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Setler79 [48]
4 years ago
7

BRAINLIEST PLEASE HELP np If f(x)=-x^2+6x-1 and g(x)=3x^2-4x-1, find (f+g)(x)

Mathematics
1 answer:
raketka [301]4 years ago
8 0

Answer:

\large\boxed{B.\ (f+g)(x)=2x^2+2x-2}

Step-by-step explanation:

f(x)=-x^2+6x-1\\\\g(x)=3x^2-4x-1\\\\(f+g)(x)=f(x)+g(x)\\\\\text{substitute:}\\\\(f+g)(x)=(-x^2+6x-1)+(3x^2-4x-1)\\\\(f+g)(x)=-x^2+6x-1+3x^2-4x-1\qquad\text{combine like terms}\\\\(f+g)(x)=(-x^2+3x^2)+(6x-4x)+(-1-1)\\\\(f+g)(x)=2x^2+2x-2

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4 years ago
Which of the numbers below could be terms in the sequence an=4n-7 A)29 B)21 C)20 D)28
natali 33 [55]

Answer:

A)29 and B) 21,

Step-by-step explanation:

First,in the sequencea_n=4n-7 , the parameter n must to be a integer.

Second, we need to solve the equations by  n.

n=(a_n+7)/4

All the option in the problem represent an a_n

Then, we need to prove all number in the options, if the result is a integer number, this option can be part of the sequence.

For A)

n=(29+7)/4=9\\

For B)

n=(21+7)/4=7\\

For C)

n=(20+7)/4=6.75\\

For D)

n=(28+7)/4=8.75\\

Only A) and B)  only A and B meet the requirement

4 0
3 years ago
Determine if each function is linear or nonlinear.
olga nikolaevna [1]

Answer:

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Step-by-step explanation:


6 0
3 years ago
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Solve each equation you must use
n200080 [17]

1) The solution for m² - 5m - 14 = 0 are x=7 and x=-2.

2)The solution for b² - 4b + 4 = 0 is x=2.

<u>Step-by-step explanation</u>:

The general form of quadratic equation is ax²+bx+c = 0

where

  • a is the coefficient of x².
  • b is the coefficient of x.
  • c is the constant term.

<u>To find the roots :</u>

  • Sum of the roots = b
  • Product of the roots = c

1) The given quadratic equation is m² - 5m - 14 = 0.

From the above equation, it can be determined that b = -5 and c = -14

The roots are -7 and 2.

  • Sum of the roots = -7+2 = -5
  • Product of the roots = -7\times2 = -14

The solution is given by (x-7) (x+2) = 0.

Therefore, the solutions are x=7 and x= -2.

2) The given quadratic equation is b² - 4b + 4 = 0.

From the above equation, it can be determined that b = -4 and c = 4

The roots are -2 and -2.

  • Sum of the roots = -2-2 = -4
  • Product of the roots = -2\times-2 = 4

The solution is given by (x-2) (x-2) = 0.

Therefore, the solution is x=2.

5 0
3 years ago
If an angle is 16 degrees less than the measure of its complement. What’s the measure of the angle?
Margarita [4]

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Hope this helps!

6 0
4 years ago
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