we should find the value of our function as sum, when x equals 4.

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Answer:

x² + (y-74)² = 4900

Step-by-step explanation:

Circle equation: (x-h)² + (y-k)² = r²

"h" refers to horizontal shifts while "k" refers to vertical shifts. If the center of the wheel is directly above the origin of the rectangular plane and the entire wheel is 4 ft. from the ground then:

  • h = 0
  • k = 74 (the radius + 4 ft.)
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So plugging those into the equation of circles, we get the answer above.

7 0
3 years ago
If the area of a circle is 58 square feet, find the circumference. A. 42.5 ft. B. 4.25 ft. C. 22.35 ft. D. 26.99 ft.
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Answer: OPTION D.

Step-by-step explanation:

The formula for calculate the circumference of a circle is:

C=2r\pi

Where <em>r</em> is the radius.

The formula for calculate the area of a circle is:

A=r^2\pi

Where <em>r</em> is the radius.

Solve for <em>r</em> from A=r^2\pi to calculate it:

r=\sqrt{\frac{A}{\pi}}\\r=\sqrt{\frac{58ft^2}{\pi}}\\r=4.296ft

Subsitute the radius into C=2r\pi. Then:

C=(2)(4.296ft)\pi=26.99ft

3 0
3 years ago
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vova2212 [387]

Answer:

x = 200

Step-by-step explanation:

Given

\frac{1}{5} x - \frac{2}{3} y = 30 ← substitute y = 15 into the equation

\frac{1}{5} x - \frac{2}{3} × 15 = 30 , that is

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\frac{1}{5} x = 40 ( multiply both sides by 5 to clear the fraction )

x = 200

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Answer:

\frac{q}{360} × π10 = 7

Explanation:

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Simply plug in radius and arc length to get your equation.

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