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jonny [76]
3 years ago
5

Complete the factorization of 3x2 – 5x + 2.

Mathematics
2 answers:
Ad libitum [116K]3 years ago
8 0
Multiply the first coefficient (3) and the last term (2) to get 3*2 = 6

We need to find two numbers that

a) multiply to 6
AND
b) add to -5 (middle coefficient)

Such two numbers are -3 and -2
-3 times -2 = 6
-3 plus -2 = -5

So we can break up the -5x into -3x-2x and then factor by grouping

--------------

3x^2-5x+2

3x^2-3x-2x+2

(3x^2-3x)+(-2x+2)

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

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

(3x-2)(x-1)

So the two factors are (3x-2) and (x-1)

The answers are A and C
Svetlanka [38]3 years ago
4 0

Answer:

It's B and D for anyone else that needs it.

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kogti [31]

They won 14 games. If you subtract 2 ( the ties ) you are left with 22. Subtract 6 ( games more won than loss) you get 16. Then divide by two and get 8. 8 + 6 = 14.

6 0
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Yuri [45]
The answer is c i believe
4 0
2 years ago
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DochEvi [55]

Answer:

A. way to pay in advance for using a car for a given time period

Step-by-step explanation:

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5 0
2 years ago
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A plane flew 360km in 3 hrs when flying with the wind.With no change in the wind,the return trip took 4 hrs.Find the speed of th
morpeh [17]
Speed of the plane: 250 mph
Speed of the wind: 50 mph
Explanation:
Let p = the speed of the plane
and w = the speed of the wind
It takes the plane 3 hours to go 600 miles when against the headwind and 2 hours to go 600 miles with the headwind. So we set up a system of equations.
600
m
i
3
h
r
=
p
−
w
600
m
i
2
h
r
=
p
+
w
Solving for the left sides we get:
200mph = p - w
300mph = p + w
Now solve for one variable in either equation. I'll solve for x in the first equation:
200mph = p - w
Add w to both sides:
p = 200mph + w
Now we can substitute the x that we found in the first equation into the second equation so we can solve for w:
300mph = (200mph + w) + w
Combine like terms:
300mph = 200mph + 2w
Subtract 200mph on both sides:
100mph = 2w
Divide by 2:
50mph = w
So the speed of the wind is 50mph.
Now plug the value we just found back in to either equation to find the speed of the plane, I'll plug it into the first equation:
200mph = p - 50mph
Add 50mph on both sides:
250mph = p
So the speed of the plane in still air is 250mph.
6 0
2 years ago
List 2 integers that are congruent to 4 modulo 14.
vivado [14]

Answer:

32, 46

Step-by-step explanation:

Remember, a is congruent to b modulo d if d divides a-b.

Now, the problem says that b=4 and d=14.

Let a=32. Observe that a-b=28 and \frac{28}{14}=2, then 32 is congruent to 4 modulo 14.

Let a=46. Observe that a-b=46-4=42 and \frac{42}{14}=3, then 46 is congruent to 4 modulo 14.

7 0
3 years ago
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