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3 years ago

The table above shows some values of the functions f

Mathematics

1 answer:

Margarita [4]3 years ago

5 0

Answer:

Step-by-step explanation:

g(1)=5

f(g(1))=f(5)

f(5)=2

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Determine the best method to solve the system of equations. Then solve the system.

maxonik [38]

Answer:

x=1 y = -1/2

(1,-1/2)

Step-by-step explanation:

7x-2y=8

5x+2y=4

I would use elimination since we have 2y in one equation and -2y in the other

7x-2y=8

5x+2y=4

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

12x = 12

Divide each side by 12

12x/12 = 12/12

x =1

The substitute back into equation 2

5(1) +2y = 4

5 +2y = 4

Subtract 5

5-5+2y = 4-5

2y = -1

Divide by 2

2y/2 = -1/2

y = -1/2

8 0

3 years ago

Read 2 more answers

HOW DO YOU FIND THIS AGAIN PLS HELP!

strojnjashka [21]

<h2>28 units²</h2><h2>____________________</h2>

<u>Step-by-step explanation:</u>

length = 8 units

breadth = 3.5 units

area = length × breadth

= 8 × 3.5

= 28 units²

<h2>____________________</h2><h2>FOLLOW ME</h2>

5 0

3 years ago

Read 2 more answers

An urn contains 5 white and 10 black balls. A fair die is rolled and that number of balls is randomly chosen from the urn. What

galina1969 [7]

Answer:

Part A:

The probability that all of the balls selected are white:

$P(A)=\frac{1}{6}(\frac{1}{3}+\frac{2}{21}+\frac{2}{91}+\frac{1}{273}+\frac{1}{3003}+0)\\ P(A)=\frac{5}{66}=0.075757576$

Part B:

The conditional probability that the die landed on 3 if all the balls selected are white:

$P(D_3|A)=\frac{\frac{2}{91}*\frac{1}{6}}{\frac{5}{66} } \\P(D_3|A)=\frac{22}{455}=0.0483516$

Step-by-step explanation:

A is the event all balls are white.

D_i is the dice outcome.

Sine the die is fair:

$P(D_i)=\frac{1}{6}$ for i∈{1,2,3,4,5,6}

In case of 10 black and 5 white balls:

$P(A|D_1)=\frac{5_{C}_1}{15_{C}_1} =\frac{5}{15}=\frac{1}{3}$

$P(A|D_2)=\frac{5_{C}_2}{15_{C}_2} =\frac{10}{105}=\frac{2}{21}$

$P(A|D_3)=\frac{5_{C}_3}{15_{C}_3} =\frac{10}{455}=\frac{2}{91}$

$P(A|D_4)=\frac{5_{C}_4}{15_{C}_4} =\frac{5}{1365}=\frac{1}{273}$

$P(A|D_5)=\frac{5_{C}_5}{15_{C}_5} =\frac{1}{3003}=\frac{1}{3003}$

$P(A|D_6)=\frac{5_{C}_6}{15_{C}_6} =0$

Part A:

The probability that all of the balls selected are white:

$P(A)=\sum^6_{i=1} P(A|D_i)P(D_i)$

$P(A)=\frac{1}{6}(\frac{1}{3}+\frac{2}{21}+\frac{2}{91}+\frac{1}{273}+\frac{1}{3003}+0)\\ P(A)=\frac{5}{66}=0.075757576$

Part B:

The conditional probability that the die landed on 3 if all the balls selected are white:

We have to find $P(D_3|A)$

The data required is calculated above:

$P(D_3|A)=\frac{P(A|D_3)P(D_3)}{P(A)}\\ P(D_3|A)=\frac{\frac{2}{91}*\frac{1}{6}}{\frac{5}{66} } \\P(D_3|A)=\frac{22}{455}=0.0483516$

7 0

3 years ago

If a new car is valued at $26,000 and 10 years later it is valued at $7000, then what is the average rate of change

frez [133]

Answer:

The change in value is 19,000 altogether and 1900/year

Step-by-step explanation:

Change in value:

initial value - final value

= $26,000 - $7000

= $19,000

Change in value/year:

change in value/time

= $19,000/10

= $1900/year

7 0

2 years ago

Describe in words the similarities and differences in multiplying and dividing complex numbers.

iragen [17]

Answer:

t does not matter if the two numbers are the same for multiplication or division. 4. ( ÷ ) To divide two fractions, take the second fraction, and flip it so that the top number is now on the bottom and vice versa, then multiply the two fractions together like you would for number 3.

Step-by-step explanation:

7 0

3 years ago