What are the factors of the quadratic function graphed below. Please show work , please help

Mathematics

1 answer:

dlinn [17]3 years ago

5 0

Answer:

x and (x - 6)

Step-by-step explanation:

y = a(x - h)² + k

h = 3 k = -2

y = a (x - 3)² -2

For point (0 , 0) on the function

0 = a (0 - 3)² -2

0 = 9a - 2

a = 2/9

a (x - 3)² -2 = 2/9 (x² - 6x + 9) - 2 = 2/9 * x * (x - 6) + 2 - 2 = 2/9 * x * (x-6)

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if the cost price of 10 tables is equal to the selling price of 16 tables , find out the gain or loss percentage

Dovator [93]

Hi,

To solve this problem, Let us take the LCM of 10 and 16 which will come 80.

Now suppose the cost price of 10 tables =₹n CP of 80 tables will be ₹ 8n

According to the question, CP of 10 tables is equal to the SP of 16 tables, then

the SP of 16 tables will also be ₹ n.

So, SP of 80 tables will be ₹ 5n

So, Loss = CP-SP

→ 8n - 5n = ₹ 3n

Loss%= (3n×100)/8n

Loss%= 37.5%.

Hence the correct answer will be a <u>loss of 37.5%.</u>

4 0

3 years ago

The dashed triangle is the image of the solid triangle. The center of dilation is (−5, 7) .

adell [148]

Before dilation:
the height of the triangle is h₁ = 7 - (-1) = 8
the width of the triangle is w₁ = 7 - (-5) = 12

After dilation:
the height of the is h₂ = 9-7 = 2
the width of the triangle is w₂ = -5 - (-8) = 3

The scale factor is h₂/h₁ = 2/8 = 1/4 = 0.25
Also, the scale factor is w₂/w₁ = 3/12 = 1/4 = 0.25

Answer: The scale factor is 0.25