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svetlana [45]
2 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]2 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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List the domain of the following points from least to greatest: (-2, 4) (-6,8) (3,6) (5,15) (-1, 4)
nasty-shy [4]

Answer:

Domain = {-6, -2, -1, 3, 5}

Step-by-step explanation:

The domain represents the input or x values of a given relation.

In the given set of ordered pairs: (-2, 4) (-6,8) (3,6) (5,15) (-1, 4)

Domain (input/x values) = {-6, -2, -1, 3, 5}

Range (output/y values) = {4, 6, 8, 14}

3 0
3 years ago
Step by step please and thank you.
cupoosta [38]

Answer:

  the probability is 2/9

Step-by-step explanation:

Assuming the coins are randomly selected, the probability of pulling a dime first is the number of dimes (4) divided by the total number of coins (10).

  p(dime first) = 4/10 = 2/5

Then, having drawn a dime, there are 9 coins left, of which 5 are nickels. The probability of randomly choosing a nickel is 5/9.

The joint probability of these two events occurring sequentially is the product of their probabilities:

  p(dime then nickel) = (2/5)×(5/9) = 2/9

_____

<em>Alternate solution</em>

You can go at this another way. You can list all the pairs of coins that can be drawn. There are 90 of them: 10 first coins and, for each of those, 9 coins that can be chosen second. Of these 90 possibilities, there are 4 dimes that can be chosen first, and 5 nickels that can be chosen second, for a total of 20 possible dime-nickel choices out of the 90 total possible outcomes.

  p(dime/nickel) = 20/90 = 2/9

8 0
3 years ago
the ratio of isabella money to shane money is 3:11 if isabella has 33$ how much money do shane and isabella have together use di
Liono4ka [1.6K]
Together both shane and isabella have 42$

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3 years ago
What is m ZDFC?<br><br> O45°<br> O 80°<br> O 125°<br> O 135
Law Incorporation [45]
I believe it’s 80 hope it helps
4 0
3 years ago
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A Train crosses a bridge 100 m in 45 sec at a speed of 60 km/h find a time taken by the train to cross a clock tower​
yulyashka [42]

Ans is 351/8.

hope it is helpful

8 0
2 years ago
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