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iren2701 [21]
4 years ago
15

F(x)=3x^7, as x ---> - infinity the F(x) approaches what

Mathematics
1 answer:
Lyrx [107]4 years ago
4 0

Answer:

negative infinity

Step-by-step explanation:

f(x) = 3 x^7

As x approaches - infinity we do not care about the 3 since it is positive

f(-inf) = (- inf)^7

We can take the negative out since it is to a negative power

f(-inf) = - (inf)^7

inf raised to a power is still infinity

F(-inf) = - inf

It will approach negative infinity

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1,2,3,4,6,12

Step-by-step explanation:

12•1= 12

2•6= 12

3•4= 12

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the area of a desktop is represented by x^2 - 49. find the dimensions of the desktop in terms of x. show work please.​
Levart [38]

Answer:

The dimensions of the desktop are (x+7) units by (x-7) units

Step-by-step explanation:

we know that

The difference of squares is equal to

a^2-b^2=(a+b)(a-b)

we have

x^2-49

Remember that

49=7^2

substitute

x^2-7^2

Applying difference of squares

x^2-7^2=(x+7)(x-7)

therefore

The dimensions of the desktop are (x+7) units by (x-7) units

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Solve the following system of equations using matrices​ (row operations).
Stells [14]

Answer:

(6,3,0)

Step-by-step explanation:

Given,

x -  y + 0z  =  3

6x -  0y - 2z = 36

0x + 6y + 2z = 18

You have the following augmented matrix:

(1) 1     -1     0      3

(2) 6    0   -2      36

(3) 0    6    2       18

Let's (3) add to (2) and divide by 6

(1)  1    -1    0       3

(2) 1     1    0       9

(3) 0    6   2       18

Now, let's (2) add  to (1) and divide by 2

(1)  1   0    0     6

(2) 1    1    0     9

(3) 0   6   2     18

Let's (3) ÷ 2

(1)  1    0   0     6

(2) 1    1   0      9

(3) 0   3   1      9  

Let's (1) subtract from (2)

(1)  1   0   0     6

(2) 0   1   0     3

(3) 0   3   1     9

Finally, let's (2) multiply by 3 and subtract from (3)

(1)  1   0   0     6

(2) 0   1   0     3

(3) 0   0   1     0

Thus,

x = 6, y = 3 and z = 0

The answer is (6, 3, 0)

We have to verify the answer

6 - 3 = 3  ⇒⇒ 3 = 3

6*6 - 5*0 = 36   ⇒⇒ 36 = 36

6*3 + 2*0 = 18    ⇒⇒ 18 = 18  

6 0
3 years ago
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