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OverLord2011 [107]
3 years ago
10

the functions f and g are defined as follows f(x)=-5x+2 g(x)=3x^2-3x find f(g) and g(-2) simplify your answer as much as possibl

e
Mathematics
1 answer:
daser333 [38]3 years ago
8 0

Answer:

f(g) = -15x^2 + 15x + 2.

g(-2) = 18.

Step-by-step explanation:

f(g) = -5(3x^2 - 3x) + 2

= -15x^2 + 15x + 2.

g(-2) = 3(-2)^2 - 3(-2)

= 12 + 6

= 18.

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What is the factored form of 343 + X6?
yan [13]

Answer:

Step-by-step explanation: 1.1      Factoring:  343-x6

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  343  is not a square !!

Ruling : Binomial can not be factored as the

difference of two perfect squares

Polynomial Roots Calculator :

1.2    Find roots (zeroes) of :       F(x) = -x6+343

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  343  and the Trailing Constant is  -1.

The factor(s) are:

of the Leading Coefficient :  1,7 ,49 ,343

of the Trailing Constant :  1

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        342.00    

     -1       7        -0.14        343.00    

     -1       49        -0.02        343.00    

     -1       343        -0.00        343.00    

     1       1        1.00        342.00    

     1       7        0.14        343.00    

     1       49        0.02        343.00    

     1       343        0.00        343.00    

Polynomial Roots Calculator found no rational roots

Final result :

 343 - x6

5 0
3 years ago
Read 2 more answers
Work out an equation of the straight line with gradient 3 that passes through the point with coordinates (2, 4).
Gnom [1K]

Answer:

The answer is

\huge \boxed{y = 3x - 10}

Step-by-step explanation:

To find an equation of a line given the slope and a point we use the formula

y -  y_1 = m(x -  x_1)

where

m is the slope

( x1 , y1) is the point

From the question the point is (2, 4) and the slope is 3

The equation of the line is

y - 4 = 3(x - 2) \\ y + 4 = 3x - 6 \\ y = 3x - 6 - 4

We have the final answer as

y = 3x - 10

Hope this helps you

3 0
3 years ago
The Law of Demand is one of the most famous laws in economics. It states that when the price of a good rises, the amount demande
skelet666 [1.2K]
Falls, rises

if it is the ONLY cable provider, then it is a monopoly
3 0
3 years ago
Mr. Lombardo took his two children to a water park. He used the coupon shown below to buy one adult ticket. The price of admissi
KatRina [158]

Answer:

A. The price would be 24 because 28-4 dollars is 24

B. How much a cost altogether and the fact that he has two kids

C. You can take the total of the price of all their tickets combined to subtract 24 and you would get 52 so so I slice and a half in and you have the answer

D 26 dollars each

E. 76-24=52 52/2=26

Step-by-step explanation:

7 0
3 years ago
For some particular website, the password must start with one of the letters W, X, Y, or Z. Then there must be 5 more charaters,
k0ka [10]

241,864,704  many different passwords are possible.

The total characters of the password is six in which it is given that first character should start with W, X, Y or Z. So the first character can be filled in 4 ways.

For next five characters it can be any letter of the alphabet or any numeric digit so it will be 26 + 10 = 36.

So second, third, fourth, fifth and sixth space can be taken by 36 characters.

Therefore the total no. of passwords will be 4 * 36 * 36 * 36 * 36 * 36 that is equal to 241,864,704.

To solve more questions like this

brainly.com/question/14767366

#SPJ1

3 0
1 year ago
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