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butalik [34]
3 years ago
9

For the function f(x)=5x2−5x, evaluate and simplify.

Mathematics
1 answer:
Marianna [84]3 years ago
7 0

9514 1404 393

Answer:

  10x -5 +5h

Step-by-step explanation:

Use the function definition with the given arguments.

  \dfrac{f(x+h)-f(x)}{h}=\dfrac{(5(x+h)^2-5(x+h))-(5x^2-5x)}{h}\\\\=\dfrac{(5(x^2+2hx+h^2)-5(x+h))-(5x^2-5x)}{h}\\\\=\dfrac{5x^2+10hx+5h^2-5x-5h-5x^2+5x}{h}=\dfrac{10hx-5h+5h^2}{h}\\\\=\boxed{10x-5+5h}

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What is an example of what property ?
vodomira [7]

Answer:

Distributive Property

Step-by-step explanation:

7 equals (3+4).

Therefore, 4*7 equals 4*(3+4).

By distributive property, this will equal (4*3) + (4*4)

8 0
3 years ago
Find the radius of a circle in which a central angle of StartFraction pi Over 7 EndFraction radian determines a sector of area 7
QveST [7]

Answer:

Step-by-step explanation:

The formula for determining the the area of a sector is expressed as

Area of Sector = θ/360 × πr²

Where

θ represents the central angle.

π is a constant whose value is 3.14

r represents the radius of the circle.

From the information given,

The central angle is π/7 radian. Converting to degrees, it becomes

π/7 × 180/π = 180/7 = 25.714 degrees.

Area of sector = 77 square meters

Therefore

77 = 25.714/360 × 3.14 × r²

77 = 0.2243r²

r² = 77/0.2243 = 343.29

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5 0
3 years ago
What is the slope of the line shown in the graph? (4 points)
Korvikt [17]

Answer:

a. or \frac{3}{-2}

Step-by-step explanation:

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5 0
2 years ago
Amelia spent an hour an a half on a drawing .At the end she said that it was 75% done.How much time do she needs and how much ti
noname [10]
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7 0
3 years ago
6% of a value is 510
Dennis_Churaev [7]

Answer:

The value is 8500

Step-by-step explanation:

Of means multiply and is means equals

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V =8500

6 0
3 years ago
Read 2 more answers
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