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Marina86 [1]
3 years ago
6

If f(x) = 3 – 2x and g (x) = 1/x+5 , what is the value of f/g (8)?

Mathematics
1 answer:
snow_tiger [21]3 years ago
4 0

Answer:

-104/41

Step-by-step explanation:

f(8) = -13

g(8) = 41/8

f/g(8) = -13/1 / 41/8 = -(13×8) / (41×1) = -104 / 41

f/g(x) = (3-2x) / (1/x + 5) = (3-2x)/1 / ((1+5x)/x) =

= x×(3-2x) / (1+5x) = (3x - 2x²) / (1 + 5x)

for x=8 this gives the same result.

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Thepotemich [5.8K]

Answer:

x³ - 6x² + 18x - 10

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

= x³ - 2x² + 12x - 6 - (4x² - 6x + 4)

= x³ - 2x² + 12x - 6 - 4x² + 6x - 4 ← collect like terms

= x³ - 6x² + 18x - 10

6 0
3 years ago
Find the midpoint of AB for: A(7,0)|and B(0,3)​
liberstina [14]

Answer:

\boxed {\boxed {\sf (\frac {7}{2}, \frac{3}{2}) \ or \ (3,5, 1.5) }}

Step-by-step explanation:

The midpoint is essentially a point with the average of the 2 x-coordinates and the 2 y-coordinates.

The formula is:

(\frac {x_1+x_2}{2}, \frac{y_1+y_2}{2})

We are given two points: A (7,0) and B (0, 3). Remember points are written as (x, y).

Therefore,

x_1= 7 \\y_1=0 \\x_2=0 \\x_2=3

Substitute the values into the formula.

(\frac {7+0}{2}, \frac{0+3}{2})

Solve the numerators first.

(\frac {7}{2}, \frac{3}{2})

The midpoint can be left like this because the fractions are reduced, but it can be written as decimals too.

(3.5, 1.5)

3 0
3 years ago
The length of a rectangle is three times its width. if the area of the rectangle is 75 in2, find its perimeter.
UkoKoshka [18]

Answer:

  40 in

Step-by-step explanation:

For a width of w, the length is 3w and the area and perimeter are ...

  A = LW = (3w)(w) = 3w^2

  P = 2(L+W) = 2(3w +w) = 8w

We are given the area, so we can find w to be ...

  75 in^2 = 3w^2

  25 in^2 = w^2 . . . . . divide by 3

  5 in = w . . . . . . . . . square root

Then the perimeter is ...

  P = 8w = 8(5 in) = 40 in

7 0
3 years ago
Which body parts do birds have? scales, teeth, and beaks feathers, beaks, and hair feathers, beaks, and teeth feathers, beaks, a
Annette [7]

Answer:

head, back, throat, breast, wings, tail, and legs

7 0
3 years ago
Read 2 more answers
Please help ASAP. Find the volume of the trapezoid as a simplified expression. If correct I will give brainliest.
Leokris [45]

Answer:

2x^2*(2x^3+8x^2+2x)      or

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Step-by-step explanation:

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or A=4x^5+16x^4+4x^3

6 0
3 years ago
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