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Anna11 [10]
2 years ago
7

How many subjective functions are there from {1,2,3,4} to {1,2,3}

Mathematics
1 answer:
Ann [662]2 years ago
4 0

Answer:

IM ON THE SAME ONEEE let me know when you have it

Step-by-step explanation:

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Factor 4x^4+7x^2-2=0
natulia [17]

Answer:

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

Step-by-step explanation:

Here's a trick:  Use a temporary substitution for x^2.  Let p = x^2.  Then 4x^4+7x^2-2=0 becomes 4p^2 + 7p - 2 = 0.  

Find p using the quadratic formula:  a = 4, b = 7 and c = -2.  Then the discriminant is b^2-4ac, or (7)^2-4(4)(-2), or 49+32, or 81.  

Then the roots are:

       -7 plus or minus √81

p=   --------------------------------

                        8

p = 2/8 = 1/4 and p = -16/8 = -2.

Recalling that p = x^2, we let p = x^2 = 1/4, finding that x = plus or minus 1/2.  We cannot do quite the same thing with the factor p= -2 because the roots would be complex.

If x = 1/2 is a root, then 2x - 1 is a factor.  If x = -1/2 is a root, then 2x+1 is a factor.  

Let's multiply these two factors, (2x-1) and (2x+1), together, obtaining 4x^2 - 1.  Let's divide this 4x^2 - 1 into 4x^4+7x^2-2=0.  We get x^2+2 as quotient.

Then, 4x^4+7x^2-2=0 in factored form, is (2x-1)(2x+1)(x^2+2) = 0.

6 0
3 years ago
Lara wrote the statements shown in the chart below:
Brums [2.3K]

Answer:

Option 4:

Statement 1 and Statement 2 are theorems because they can be proved.


7 0
3 years ago
Read 2 more answers
Look at this shape:
worty [1.4K]

Answer:

In my opinion is B

4 0
2 years ago
5379 divided by seven
Nookie1986 [14]
It is 768.4285714285714
8 0
3 years ago
What is the slope of the line?
Blizzard [7]

Answer:

Not enough information given

Step-by-step explanation:

To find the slope, you need two points. You put the values into this formula:

(y_2 - y_1) / (x_2 - x_1) = m

The underscores show which ordered pair, so _2 means the values from the second one.

m stands for slope.

6 0
2 years ago
Read 2 more answers
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