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galina1969 [7]
2 years ago
6

What is a common factor of 32 and 36?

Mathematics
2 answers:
Arada [10]2 years ago
5 0
32: 1, 2, 4, 8, 16, 32
36: 1, 2, 3, 4, 6, 6, 9, 18, 36
Some common factors are 1, 2, 4
<span>The Greatest common factor is 4</span>
wolverine [178]2 years ago
3 0
<span>Common Factors of 32 and 36 
factors of 32 = 1, 2, 4, 8, 16 and 32
factors of 36 = 1, 2, 3, 4, 6, 9, 18, 36
So the common factors of 32 and 36 are 1, 2 and 4.
The greatest common factor is 4</span>
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Find the domain of the function <br><br> f(x)= 5x^2 +2x-1
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The domain is x such that x belong to real number
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Can you help out on this please​
kari74 [83]

Answer:

B

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4 0
3 years ago
can someone please help me figure this out? this is a summative and I'm failing for the year. it's algebra 1. ​
34kurt

Part (a)

  • x = number of bass caught
  • y = number of trout caught

x and y are nonnegative whole numbers.

3x represents the total weight of all the bass, since one bass weighs 3 pounds. Similarly, 2y is the total weight of the trout with each one being 2 pounds.  Adding up all the weight of all the fish, we get 3x+2y. This is set equal to 34 pounds which is the total stated weight caught.

In short, we end up with the equation 3x+2y = 34

Now onto the second equation. The expression 5x represents how many points Pat gets from catching x bass, because he gets 5 points per bass. Then we subtract off 2y to represent Pat losing 2 points per trout he catches. Overall, his point total is 5x-2y. This is set equal to his point total of 14.

The second equation is 5x-2y = 14

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

Answer:

3x+2y = 34

5x-2y = 14

Both equations are needed to form this particular system.

===================================================

Part (b)

We could use a number of methods to solve for (x,y). Possibly the most efficient is elimination. Why? Because note how we have 2y up top and -2y down below. They add to 0y which is just 0. The y terms go away, and are eliminated. Afterward, all we're left with is x in which we can solve for just like any other single variable equation. More info is in part (c).

===================================================

Part (c)

Refer to the answer in part (a). We'll add straight down. So that means we have these three sets of addition operations.

  • 3x+5x becomes 8x
  • 2y + (-2y), aka 2y-2y, becomes 0y and the y terms go away
  • 34+14 simplifies to 48

After those three sets of addition operations, we're left with the much simpler equation 8x = 48. To solve this, we divide both sides by 8 and we get x = 6. This says Pat caught 6 bass.

Use this value of x to find y. So we'll plug x = 6 into either equation involving x,y and solve for y

3x+2y = 34

3(6)+2y = 34

18+2y = 34

2y = 34-18

2y = 16

y = 16/2

y = 8

So we can see that Pat caught 8 trout as well.

The check portion is shown in the attached image below. Effectively, all we're doing is replacing x and y with 6 and 8 respectively. Then we're simplifying both sides. Getting the same number on both sides results in a true equation, and therefore verifies we have the correct (x,y) solution.

Solution: (x,y) = (6,8)

Interpretation: Pat caught 6 bass and 8 trout

7 0
3 years ago
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