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9966 [12]
3 years ago
9

What value of p will make the expression below a perfect square? x^2 - x + P

Mathematics
2 answers:
pentagon [3]3 years ago
8 0

Answer:

x^2 - x + 1/4

Step-by-step explanation:

To complete the square

x^2 - x + P

Take the coefficient of x

-1

Divide by 2

-1/2

Then square it

(-1/2)^2

1/4

Add this to complete the square

x^2 - x + 1/4

shutvik [7]3 years ago
6 0

Answer:

p = \frac{1}{4}

Step-by-step explanation:

To make a perfect square

add ( half the coefficient of the x- term )² to x² - x, that is

x² + 2(- \frac{1}{2} )x + \frac{1}{4} with p = \frac{1}{4} , thus

x² - x = (x - \frac{1}{2} )² + \frac{1}4}

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Julie runs 1 1/2 miles in 1/3 hour.How many miles will she run per hour at the same speed?
konstantin123 [22]
Multiply 3 * 1 1/2 to find how many miles she runs per hour

1 1/2 * 3

3/2 * 3

9/2

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4 0
3 years ago
Solve over the set of real numbers for the equation below x-2=√2x-1
Anon25 [30]

The set of real numbers for the equation x – 2 = √(2x – 1) will be 5.

<h3>What is the solution of the equation?</h3>

The solution of the equation means the value of the unknown or variable.

The equation is given below.

x – 2 = √(2x – 1)

Square on both side, then we have

               (x – 2)² = 2x – 1

         x² – 4x + 4 = 2x – 1

         x² – 6x + 5 = 0

   x² – 5x – x + 5 = 0

x(x – 5) – 1(x – 5) = 0

       (x – 5)(x – 1) = 0

                         x = 1, 5

The set of real numbers for the equation x – 2 = √(2x – 1) will be 5.

More about the solution of the equation link is given below.

brainly.com/question/545403

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6 0
2 years ago
Alabama Instruments Company has set up a production line to manufacture a new calculator. The rate of production of these calcul
umka21 [38]

Answer:

The number of calculators is 4871

Step-by-step explanation:

If we integrate dx/dt we get x, which is the number of calculators. To find the number of calculators between the beginning of third week to the end of fourth week (the beginning of fifth week), this integration must be evaluated at t between 3 and 5.

x=\int\limits^5_3 {\frac{dx}{dt}} \, dt =\int\limits^5_3 {5000(1-\frac{100}{(t+10)^2})} \, dt

the result of the integration is:

x=5000(t+\frac{100}{t+10}) to be evaluated between 3 and 5, which is:

x=5000(5+\frac{100}{5+10})-5000(3+\frac{100}{3+10})=\frac{190000}{39}=4871.8

6 0
3 years ago
One
lesantik [10]

\bf \begin{array}{ccll} oz&calories\\ \cline{1-2} 6&90\\ 64&x \end{array}\implies \cfrac{6}{64}=\cfrac{90}{x}\implies \cfrac{3}{32}=\cfrac{90}{x}\implies 3x=2880 \\\\\\ x=\cfrac{2880}{3}\implies x=960

3 0
3 years ago
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How many x-intercepts does the graph of y = 4x^2-12x+9 have?
Marianna [84]

Answer:

(3/2,0)

Step-by-step explanation:

Substitute 0 for y and solve for x

8 0
3 years ago
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