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Irina18 [472]
3 years ago
15

If (ax+2)(x+b) = 3x^2 + 5x + c for all values of x, what is the value of c?

Mathematics
1 answer:
Papessa [141]3 years ago
5 0

Answer:

c=2

Step-by-step explanation:

(ax+2)(x+b) = ax^2+2x+abx+2b = ax^2+(2+ab)x+2b

Given, ax^2+(2+ab)x+2b = 3x^2+5x+c

a=3

2+ab=5 => 2+3b=5 => 3b=5-2=3 => b=1

2b=c => c=2*1 = 2

So, c=2

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PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!
Alina [70]

Yo sup??

We can solve this problem by applying trigonometric ratios.

sin36=XY/WY

WY=5/sin36

=8.5

Hope this helps.

6 0
3 years ago
You roll a six-sided die. Find the probability of each of the following scenarios
romanna [79]

Answer:

a) 1/2

b) 5/6

c) 2/3

Step-by-step explanation:

a)

Rolling a number greater than 3 means you can roll a 4, 5, or 6, which contains rolling a 6. So, the probability is (1+1+1)/6=3/6=\boxed{1/2}

b)

Rolling a number less than 5 means you can roll a 1, 2, 3, or 4, but because you could also roll an even number, so you could also roll a 6.

So, the probability is (1+1+1+1+1)/6=\boxed{5/6}

c)

Rolling a 4 or an odd number means you can roll a 1, 3, 5, or 4. So, the probability is (1+1+1+1)/6=4/6=\boxed{2/3}

6 0
2 years ago
Braceleftzf y = 8/7 x − 2/3 <br> 8/3 x + y = 5/9
givi [52]

Answer:

  (x, y) = (77/240, -3/10)

Step-by-step explanation:

It is convenient to write the equations in standard form.

Multiplying the first equation by 21 gives ...

  21y = 24x -14

Multiplying the second equation by 8 gives ...

  24x +9y = 5

Then the system of equations in standard form is ...

  • 24x -21y = 14
  • 24x +9y = 5

Subtracting the first from the second, we get ...

  (24x +9y) -(24x -21y) = (5) -(14)

  30y = -9

  y = -9/30 = -3/10

Substituting this into the second equation, we have ...

  24x +9(-3/10) = 5

  24x = 7.7 . . . . . . . add 27/10

  x = 7.7/24 = 77/240

The solution is (x, y) = (77/240, -3/10).

7 0
3 years ago
there are 5 pounds of apples in one bag make a table to show how many pounds of apples are in 6 bags. how do you know your answe
Dmitrij [34]
You can make a table like this:


If 1 bag=5 pounds
Then 6 bags must equal six times the weight of the first bag
5 times 6=30
Your answer is reasonable because 5+5+5+5+5+5=30

a.k.a
=5 =30


3 0
2 years ago
Read 2 more answers
Please solve and show steps for both 23 and 24
const2013 [10]
23. The answer is D. If you multiply 0.8 by 5 you get 4 meters which means it would take 5 minutes. Multiplying it by 5 will give you a whole number therefore easier to find on the graph.

24. The answer is G. The square root of 5 is 2.23 and the square root of 2 is 1.4
3 0
3 years ago
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