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valkas [14]
3 years ago
6

Is it true that (x^2–3x+2)/(x –1) = x – 2, for all values of x? Justify your answer.

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
6 0

Answer:

x²-3x+2=0

x²-2x-x+2=0

(x²-2x)(-x+2)=0

x(x-2)-1(x-2)=0

(x-2)(x-1)=0

x-2=0 or x-1=0

x=2 or x=1

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lisov135 [29]

Answer:

Horizontal distance = 0 m and 6 m

Step-by-step explanation:

Height of a rider in a roller coaster has been defined by the equation,

y = \frac{1}{3}x^{2}-2x+8

Here x = rider's horizontal distance from the start of the ride

i). y=\frac{1}{3}x^{2}-2x+8

      =\frac{1}{3}(x^{2}-6x+24)

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ii). Since, the parabolic graph for the given equation opens upwards,

    Vertex of the parabola will be the lowest point of the rider on the roller coaster.

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    Vertex → (3, 5)

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6 0
2 years ago
Emma has addressed seven invitations to her
Firlakuza [10]

Answer:

12

Step-by-step explanation:

This can be solved by working backwards.

7 is one more than half the number of invitations.

Subtract 1.  6 is half the number of invitations.

Double.

12 is the full number of invitations.

Algebra (if you must!):

x = number of invitations

x/2 + 1 = 7

Subtract 1.

x/2 = 6

Multiply by 2.

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vodomira [7]
The second place runner had already completed 320 meters when the winner crossed the finish line

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3 years ago
Three times a number minus thirty-two
lbvjy [14]

Answer:

3n−32=7n+28

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Step-by-step explanation:

Let's solve your equation step-by-step.

3n−32=7n+28

Step 1: Subtract 7n from both sides.

3n−32−7n=7n+28−7n

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Step 2: Add 32 to both sides.

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Step 3: Divide both sides by -4.

−4n/−4=60/−4

n=−15

3 0
2 years ago
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