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kenny6666 [7]
3 years ago
11

Given that f(x) = −x 4 and g(x) = −2x − 3, solve for f(g(x)) when x = 2. −14 −7 7 11

Mathematics
1 answer:
Rudiy273 years ago
7 0
F(x) = -x + 4
g(x) = -2x - 3

f(g(x)) = -(-2x - 3) + 4 = 2x + 3 + 4 = 2x + 7
f(g(2)) = 2(2) + 7 = 4 + 7 = 11
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Olivia flips a two-sided counter and then spins a spinner with six equal-size sections labeled 1 through 6. One side of the coun
Novay_Z [31]

Answer:

12

Step-by-step explanation:

A 2 - sided counter ; (red, yellow)

A spinner (1,2,3,4,5,6)

Number of trials = 80

P(red and number > 3) :

P(red) = 1/2 ;

P(number >3) : numbers greater Than 3 = (4, 5, 6)

Hence, P(number <3) = 3 /6 = 1/2

Theoretical probability = 1/2 *1/2 = 1/4

Expected number of outcomes :

1/4 * number of trials

1/4 * 80 = 20

Experimental outcome :

Relative frequency = number of outcomes / number of trials

Relative frequency = 2/5

Hence,

2/5 = number of outcomes / 80

Cross multiply :

160 = number of outcomes * 5

Number of outcomes = 160 /5 = 32

Actual outcomes = 32

Difference between actual and expected :

32 - 20 = 12

7 0
3 years ago
Which of the following is an inequality sentence?
ziro4ka [17]

Answer:

C. x

Step-by-step explanation:

  • Option A [x+5=20]tells us that: When we add 5 to a variable x, we get 20. As it has a unique value for x and is completely equal to it(i.e. 15), It is an equality.
  • Option B[x=5] tells us that: A variable x equals to 5. Hence, as x is unique for 5 and is wholly equal to it, it's an equality too.
  • Option C[x tells us that: A variable x isn't 5 but lesser than it. As we cannot equate it to 5, nor we are given the nature of the variable x, it is an Inequality.
  • Option D[x+5] is an expression; It can't be called an equation or an inequality unless we relate it with another expression.

3 0
3 years ago
Read 2 more answers
A bag of colored candles contains 18 red candles and 27 blue candles. What percent of the candles are red?
Bond [772]
A whole bag of colored candles has 45 candles in it.
If 18 are red, then 27 are blue.
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Red: 18/45 = 2/5  = 0.4 = 40%

* If you need anymore help or have any questions, feel free to ask me! I'd be happy to help you!

6 0
3 years ago
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Whats 2 + 6? If the 2 is really a 7?
goldenfox [79]

Answer:

13

Step-by-step explanation:

7 + 6 = 13

6 0
3 years ago
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Find the distance between (0, -5) &amp; (18, -10). Select one:
julia-pushkina [17]
D = sqrt((0-18)^2 + (-5--10)^2)
D= sqrt ((-18)^2 + (5)^2)
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D= sqrt ( 349)
D = 18.7
6 0
3 years ago
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