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grigory [225]
3 years ago
8

Six times the square of a number x plus 11 times the number equals 2. What are possible values of x?

Mathematics
1 answer:
Bas_tet [7]3 years ago
7 0

Answer:

-2, 1/6

Step-by-step explanation:

6x²+11x=2

6x²+11x-2=0

Delta=11²-4×6×(-2)=121+48=169

x1,2=(-11 +- sqrt(169))/(2×6)=

(-11 +- 13)/12

x1=(-11+13)/12=2/12=1/6

x2=(-11-13)/12=-24/12=-2

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If a,b,c,d, and e are non negative such that x^6-289x^4-x^2+289=(x-a)(x+b)(x_c)(x+d)(x^2+ex+1), what is the value of a+b+c+d+e?
Irina18 [472]

Answer:

36

Step-by-step explanation:

Hello,

If X=x^2 it becomes

X^3-289X^2-X+289=(X^2-1)(X-289)

and 289=17^2

X^2-1=(X-1)(X+1)=(x^2-1)(x^2+1)=(x+1)(x-1)(x^2+1) \\\\x^2-289=x^2-17^2=(x-17)(x+17)

So,

x^6-289x^4-x^2+289=(x^2-1)(x^2+1)(x^2-289)=(x-1)(x+1)(x+17)(x-17)(x^2+1)

a = 1

b = 1

c = 17

d = 17

e = 0

Then a + b + c + d + e = 36

Thanks

3 0
2 years ago
Sarah wrote the expression 12 ÷ 3 = 4 to represent the number of flowers in each row of Mrs. White’s garden. What is the number
yuradex [85]
It's called the "dividend". A dividend is a number to be divided by another number. The 3 is the divisor, a number by which another number is to be divided.
7 0
2 years ago
A hypothetical population consists of eight individuals ages 13, 14, 17, 20, 21, 22, 24, & 30 years.
Alika [10]

Complete Question

A hypothetical population consists of eight individuals ages 13 14 17 20 21 22 24 30 years.  

A: what is the probability that a person in this population is a teenager?  

B: what is the probability of selecting a participant who is at least 20 years old?

We have that  probability that a person in this population is a teenager and probability of selecting a participant who is at least 20 years old is

From the question we are told

A hypothetical population consists of eight individuals ages 13, 14, 17, 20, 21, 22, 24, & 30 years.

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a)

Generally the equation for the  probability that a person in this population is a teenager   is mathematically given as

P(T)=\frac{no of teens}{n}\\\\P(T)=\frac{3}{8}

P(T)=0.38

b)

Generally the equation for the probability of selecting a participant who is at least 20 years old  is mathematically given as

P(T)=\frac{ participants\ who\ is\ at\ least\ 20\ years old}{n}\\\\P(T)=\frac{5}{8}

P(T')=0.63

For more information on this visit

brainly.com/question/11234923?referrer=searchResults

6 0
2 years ago
A tree farmer Planet 3 types of trees on 22 acres of land .he planted 48 trees per acre.what was the total number of trees the f
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Answer:

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Step-by-step explanation:

It is given that,

A tree farmer Planet 3 types of trees on 22 acres of land  and,

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<u>To find total number of plants</u>

There are 22 acres of land.

In one acre he planted 48 trees.

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Given the slope m=4 what is the perpendicular slope
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8 0
3 years ago
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