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4 years ago

8

For the given decision algorithm, find how many outcomes are possible. HINT [See Example 1.] Alternative 1: Alternative 2: Step

1: 1 outcome Step 1: 4 outcomes Step 2: 5 outcomes Step 2: 4 outcomes Step 3: 1 outcome

1 answer:

IRISSAK [1]4 years ago

3 0

Answer:72 total outcomes

explanation:

See attached file

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Robin is twice as old as Earl, and in 6 years he will be three times as old as Adam, who is 8 years younger than Earl. Find thei

valkas [14]

Answer:

Since, Robin is twice as old as Earl,

Thus, the ratio of the age of robin and earl = 2 : 3

Let the age of robin = 2x and the age of earl = 3x

Where x is any number,

According to the question,

3×Age of Adam = 2x + 6

Age of Adam = 1/3(2x+6)

Also, Age of Adam = Age of earl - 8

⇒ 1/3(2x+6) = 3x - 8

⇒ 2x + 6 = 9x - 24

⇒ -7x = - 30

⇒ x = 30/7

Hence, the age of Robin = 2x = 2×30/7 = 60/7 years

The age of Earl = 3x = 3×30/7=90/7 years

The age of Adam = 34/7 years

7 0

3 years ago

2) simplify the expression completely assume (x > 0)

Sati [7]

Answer:

D

Step-by-step explanation:

the 2 square root terms can be combined under one large square root.

and the general multiplication factor of 2 remains on the outside.

2×sqrt(24x³ / 3x) = 2×sqrt(8x²) = 2×sqrt(4×2x²) =

2×2×sqrt(2x²) = 2×2×x×sqrt(2) = 4x sqrt(2)

6 0

3 years ago

I need help and it due tomorrow!!! ill give aomethe brainlest answer

DochEvi [55]

Answer:

The measure of the indicated angle is 142°

Step-by-step explanation:

The sum of the measures of the interior angles of a polygon is

∑m = (n - 2) × 180°, where

n is the number of its side or its angles

In the given figure

∵ The polygon has 6 angles

∴ n = 6

→ Use the rule above to find the sum of the measures of its interior ∠s

∵ ∑m = (6 -2) × 180°

∴ ∑m = 4 × 180°

∴ ∑m = 720°

∵ The measures of its interior ∠s are (2x - 50)°, (x + 40), 80°, (x + 20)°,

x°, 150°

→ Add them to find their sum

∴ ∑m = 2x - 50 + x + 40 + 80 + x + 20 + x + 150

→ Add the like terms in the right side

∴ ∑m = (2x + x + x + x) + (-50 + 40 + 80 + 20 + 150)

∴ ∑m = 5x + 240

→ Equate the right sides of ∑m

∵ 5x + 240 = 720

→ Subtract 240 from both sides

∴ 5x + 240 - 240 = 720 - 240

∴ 5x = 480

→ Divide both sides by 5

∴ x = 96

→ To find the indicated angle substitute x in its measure by 96

∵ The measure of the indicated angle = 2(96) - 50

∴ The measure of the indicated angle = 192 - 50

∴ The measure of the indicated angle = 142°

5 0

3 years ago

For the function f(x)=<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7Bx%7D%20%7D%7B5%7D%20%2B2" id="TexFormula1" title="\f

Ber [7]

Answer:

$f^{-1}(x)=25(x-2)^2$

Step-by-step explanation:

The inverse function can be found by solving ...

f(y) = x

(√y)/5 +2 = x

(√y)/5 = x -2 . . . . . subtract 2

√y = 5(x -2) . . . . . . multiply by 5

y = 25(x -2)² . . . . . square both sides

The inverse function is ...

$f^{-1}(x)=25(x-2)^2$

_____

<em>About the graph</em>

The inverse of a function is its mirror image across the line y = x.

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3 years ago

-9x = 72<br><br> PLEASE HELP GIVING 21 POINTS PLEASE

Bad White [126]

Answer:

X = -8

Step-by-step explanation:

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3 years ago

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