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Papessa [141]
3 years ago
13

I don't understand how to do this? Let f(x) = x2 − 2x + 2 and g(x) = x − 3. Find f(x) ⋅ g(x

Mathematics
1 answer:
serg [7]3 years ago
4 0
Multiply the functions
(x^2-2x+2)(x-3)=
(x^2-2x+2)(x)+(-3)(x^2-2x+2)=
(x^3-2x^2+2x)+(-3x^2+6x-6)=
x^3-2x^2+2x-3x^2+6x-6=
x^3-2x-3x^2+2x+6x-6=
x^3-5x^2+8x-6

f(x)g(x)=x^3-5x^2+8x-6

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a square garden with a side of 150m has a square swimming pool in the very center with a side length of 25m calculate the area o
marta [7]

Answer: 21,875 sqm

Step-by-step explanation:

Step 1:

   Find the gross area of the garden.

   Square 150m = 22,500 sqm.

Step 2:

   Find the area of the pool.

   Square 25m = 625 sqm.

Step 3:

   Subtract the area of the pool from the gross area of the garden

   to find the net area of the garden.

   22,500 - 625 = 21,875 sqm.

Warning:

   Do not subtract the side length of the swimming pool from the side length

   of the garden before squaring.

7 0
3 years ago
What is the value of x? 60 and 95 are the degrees
bogdanovich [222]

Answer: The answer is 25

Step-by-step explanation:

First, You would add the two numbers together, which you get 155

Then, the degrees of a triangle is equal to 180. So you would subtract 155 from 189, and you should get 55.

Hope this helps :3

3 0
3 years ago
Read 2 more answers
What percent of 18.75 is 27?
Olin [163]
The answer is 144%





Your welcome

4 0
4 years ago
Help me solve this please
shutvik [7]

Answer:

D'G' = 52.5 units

Step-by-step explanation:

Since the dilatation is centred at the origin then multiply the original coordinates by the scale factor 3.5

D' = (1 × 3.5, 7 × 3.5 ) = (3.5, 24.5 )

G' = (- 8 × 3.5, - 5 × 3.5 ) = (- 28, - 17.5 )

Calculate D'G' using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = D' (3.5, 24.5) and (x₂, y₂ ) = G' (- 28, - 17.5)

D'G' = \sqrt{(-28-3.5)^2+(-17.5-24.5)^2}

       = \sqrt{(-31.5)^2+42^2}

       = \sqrt{992.25+1764}

        = \sqrt{2756.25}

         = 52.5 units

7 0
3 years ago
The cost of renting a car is $42 a day plus 25 cents per mile. How far can Alex drive in one day if he only has $162
earnstyle [38]

Answer:

Alex can drive 480miles in one day period.

Step-by-step explanation:

$162- $42 =$120

$120/0.25¢=480

480miles

8 0
3 years ago
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