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svetlana [45]
3 years ago
6

Evaluate the function f(x)= x^2 + 2x + 8 at the given values of the independent variable and

Mathematics
1 answer:
tresset_1 [31]3 years ago
8 0
Question a:
f(6) = (6)² + 2(6) + 8

f(6) = 36 + 12 + 8

f(6) = 56

Question b:
f(x+4) = (x+4)² + 2(x+4) + 8

f(x+4) = x² + 8x + 16 + 2x + 8 + 8

f(x+4) = x² + 10x + 32

Question c:
f(-x) = (-x)² + 2(-x) + 8

f(-x) = x - 2x + 8
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Ben rolls two number cubes. What is the probability that the sum of the numbers he rolls is less than 6
kotegsom [21]
The numbered cubes might be referring the dice. We know that there are 36 ways of dice will occur.
Take the unique list of the following pair for which the sum is less than 6, and these are
(1,1) (1,2) (1,3) (1,4) (2,1) (2,2) (2,3) (3,1) (3,2) (4,1)
Therefore there are 10 possible ways we could get.
In probability, it is a ratio of the successful outcomes over the total number of possible outcomes.
P = 10/36 = 5/18
8 0
3 years ago
How much is f(10) if f=x^2-2
dangina [55]

To find this value, simply substitute the number 10 in for x in your equation:

f(x) = x^2 - 2

f(10) = 10^2 - 2 = \boxed{98}

The answer is 98.

8 0
3 years ago
Find the dicontinuities of the function.
elena-s [515]

Answer:

Step-by-step explanation:

I'm assuming you meant to type in

f(x)=\frac{x^2+12x+27}{x^2+4x+3} because you can only have removable discontinuities where there is a rational (fraction) function. Begin by factoring both the numerator and denominator to

f(x)=\frac{(x+3)(x+9)}{(x+1)(x+3)} and cancelling out like terms would have us eliminating the (x + 3). That is where there is a removable discontinuity. It leaves a hole. The other discontinuity, (x + 1) doesn't cancel out so it is a non-removable discontuinity, which is a vertical asymptote.

The removable discontinuity is at -3. There is no y value at x = -3 (remember there's only a hole here), because -3 causes the denominator to go to 0 and we all know that having a 0 in the denominator of a fraction is a big no-no!!!

5 0
3 years ago
Solve the following system by elimination:<br> 4x+3y=2<br> 5x + 4y = 3
MAXImum [283]

Answer:

5x+4y=3

- 4x+3y=2

-----------------

x+y=1

5 0
2 years ago
A statistical program is recommended.
lukranit [14]

Answer:

Which is the output of the formula =AND(12>6;6>3;3>9)?

A.

TRUE

B.

FALSE

C.

12

D.

9

Step-by-step explanation:

3 0
3 years ago
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