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Crazy boy [7]
3 years ago
5

Find (f(x+h)-f(x))/(h) for the given function. f (x) = 5x2 - 6x + 4

Mathematics
1 answer:
Tema [17]3 years ago
6 0

Answer: 5h + 10x -6

Step-by-step explanation:

if we plug f(x) into the equation we get:

\frac{[5(x+h)^2 - 6(x+h) + 4] - [5x^2 - 6x + 4]}{h}

now from here we can simplify:

\frac{5x^2 + 5h^2 + 10xh - 6x - 6h + 4 - 5x^2 + 6x - 4}{h}

now add liked terms

\frac{5h^2 + 10xh - 6h}{h}

cancel what we can:

5h + 10x - 6

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Estimate the perimeter and area of the shaded figure to the nearest tenth.
Maru [420]

Answer:

Perimeter = 18.7 units

Area = 13.5 units²

Step-by-step explanation:

Perimeter of ADEC = AD + DE + EC + AC

Length of AD = 3 units

By applying Pythagoras theorem in ΔDBE,

DE² = DB² + BE²

DE² = 3² + 3²

DE = √18

DE = 4.24 units

Length of EC = 3 units

By applying Pythagoras theorem in ΔABC,

AC² = AB² + BC²

AC² = 6² + 6²

AC = √72

AC = 8.49 units

Perimeter of ADEC = 3 + 4.24 + 3 + 8.49

                                 = 18.73 units

                                 ≈ 18.7 units

Area of ADEC = Area of ΔABC - Area of ΔBDE

Area of ΔABC = \frac{1}{2}(AB)(BC)

                       = \frac{1}{2}(6)(6)

                       = 18 units²

Area of ΔBDE = \frac{1}{2}(BD)(BE)

                       = \frac{1}{2}(3)(3)

                       = 4.5 units²

Area of ADEC = 18 - 4.5

                        = 13.5 units²

6 0
3 years ago
david counts the quarters in his change jar. He has 24 more quarters than his brother Rob. if r is the number of quarters Rob ha
denis-greek [22]
Rob has R quarters, and David has R + 24 or 24 more than rob, so together they have 2R+24
8 0
3 years ago
A certain building has a triangular shaped face to link up of the sides of the triangular base or 145 feet 257 feet in 290 feet
attashe74 [19]

Answer:

18617.66 ft^2

Step-by-step explanation:

sides of triangular base

a=  145ft  ,

b = 257ft ,

c =  290ft

<u>calculate the area of the base  </u>

The base is a scalene triangle hence the area is calculated as follows

s = ( a + b + c ) / 2

  = ( 145 + 257 + 290 ) / 2 = 346

Area of triangle = \sqrt{s(s-a)(s-b)(s-c)}  = \sqrt{346(201)(89)(56)}

                          = 18617.66 ft^2

3 0
2 years ago
When you multiply a function by -1 what is the effect on its graph?
vlada-n [284]

Answer:

Step-by-step explanation:

Depends on what you mean by multiplying by - 1.  I assume you are not going to multiply the y or f(x) term by - 1.

If that is so, take an example. Suppose you have a graph that is y=x^2

That's a parabola that opens upwards and it has a line going through its focus which is a point on the +y axis.

When you multiply the right hand side by - 1, the graph you get will be y = - x^2.

That opens downward and the focus is on the - y axis.

That means that the effect of the graph is that it flips over the x axis, which I think is the third answer.

5 0
3 years ago
Edwin built a picture frame 13 inches long and 10 inches wide out of wood that is 2 inches wide.
SSSSS [86.1K]
D is the correct a answer
8 0
2 years ago
Read 2 more answers
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