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Mekhanik [1.2K]
3 years ago
7

Write the expression for when you translate the graph of y = | 1/2 x−2 |+3 a) one unit up, b) one unit down, c) one unit to the

left, d) one unit to the right.
Mathematics
1 answer:
alukav5142 [94]3 years ago
7 0

Answer:

  a) y = |x/2 -2| +4

  b) y = |x/2 -2| +2

  c) y = |(x+1)/2 -2| +3

  d) y = |(x-1)/2 -2| +3

Step-by-step explanation:

To translate the function f(x) by (h, k) in the (right, up) direction, you transform it to ...

  g(x) = f(x -h) +k

<u>a) one unit up</u>

Add 1 to the function value.

  y=\left|\dfrac{x}{2}-2\right|+3+1\\\\\boxed{y=\left|\dfrac{x}{2}-2\right|+4}

<u>b) one unit down</u>

Subtract 1 from the function value.

  y=\left|\dfrac{x}{2}-2\right|+3-1\\\\\boxed{y=\left|\dfrac{x}{2}-2\right|+2}

<u>c) one unit left</u>

Replace x with x-(-1).

  y=\left|\dfrac{x-(-1)}{2}-2\right|+3\\\\\boxed{y=\left|\dfrac{x+1}{2}-2\right|+3}

<u>d) one unit right</u>

Replace x with x-1.

  \boxed{y=\left|\dfrac{x-1}{2}-2\right|+3}

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The inequality becomes :

350B+525F≤4500

Explanation:

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Let the number of fennel plants be represented by = F

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Similarly, each fennel plant needs 525 ml of water so F fennel plants will need 525*F = 525F ml of water.

And both the plants need to be watered with a maximum of 4500 ml of water.

So inequality becomes: 350B+525F≤4500

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3 years ago
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Maurinko [17]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
I need help ASAP <br> Integrated math II
Molodets [167]

Answer:

\boxed{ \bold{ \sf{x = 16}}}

\boxed{ \bold{ \sf{m < AFD = 82}}}

Step-by-step explanation:

\sf{5x + 18 = 3x + 50}

( Being vertically opposite angles)

Vertically opposite angles are always equal.

Move variable to L.H.S and change it's sign

Similarly, Move constant to R.H.S and change it's sign

⇒\sf{5x  - 3x = 50 - 18}

Collect like terms

⇒\sf{2x = 50 - 18}

Subtract 18 from 50

⇒\sf{2x = 32}

Divide both sides of the equation by 2

⇒\sf{ \frac{2x}{2}  =  \frac{32}{2} }

Calculate

⇒\sf{x = 16}

The value of x is 16

Now, let's find value of m<AFD :

\sf{m < afd + 5x + 18 = 180} ( sum of angle in straight line )

plug the value of x

⇒\sf{m < AFD + 5 \times 16 + 18 = 180}

Multiply the numbers

⇒\sf{m < AFD + 80 + 18 = 180}

Add the numbers

⇒\sf{m < AFD + 98 = 180}

Move constant to R.H.S and change it's sign

⇒\sf{m < AFD = 180 - 98}

Subtract 98 from 180

⇒\sf{m < AFD = 82}

Value of m<AFD = 82

Hope I helped!

Best regards!!

3 0
3 years ago
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What is 10 1/3 + 7/9 =
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Is about 11.1111hope that helped
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