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Sladkaya [172]
3 years ago
5

Write a linear factorization of the function. (5 points) f(x) = x4 + 81x2

Mathematics
1 answer:
amid [387]3 years ago
8 0
F(x) = x^4 + 81x^2
f(x) = x^2*x^2 + x^2*81
f(x) = x^2*(x^2 + 81) ... see note 1
f(x) = x^2*(x + 9i)(x - 9i) ... see note 2

note 1: if you haven't learned about complex or imaginary numbers yet, then you would stop at the line with "note 1" on it

note 2: you would stop here if you have learned about complex or imaginary numbers and you want to factor over the complex numbers. I used the rule that
a^2 + b^2 = (a+bi)*(a-bi)
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Which graph represents this system 2x-5y=-5 y=2/5x+1
olga_2 [115]

Answer: option D

The last option

Step-by-step explanation:

Which graph represents this system 2x-5y=-5

y=2x/5+1

Comparing the equation with the slope intercept equation, y= mx + c,

The slope,m = 2/5

From the graph, slope = (change in value of y)/ (change in value of x)

= (y2 - y1) / (x2-x1)

y2 = 1

y1 = 0

x2 = 0

x1 = 2.5

Slope, m =( 1-0)/(0 - - 2.5) = 1/(0+2.5)

= 1/2.5

Multiply numerator and denominator by 2

m= (1×2)/(2.5×2)

= 2/5

This corresponds to the slope of the equation given at the beginning.

3 0
4 years ago
Read 2 more answers
Negate: "In every good book there is a plot twist or surprise ending."
uysha [10]

Answer:

"There exists a good book that does not have a plot twist and does not have a surprise ending".

Step-by-step explanation:

We negate the universal quantifier "for all" or equivalently "In every" using the existential quantifier "There exists". So, we negate "In every good book" as "There exists a good book". In the other hand, we have the propositions

P: there is a plot twist

Q: there is a surprise ending,

and the conjunction

P ∨ Q. We negate this conjunction using the De Morgan's Laws as

¬(P∨Q) = ¬P∧¬Q

i.e., does not have a plot twist and does not have a surprise ending. Therefore, we negate "In every good book there is a plot twist or surprise ending" as "There exists a good book that does not have a plot twist and does not have a surprise ending".

7 0
3 years ago
2.
OLga [1]

Answer:

72 adults

22 children

Step-by-step explanation:

Let c = no. of children

     a = no. of adults

Then 4c = total sales for the children and

         7a = total sales for the adults

So,   a + c = 94      and 7a + 4c = 592  

                                   <u> -4a - 4c = -376</u>

                                      3a = 216

                                        a = 72 adults

        72 + c = 94

                c = 22 children

4 0
3 years ago
What is the inverse of the function f(x) = one-ninthx + 2?
rusak2 [61]

Answer:

c

Step-by-step explanation:

we know that f(x) = 1/9x +2,

so h(1/9x + 2) = x

6 0
3 years ago
Alex restaurant bill is $58 and he wants to leave a 20% tip which expression of the total armor that Alex needs to
Liono4ka [1.6K]
The total amount he should pay is $69.6

20% of 58 is 11.6

11.6+58=69.6
4 0
3 years ago
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