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AlexFokin [52]
2 years ago
12

Repost 8th grade 50 POINTS+BRAINLIEST: How do you graph a quadratic equation in vertex form when the equation is a perfect squar

e? Use x² -4x+4 as an example
Mathematics
2 answers:
san4es73 [151]2 years ago
7 0
1(x-2)^2+0 is the vertex form
Naddika [18.5K]2 years ago
3 0

Answer: Vertex : Maximum (2, 0)

Rules:

  • (x + d)² = x² + 2dx + d²    and   (x - d)² = x² - 2dx + d²
  • x² + 2dx = (x + d)² - d²   and  x² - 2dx = (x - d)² - d²

Solve:

x² - 4x + 4

x² - 2(2x) + 2²

(x - 2)²

Into vertex form: a(x - h)² + k

1(x - 2)² + 0

Identify:

vertex : (h, k) = (2, 0)

Find additional things, to graph the equation:

(i) x-intercept: (2, 0)

(ii) y-intercept: (0, 4)

Graph shown:

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A construction company purchased some equipment costing $300,000. The value of the equipment depreciates
goldfiish [28.3K]

Answer:

11.9\ years  

Step-by-step explanation:

we know that

The  formula to calculate the depreciated value  is equal to  

V=P(1-r)^{x}  

where  

V is the depreciated value  

P is the original value  

r is the rate of depreciation  in decimal  

x  is Number of Time Periods  

in this problem we have  

P=\$300,000\\r=14\%=14/100=0.14\\V=\$50,000

substitute the values and solve for x

50,000=300,000(1-0.14)^{x}  

(50,000/300,000)=(0.86)^{x}  

(5/30)=(0.86)^{x}  

Apply log both sides

log(5/30)=(x)log(0.86)  

x=log(5/30)/log(0.86)  

x=11.9\ years  

4 0
3 years ago
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PLEASE HELP ME WITH THIS QUESTION <br> 6
nata0808 [166]

Answer:

45

Step-by-step explanation:

Assuming this is a trapezoid,

\frac{29+WZ}{2}=37 \\ \\ 29+WZ=74 \\ \\ WZ=45

5 0
2 years ago
Pls answer as soon as possible what is 5.3 rounded?
Nadusha1986 [10]

Answer:

5

Step-by-step explanation:

4 0
3 years ago
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Give the coordinates of the focus and the equation of the directrix with the equation
Andrews [41]

Well from what i see this equation isn't a point at all, however it does start at (0,0)

7 0
3 years ago
1(6x - 9) = (4x - 6)
ruslelena [56]

1(6x-9)=(4x-6)  

One solution was found :

                  x = 3/2 = 1.500

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    1*(6*x-9)-((4*x-6))=0  

Step by step solution :

Step  1  :

Step  2  :

Pulling out like terms :

2.1     Pull out like factors :

  6x - 9  =   3 • (2x - 3)  

Equation at the end of step  2  :

 3 • (2x - 3) -  (4x - 6)  = 0  

Step  3  :

Equation at the end of step  3  :

 2x - 3  = 0  

Step  4  :

Solving a Single Variable Equation :

4.1      Solve  :    2x-3 = 0  

Add  3  to both sides of the equation :  

                     2x = 3

Divide both sides of the equation by 2:

                    x = 3/2 = 1.500

One solution was found :

                  x = 3/2 = 1.500

3 0
3 years ago
Read 2 more answers
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