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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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Formulas and Literal Equations
miskamm [114]

Answer:

x = 23

Step-by-step explanation:

Given, \frac{x - 5}{2} = 9, solve for x.

Multiply both sides by 2

\frac{x - 5}{2} \times 2 = 9 \times 2

x - 5 = 18

Add x to both sides

x - 5 + 5 = 18 + 5

x = 23

7 0
3 years ago
(2.3) and (-15.5) find the slope of the linw
sp2606 [1]
2,-17

Equation: y = -0.11765x + 3.23529.
4 0
2 years ago
<img src="https://tex.z-dn.net/?f=%5Bx%5E%7B2%2F5%7D%20%5D%5Bx%5E%7B1%2F5%7D%20%5D" id="TexFormula1" title="[x^{2/5} ][x^{1/5} ]
LUCKY_DIMON [66]

Answer:

[x^{2/5} ][x^{1/5} ] \\  \\  =  {x}^{ \frac{2}{5} +  \frac{1}{5}  }  \\  \\  =  {x}^{ \frac{2 + 1}{5} }  \\  \\ =  {x}^{ \frac{3}{5} }  \\

6 0
3 years ago
Given f(x)=x^3+2x+k.<br> and x+1 is a factor of f(x), then what is the value of k?
Ludmilka [50]

Answer:

k = 3.

Step-by-step explanation:

By the Factor Theorem. if x+a is a factor of f(x)  then f(-a) = 0.

Here we use f(-1):

f(-1) = (-1)^3 + 2(-1) + k = 0

-1 - 2 + k = 0

k = 3.

4 0
3 years ago
NEED ASAP Which line is parallel to the line y=4x-2?
Umnica [9.8K]

Answer:

y = 4x + 1

Step-by-step explanation:

Given the equation y = 4x - 2, we need to find the equation parallel to this line. Note that for two equations to be parallel to each other, the must have the same slope

Standard form of an equation is y = mx + b

Compare;

mx = 4x

m = 4

Since the slope of the given equation is 4, the required equation must also have a slope of 4

Since we are not given an option, we can assume any equation with a slope of 4

y = 4x + 1 will be parallel to the given equation since they both have the same slope

<em>Note that the equation can be different so far they have the slope of 4</em>

8 0
3 years ago
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