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Jet001 [13]
3 years ago
9

Solve p ( p - 2 ) = 0

Mathematics
1 answer:
horsena [70]3 years ago
7 0

p ( p - 2 ) = 0

p = 0

p - 2 = 0 so p = 2

Answer

p = 0 and p = 2

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Describe the graph of y=1/2x-10 -3 comapred to the graph of y= 1/x
saw5 [17]

The parent function is:

$y=\frac{1}{x}

The transformed function is:

$y=\frac{1}{2 x-10}-3

$y=\frac{1}{2(x-5)}-3

$y=\frac{1}{2}\left(\frac{1}{x-5}\right)-3

Comparison of simplified transformed function with the parent function:

  • The function multiplying by a number indicates dilation.
  • The function is being compressed in vertical direction by a factor of 2 if the number lies between 0 and 1.
  • Subtracting a number from x indicates a horizontal shift towards right.
  • That is the parent function is transformed 5 units to right.
  • Subtracting a number from the function indicates a downward shift.
  • That is the parent function is transformed 3 units down.

Hence the graph of y=\frac{1}{2 x-10}-3 is the graph of y=\frac{1}{x} stretched vertically, shifted right by 10 unit and shifted 3 unit down.

The image of the graph is attached below.

7 0
2 years ago
The sum of four and the product of three and a number x
Ulleksa [173]
4+3x is what it sound like. I hope this helps. :)
6 0
3 years ago
Please help me with this math problem ASAP.
vazorg [7]

Answer: x = -4; x = -1; x = 3

see in this graph, at x = {-4; -1; 3} => y = 0

=> the zeros of the function are -4; -1; 3

Step-by-step explanation:

7 0
2 years ago
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Through which pairs of points is the slope negative? Select all that apply. a. (3, 6) and (10, 6)
xeze [42]
Trial and error on this one try each pair till you find negative slopes
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5 0
3 years ago
Find the sum of the equation
stealth61 [152]

Answer:

\frac{{y}^{2}+13y-6}{{(y-1)}^{2}(y+7)}

Step-by-step explanation:

1)  Rewrite {y}^{2}-2y+1y  in the form{a}^{2}-2ab+{b}^{2}, where a = y and b = 1.

\frac{y}{{y}^{2}-2(y)(1)+{1}^{2}}+\frac{6}{{y}^{2}+6y-7}

2)  Use Square of Difference: {(a-b)}^{2}={a}^{2}-2ab+{b}^{2}.

\frac{y}{{(y-1)}^{2}}+\frac{6}{{y}^{2}+6y-7}

3)  Factor {y}^{2}+6y-7.

1 - Ask: Which two numbers add up to 6 and multiply to -7?

-1 and 7

2 - Rewrite the expression using the above.

(y-1)(y-7)

Outcome/Result: \frac{y}{(y-1)^2} +\frac{6}{(y-1)(y+7)}

4) Rewrite the expression with a common denominator.

\frac{y(y+7)+6(y-1)}{{(y-1)}^{2}(y+7)}

5)  Expand.

\frac{{y}^{2}+7y+6y-6}{{(y-1)}^{2}(y+7)}

6) Collect like terms.

\frac{{y}^{2}+(7y+6y)-6}{{(y-1)}^{2}(y+7)}

7) Simplify  {y}^{2}+(7y+6y)-6y  to  {y}^{2}+13y-6y

\frac{{y}^{2}+13y-6}{{(y-1)}^{2}(y+7)}

5 0
2 years ago
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