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Bas_tet [7]
3 years ago
14

Three functions are given below: f(x), g(x), and h(x). Determine the axis of symmetry for each function. Show all calculations. 

Mathematics
1 answer:
Basile [38]3 years ago
7 0

f(x) = -2(x − 4^)2+ 2

The vertex is (4,2)

so the axis of symmetry is  is x=4

g(x) = 5x^2− 10x + 7

       h= -b/2a = 10/2(5) = 10/10 =1

The axis of symmetry is at x=1


h(x)  the axis of symmetry is at x=-2

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Answer:

(3,-2)

Step-by-step explanation:

Given equations of line

3x-2y=13

2y+x+1=0​

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Point of intersection will coordinates where both equation have same value of (x,y)

top get that we have to solve the both equations by using method of substitution of simultaneous equation.

using this value of x in 3x-2y=13, we have

3(-1-2y) -2y = 13

=> -3 -6y-2y = 13

=> -8y = 13+3 = 16

=> y = 16/-8 = -2

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A section in a stained glass window is shaped like a trapezoid. The top base is 2 centimeters and the bottom base is 4.5 centime
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Answer:

2.8 cm

Step-by-step explanation:

The area of a trapezoid is calculated using the formula:

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b is the length of the minor base

h is the height of the trapezoid

In this problem, the glass window has the shape of a trapezoid. We know that:

B = 2 cm is the length of the top base

b = 4.5 cm is the length of the bottom base

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A person filing her federal income tax return with the Single filing status had a taxable income of $79,950. According to the ta
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Answer:

The income that she will have left over after paying his

federal income tax = $63,775.

Step-by-step explanation:

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  • So, the taxable income will be in the range from $33,950 to $82,250.
  • It means, there will be $4675 fixed tax and additional 25% tax on the amount over $33,950.

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The amount over $33,950 = $79,950 - $33,950 = $46,000

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The additional tax = 46000 × 0.25 = $11,500     ∵25% = 0.25

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Keywords: income, income tax

Learn income tax from brainly.com/question/11446109

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