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algol13
3 years ago
15

Factor x^3-4x^2+7x-28

Mathematics
1 answer:
puteri [66]3 years ago
3 0

Answer:

(x−4)(x^2+7)

There you GO!

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Steven and Bob both have a Pokemon card collection. The number of Pokemon cards in Steven's collection can be represented by x.
Arada [10]

Answer: 48

Step-by-step explanation:

The number of Pokemon cards in Steven's collection = x

The number of cards in Bob's collection is 4 times the amount in Steven's collection= 4x

The total number of Pokemon cards in both collections = 240

x + 4x = 240

5x = 240

x = 240/5

x = 48

The number of cards in Steven's collection is 48

8 0
3 years ago
Someone explain this
irina1246 [14]
Turn the mixed number into an improper fraction, than multiply regularly. If it's an improper fraction than divide the top number by the bottom
8 0
3 years ago
Solve <br> 4x+5x-27=15-12x
Aleks [24]

Answer:

x=2

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Find the area of the shade regions. Give your answer as a completely simplify exact value in terms of pie(no approximation). a=
mr Goodwill [35]

Answer:

<u>125.6 in²</u>

Step-by-step explanation:

Area shaded :

  • 2 × Sector (72°)
  • 2 x πr² x θ/360
  • 2 x 3.14 x 100 x 72/360
  • 6.28 x 100 x 1/5
  • 20 x 6.28
  • <u>125.6 in²</u>
4 0
1 year ago
If two points known on the line AB in the coordinate plane is (7,15) and (18,42), calculate the following..
Ksju [112]

<u>Answer:</u>

  • Slope = 27/11
  • AB = 29.15 u

<u>Step-by-step explanation:</u>

<u>Given :- </u>

  • Two points are given to us .
  • The points are A(7,15) and B(18,42)

<u>To Find</u> :-

  • The slope of the line .
  • The length of line AB .

We can find the slope of the line passing through the points ( x_1,y_1) and ( x_2,y_2)as ,

\implies m = \dfrac{ y_2-y_1}{x_2-x_{1}}

  • Plug in the respective values ,

\implies m = \dfrac{ 42-15}{18-7} \\\\\implies \boxed{ m = \dfrac{ 27}{11 }}

<u>Hence the slope of the line is 27/11 .</u>

\rule{200}2

<u>Finding the length of AB :-</u>

  • We can find the distance between them by using the Distance Formula .

\implies Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2} \\\\\implies Distance =\sqrt{ (18-7)^2+(42-15)^2 }  \\\\\implies Distance =\sqrt{ 11^2 + 27^2 } \\\\\implies Distance =\sqrt{ 121 + 729 } \\\\\implies Distance = \sqrt{ 850} \\\\\implies \boxed{ Distance = 29.15 \ units }

<u>Hence the length of AB is 29.15 units .</u>

5 0
3 years ago
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