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Dmitry_Shevchenko [17]
2 years ago
8

The parent function f(x)=√x is transformed to g(x) = f(-x) - 2. Which graph represents g(x)?

Mathematics
1 answer:
Pavel [41]2 years ago
7 0

Using translation concepts, the graph of g(x) is given at the end of the question.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The parent function is given by:

f(x) = \sqrt{x}.

With the changes, we have that:

  • f(-x) is the function reflected over the y-axis.
  • f(-x) - 2 is the function reflected over the y-axis and shifted 2 units down.

Hence the function will be given by:

f(x) = \sqrt{-x} - 2.

The graph is given at the end of the answer.

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

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Answer

Where is the picture

Step-by-step explanation:

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4x-9y=9
Alexxandr [17]
Multiply both sides of the second equation by 4. That will give you -4x in the second equation which when added to 4x of the first equation will eliminate x.

Second equation:
-x + 3y = 6

Multiply the second equation by 4 on both sides:
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5 0
3 years ago
Kilgore's Deli is a small delicatessen located near a major university. Kilgore does a large walk-in carry-out lunch business. T
AfilCa [17]

Answer:

z (max)  =  6.15

x₁  =  1       x₂ =  3    x₃  =  6

Amount of beef leftover     2 lb

Amount of onions leftover   0

Amount of  Special Sauce leftover 61

Amount of Hot Sauce leftover   9

Step-by-step explanation:

Ingredients              Beef      Onions    Special S   Hot S      Profit  

Wimpy  (x₁)                   1              2                5              0             0.6

Dial 911 (x₂)                   1              2                2              5             0.55

Fire Bowl (x₃)                1.5           2                3              6             0.65

Available                       15            20             90             60        

Objective Function z:

z  =  0.6*x₁  +  0.55*x₂  +  0.65*x₃      to maximize

Subject to:

1) Quantity of beef : 15

x₁  +  x₂  + 1.5*x₃  ≤  15

2) Quantity of onions:  20

2*x₁  +  2*x₂  +  2*x₃  ≤  20

3) Quantity of Special sauce: 90

5*x₁  + 2*x₂  + 3*x₃  ≤  90

4) Quantity of hot sauce:  60

0*x₁   + 5*x₂  + 6*x₃  ≤  60

5) Condition: The number of servings for Fire Bowl must be at least 10% of the total number of servings for all three luncheon chili specials.

x₃  ≥  0.1 ( x₁  +  x₂   +  x₃ )     or    x₃    ≥   0.1*x₁  +  0.1 *x₂  + 0.1*x₃

x₃   -   0.1*x₁  -  0.1 *x₂  - 0.1*x₃   ≥  0

-   0.1*x₁  -  0.1 *x₂   +    0.9 *x₃   ≥  0

6)Condition: The number of servings for Fire Bowl, however, cannot exceed the number of Dial 911 by more than 3.

x₃  -  x₂  ≤  3

7)the available number of servings for Dial 911 must be at least 2.

x₂  ≥  2

General constraints:

x₁  ≥   0           x₃   ≥ 0    all integers

With on-line solver solution  is:

z (max)  =  6.15

x₁  =  1       x₂ =  3    x₃  =  6

By sbstitution on the constraints

1)   x₁  +  x₂  + 1.5*x₃  ≤  15               1 + 3 + 9  = 13

Amount of beef leftover     2 lb

2)  2*x₁  +  2*x₂  +  2*x₃  ≤  20          2 + 6  + 12 = 20

Amount of onions leftover   0

3) 5*x₁  + 2*x₂  + 3*x₃  ≤  90             5  + 6  + 18 = 29

Amount of  Special Sauce leftover 61

4)0*x₁   + 5*x₂  + 6*x₃  ≤  60             15  +  36  = 51

Amount of Hot Sauce leftover   9

3 0
3 years ago
What is the measure of ∠H?
jek_recluse [69]
B. 73
360-102-138-47=73
5 0
3 years ago
Read 2 more answers
How do you do this ?
salantis [7]
You would need to find the area of which the irrigation would cover:
Area of a circle=pi*r^2
=300^2*pi
=90000pi ft^2
Hope this helps
5 0
3 years ago
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