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3 years ago

Write the equation g(x) of the transformation of the parent graph f(x) = |x| translated right 5 units.

Mathematics

2 answers:

Archy [21]3 years ago

7 0

Answer:

g(x) = |x-5|

Step-by-step explanation:

f(x) = |x|

y = f(x + C) C < 0 moves it right

g(x) = |x-5| moves it to the right 5 units

lina2011 [118]3 years ago

3 0

We start off with: f(x) = |x|

c < 0 means move right

y = f(x + c)

Move 5 units to the right

After: g(x) = |x - 5|

Best of Luck!

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If y varies directly with x when y=1/3 and x = 12, find x if y is 4.

Nikitich [7]

Answer:

x = 144

Step-by-step explanation:

y α x

we introduce a constant 'k' when changing from α to =.

i.e y = kx

y = ⅓ when x = 12

Meaning, ⅓ = k * 12

⅓ = 12k

k = ⅓ ÷ 12

k = 1/36

If y = 4, x = ?

using the equation y = kx

4 = (1/36)x

x = 4 ÷ (1/36)

x = 4 * 36

x = 144

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3 years ago

The Chinese Buffet costs $9.95 a person. Johnny, his mother, and his father have dinner there, They receive a 25% discount. What

zysi [14]

Answer:

$22.39

Step-by-step explanation:

Cost of all meals = $9.95 * 3 = $29.85

Amount of discount = 25/100 * $29.85 = $7.46

Bill = $29.85 - $7.46 = $22.39

hope it helps :)

6 0

3 years ago

Help plz. It’s number 6. Thanks

julsineya [31]

A = 1/2 h (a+b)
A / 1/2 h = a + b
A / 1/2 h - b = a

a = A / 1/2 h - b

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7 0

3 years ago

The equation C = 5 9 F − 160 9 gives the relation between temperature readings in Celsius and Fahrenheit.

Pavel [41]

Step-by-step explanation:

The question is wrong. The correct equation is :

$C=\frac{5}{9}F-\frac{160}{9}$

We know that the equation gives the relation between temperature readings in Celsius and Fahrenheit.

Therefore, giving that we know the value in Fahrenheit ''F'' we can find the reading in Celsius ''C''. This define a function C(F) that depends of the variable ''F''.

So for the incise (a) we answer Yes, C is a function of F.

For (b) we need to find the mathematical domain of this function. Giving that we haven't got any mathematical restriction, the mathematical domain of the function are all real numbers.

Dom (C) = ( - ∞ , + ∞)

For (c) we know that the water in liquid state and at normal atmospheric pressure exists between 0 and 100 Celsius.

Therefore the range will be

Rang (C) = (0,100)

Now, we need to find the domain for this range. We do this by equaliting and finding the value for the variable ''F'' :

For C = 0 :

$0=\frac{5}{9}F-\frac{160}{9}$ ⇒ $F=32$