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mafiozo [28]
2 years ago
8

Given the function g(x)=7-x^2, evaluate g(x+h)-g(x)/h , h=0

Mathematics
1 answer:
vlada-n [284]2 years ago
7 0
Hello here is a solution : 

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Permutations of the word "Congratulations"​
Mice21 [21]

Answer:

There are 15 letters, but if the two A's must always be together, that's the same as if they're just one letter, so our "base count" is  14! ; note that this way of counting means that we also don't need to worry about compensating for "double counting" identical permutations due to transposition of those A's, because we don't "count" both transpositions. However, that counting does "double count" equivalent permutations due to having two O's, two N's, and two T's, so we do need to compensate for that. Therefore the final answer is  14!/(23)=10,897,286,400

5 0
2 years ago
What is the product??
tangare [24]

Answer:

The answer to your question is the third choice

Step-by-step explanation:

To solve this problem, just multiply 6 by each of the numbers of the matrix and simplify.

            6   |  4  -2  1 |   =   | (6 x 4)   (6 x -2)   (6 x 1) |  

                 |  7   3   0|        | (6 x 7)   (6 x 3)    (6 x 0) |

                                    =   | 24   -12   6 |

                                         | 42    18    0 |

The first choice is wrong because only multiply by six the first row.

The second and fourth rows are incomplete.

7 0
3 years ago
Please help 30 points Asap
Andrej [43]

40 units2˛

   Looking at the figure, the rectangle has the vertexes (2,1), (3,-3), (-5,-5) and (-6,-1). The parallelogram has the vertexes (2,7), (3,3), (3,-3), and (2,1).

The area of a parallelogram is base times height. We have 2 vertical lines at x=2 and x=3, so the height is 1. And the length of the line from (3,3) to (3,-3) is 6, so the base is 6. Therefore the area of the parallelogram is 1*6 = 6.

  The rectangle is a tad trickier since it's not aligned with either the x or y axis. But we can use the Pythagorean theorem to get the lengths.

 L = sqrt((2 - -6)^2 + (1 - -1)^2)

 L = sqrt(8^2 + 2^2)

 L = sqrt(64 + 4)

 L = sqrt(68) = 2*sqrt(17)

  W = sqrt((2-3)^2 + (1- -3)^2)

 W = sqrt((-1)^2 + 4^2)

 W = sqrt(1 + 16)

 W = sqrt(17)

  And the area is length * width, so:

 2*sqrt(17)*sqrt(17) = 2 * 17 = 34

  And the total area is the sum of the areas, so

 34 + 6 = 40

  So the area of the figure is 40 square units.

7 0
3 years ago
Read 2 more answers
The hypotenuse of a 45-45-90 triangle has a length of 10 units. what is the length of one of its legs?
Blizzard [7]

the length of a leg on a 45-45-90 triangle given the hypotenuse is half the length of the hypotenuse times sqrt(2)

hypotenuse = 10

 10/2 =5

 so the answer should be 5sqrt(2), which I don't see as a choice

4 0
3 years ago
The sum of rational number and an irrational number
Angelina_Jolie [31]

Answer:

The sum of a rational number and an irrational number is irrational." By definition, an irrational number in decimal form goes on forever without repeating (a non-repeating, non-terminating decimal). By definition, a rational number in decimal form either terminates or repeats.

Step-by-step explanation:

However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational. "The product of two irrational numbers is SOMETIMES irrational." Each time they assume the sum is rational; however, upon rearranging the terms of their equation, they get a contradiction (that an irrational number is equal to a rational number). Since the assumption that the sum of a rational and irrational number is rational leads to a contradiction, the sum must be irrational.

5 0
3 years ago
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