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Montano1993 [528]
3 years ago
5

2p^2 -1 =7 Would appreciate some help thank you

Mathematics
2 answers:
CaHeK987 [17]3 years ago
7 0

For this chaos we must solve the following equation:

2p ^ 2-1 = 7

Adding 1 to both sides of the equation we have:

2p ^ 2 = 7 + 1\\2p ^ 2 = 8

Dividing by 2 to both sides of the equation:

p ^ 2 = \frac {8} {2}\\p ^ 2 = 4

Applying root to both sides:

p = \pm \sqrt {4}

Thus, we have two solutions:

x_ {1} = + 2\\x_ {2} = - 2

Answer:

x_ {1} = + 2\\x_ {2} = - 2

SIZIF [17.4K]3 years ago
5 0

Answer: p = 2

Step-by-step explanation:

To solve this problem, you first have to add 1 to each side of the equation, leaving you with 2p^2 = 8. Then you divide by 2 on both sides leaving you with p^2 = 4. After that, you take the square root of both sides, and because 4 is a perfect square, you get p = 2 as your final answer.

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A student created this table to represent a linear relationship between x and y.X Y-2. 10.0-1. 7.50. 5.01. 2.52. 0The student sa
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The relationship between x and y is represent as:

Since, the relationship is linear.

The standard form of equation of line is:

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

Consider any two set x and y values from the given relationship.

Let (-2, 10) and (-1,7.5)

\text{Substitute x}_1=-2,y_1=10,x_2=-1,y_2=7.5\text{ in the standard equation of line.}

\begin{gathered} y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1) \\ y-10=\frac{7.5-10}{-1-(-2)}(x-(-2)) \\ y-10=\frac{-2.5}{1}(x+2) \\ y-10=-2.5(x+2) \\ y=-2.5(x+2)+10 \end{gathered}

The equation of the linear relationship between x and y is:

y = -2.5(x + 2) + 10

Now, to check that the point (9, -17.5) lies on the represented relationship between x and y

Substitute x = 9 and y = -17.5 in the equation y = -2.5(x + 2) + 10

y = -2.5(x + 2) + 10

-17.5 = -2.5(9 + 2) + 10

-17.5 = -2.5(11) + 10

-17.5 = -27.5 + 10

-17.5 = -17.5

Thus, LHS = RHS

Hence the point (9, -17.5) lie on the given linear relationship between x and y.

Answer: The point (9, -17.5) lie on the given linear relationship between x and y.

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1 year ago
Select the correct answer.
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Answer:

C. The equation has two valid solutions and no extraneous solutions.

Step-by-step explanation:

See attached file for complete work.

Download pdf
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