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ycow [4]
1 year ago
7

Christian is rewriting an expression of the form y = ax2 + bx + c in the form y = a(x – h)2 + k. Which of the following must be

true?
Mathematics
2 answers:
Shkiper50 [21]1 year ago
7 0

Answer:

The Value Remains the Same

Step-by-step explanation:

Trust

slavikrds [6]1 year ago
6 0

Answer:

the value of a remains the same

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WXYZ is a trapezoid with WX ≅ YZ. Isosceles trapezoid W X Y Z is shown. Sides X Y and W Z are parallel. The length of X Y is 3 a
mash [69]

Answer: 5 units

Step-by-step explanation:

8 0
2 years ago
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If the point (4,-1) is a point on the graph of f then f
AlekseyPX

If the point (4,-1) is a point on the graph of y = f(x). The corresponding point on the graph of y = g(x) is: (4,-1/2), (2,-1), (-1,-1), (1,4), (4,-4), (-12,1)

  1. g(x) = \frac{1}{2} f(x) => (4,-1/2)
  2. g(x) = f(x-2) => (2,-1)
  3. g(x) = f(-x) => (-1,-1)
  4. g(x) = f(4x) => (1,4)
  5. g(x) = 4f(x) => (4,-4)
  6. g(x) = -f(x) => (-12,1)
<h3>Further explanation </h3>
  1. Dividing the function by 2 divides all the y-values by 2 as well. So to get the new point, we will take the y-value (-1) and divide it by 2 to get 2.  Therefore, the new point is  (4,-1/2)
  2. Subtracting 2 from the input of the function makes all of the x-values increase by 2 (in order to compensate for the subtraction). We will need to add 2 to the x-value (4) to get 2.  Therefore, the new point is (2,-1)
  3. Making the input of the function negative will multiply every x-value by  1.  To get the new point, we will take the x-value (4) and multiply it by -1  to get. Therefore, the new point is (-1,-1)
  4. Multiplying the input of the function by 4 makes all of the x-values be divided by 4 (in order to compensate for the multiplication). We will need to divide the x-value (4) by 4 to get 1.  Therefore, the new point is  (1,4)
  5. Multiplying the whole function by  4 increases all y-values by a factor of 4 , so the new y-value will be 4  times the original value (4) or -4.  Therefore, the new point is  (4,-4)
  6. Multiplying the whole function by -1 also multiplies every y-value by -1,  so the new y-value will be  -1 times the original value (-1). or 1. Therefore, the new point is (-12,1)

<h3>Learn more</h3>
  1. Learn more about corresponding point  brainly.com/question/10218370
  2. Learn more about point on the graph brainly.com/question/11297347
  3. Learn more about the graph brainly.com/question/11534295

<h3>Answer details</h3>

Grade:  9

Subject:  mathematics

Chapter:  corresponding point

Keywords:   corresponding point, the graph, point on the graph

3 0
2 years ago
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Tony’s class needs more than $500 for the school dance. So far, they have raised $200. They plan to have a car wash, charging $8
Kitty [74]

Answer:

No, Tony is not correct. Solving the inequality tells us that x is greater than or equal to 37.5. Since the class must wash a whole number of cars, they need to wash at least 38 cars.

this will help

8 0
1 year ago
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A rectangle that is x feet wide is inscribed in a circle of radius 25 feet. Express the area of the rectangle as a function of x
Viefleur [7K]

Answer:

A(x)=x(\sqrt{2500-x^{2} } ) is the area expressed as function of x,

and x: >0, <50 is the domain of the function.

Step-by-step explanation:

Draw an appropriate figure and then express the area of the rectangle as a function of x.

We know that the diagonal of a rectangle inscribed in a circle, will be equal to the diameter of the circle. 50 feet

let w = the width of the rectangle

therefore

x^2 + w^2 = 50^2\\w^2 = 2500 - x^2\\w = \sqrt{2500-x^{2} }

recall

Area = x*w

replace w

A(x)=x(\sqrt{2500-x^{2} } ) is the area expressed as function of x

b)state the domain of the function

x: >0, <50

7 0
2 years ago
The functions f(x) and g(x) are described using the following equation and table: f(x) = −2(1.07)x x g(x) −4 −10 −2 −7 0 −4 2 1
Natali [406]

Answer:

The y-intercept of f(x) is equal to 2 times the y-intercept of g(x).

Step-by-step explanation:

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2 years ago
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