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mixer [17]
4 years ago
13

Let f(x) = x ^ 2 and g(x) = x - 3 . Evaluate (g?f)(0).

Mathematics
1 answer:
nignag [31]4 years ago
5 0

Answer:

g(f(0))=-3

Step-by-step explanation:

we have

f(x)=x^{2}

g(x)=x-3

we know that

(g o f)(x)=g(f(x))

substitute the variable x in the function g(x) by the function f(x)

so

g(f(x))=x^{2}-3

Evaluate g(f(0))

For x=0

g(f(0))=0^{2}-3

g(f(0))=-3

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Which phrases can be used to represent the inequality 6.5 x + 1.5 less-than-or-equal-to 21? Select two options. The product of 6
Montano1993 [528]

Answer:

The option with “at most” and “no more than”

Step-by-step explanation:

These two phrases mean “greater than or equal to”

5 0
3 years ago
Write 337,060 in expanded form using exponents
Agata [3.3K]

1. expand using place value.

337,060 = 300,000 + 30,000 + 7,000 + 000 + 60 + 0


Next, we will use exponents:

300,000 = 3 * 10^5

30,000 = 3 * 10^4

7,000 = 7 * 10^3

000 = 0 * 10^2

60 = 6 * 10

0 = 0 * 10^0


then after combing these exponents, we can write the number as:

337,060 = 3 * 10^5 + 3 * 10^4 + 7 * 10^3 + 0 * 10^2 + 6 * 10 + 0 * 10^0


Finally, removing the meaningless zeroes, we would end up with:

337,060 = 3 * 10^5 + 3 * 10^4 + 7 * 10^3 + 6 * 10


3 0
3 years ago
2 3/4 x 8 = blank/4 x 8/1
Alex

Answer: 11

Step-by-step explanation:

2 3/4 × 8 = p/4 × 8/1

Let p be the missing number

Convert the mixed fraction 2 3/4 to proper fraction, multiply 4 x 2, then add 3= 11/4

11/4 × 8 = p/4 ×8

p= 11

I hope this helps.

5 0
3 years ago
Read 2 more answers
Find each percent decrease. Round to the nearest percent.
Vsevolod [243]

Answer:

67%

Step-by-step explanation:

First of all, we must find the decrease;

39 - 13

=26

Then we can find the percentage decrease

26/13 ×100 =66.666..which can be written as 67.

5 0
3 years ago
(a) Let {A1, A2} be a partition of a sample space and let B be any event. State and prove the Law of Total Probability as it app
Nataliya [291]

Answer:

0.625

Step-by-step explanation:

Given that {A1, A2} be a partition of a sample space and let B be any event. State and prove the Law of Total Probability as it applies to the partition {A1, A2} and the event B.

Since A1 and A2 are mutually exclusive and exhaustive, we can say

b) P(B) = P(A1B)+P(A2B)

Selecting any one coin is having probability 0.50. and A1, A2 are events that the coins show heads.P(B/A1) = 0.50 \\P(B/A2) = 0.75\\P(A1B) = 0.5(0.5) = 0.25 \\P(A2B) = 0.75(0.5) = 0.375\\P(B) = 0.625

c) Using Bayes theorem

conditional probability that it wasthe biased coin

=\frac{0.375}{0.625} \\=\frac{3}{5}

d) Given that the chosen coin flips tails,the conditional probability that it was the biased coin=\frac{0.25*0.5}{0.25*0.5+0.5*0.5} \\=\frac{1}{3}

7 0
3 years ago
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