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ollegr [7]
4 years ago
13

Please show me step by step: x^3+2x^2-5x-6=0

Mathematics
1 answer:
Kazeer [188]4 years ago
3 0

Answer:

x=-1, x=2, x=3

Step-by-step explanation:

Factor the left side of the equation.

(x+1)(x^2+x-6)

(x+1)(x-2)(x-3)

Now set everything equal to 0

x+1=0

x-2=0

x-3=0

Now solve for x

therefore, the answer is x=-1, x=2, x=3

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A store had a sale on art supplies. the price p of each item was marked down 60%.which expression repression the new price.
Salsk061 [2.6K]
Theres not much work to show 
art supplies price = p   60% = .60
just multiply p * .60 = price with sale

6 0
3 years ago
A boat travels at 15 km/hr in still water. In travelling 45 km downstream from town A to town Bit completes the journey in 75 mi
Crank
Let the speed of river be x   km/hr down stream.

Time = Distance / speed

Since river flows downstream,  speed of boat down stream = Speed of boat + speed of river =  (15 + x).

 Since river flows downstream,  speed of boat upstream = Speed of boat - speed of river =  (15 - x).

Time Upstream - Time Downstream = 75 minutes

Time Upstream =  45 / (15 - x)

Time Downstream =  45 / (15 + x)

75 minutes = 75/60  =  5/4 hours

Time Upstream - Time Downstream = 75 minutes = 5/4 hours

45 / (15 - x)    -    45 / (15 + x)  = 5/4          Divide both sides by 45

1 / (15 - x)    -    1 / (15 + x)  = (5/4)*(1/45)

 1 / (15 - x)    -    1 / (15 + x)  = 1/36

((15 + x) - (15 -x)) / (15-x)(15+x)  = 1/36

(15 +x - 15 +x) / (15-x)(15+x)  =  1/36

  2x / (15-x)(15+x)  = 1/36

 (15-x)(15+x) = 2x*36

(15-x)(15+x) = 72x

225 - x² = 72x

0 =  x² + 72x -225

x² + 72x -225 = 0            This is a quadratic function, use a calculator that can solve the function, by inputting the function.

x = 3, or -75.  Since we are solving for speed, we can not have negative values.

x = 3 is the only valid solution.

Speed of the river =  3 km/hr  downstream.

Copyright.
7 0
4 years ago
PLZ HELP I WILL GIVE 20 POINTS WHOEVER ANSWERS FIRST:
nalin [4]

Answer:

-2

Step-by-step explanation:

So to find slope you just subtract y^1 - y^2 and divide it by x^1 - x^2

The first point is (2, 1)

The second is (0, 5)

1 is our y^1 and 5 is our y^2

1 - 5 = -4

2 is our x^1 and 0 is our x^2

2 - 0 = 2

So our slope is -4/2, reduced its -2

I hope this helped, please mark Brainliest, thank you!

4 0
3 years ago
Select the three equations that have
MakcuM [25]

Answer:y+2.9=11, 2y+1=17.2, 28.4-y=20.3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The length of a rectangle is 3 ft more than twice the width, and the area of the rectangle is 77 ft2 . find the dimensions of th
raketka [301]
Hello : 
let : y  the   length  and : x  <span>the width
y = 2x +3.....(1)
xy = 77 .....(2)
by (1) subsct : y    i n (2) 
x(2x+3) = 77
2x²+3x -77 = 0
the descrimnent : b²-4ac    ... a =2   b= 3    c = -77
3²-4(2)(-77) = 625 = 25²
x1 = (-3-25)/4   negatif refused
x2 = (-3+25)/4 =22/4 = 11/2
x= 5.5
 y = 2(5.5) +3 =14</span>
8 0
3 years ago
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