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3 years ago

What is the value of 3x2 - 5xy + 5y2 for x = -6 and y = 2?

1 answer:

4 0

Answer is 188 3x2 - 5xy + 5y2 Now put x = -6 and y = 2 3(-6)2 - 5(-6)(2) + 5(2)2 3(36) - 5(-12) + 5(4) 108 + 60 + 20 188

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Factor each expression completely6x^2+x-2

Citrus2011 [14]

$6x^2+x-2$

first , set the function equal to zero

$6x^2+x-2=0$

now we can use this expression to factor

$x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}$

where a is 6, b is 1 and c -2

so, replacing

$\begin{gathered} \frac{-(1)\pm\sqrt[]{1^2-4(6)(-2)}}{2(6)} \\ \\ \frac{-1\pm\sqrt[]{1+48}}{12} \\ \\ \frac{-1\pm\sqrt[]{49}}{12} \\ \\ x=\frac{-1\pm7}{12} \end{gathered}$

x has two values

$x_1=\frac{-1+7}{12}=\frac{1}{2}$ $x_2=\frac{-1-7}{12}=-\frac{2}{3}$

we have the two roots now we chang the sign and make the factor expression

$(x-\frac{1}{2})(x+\frac{2}{3})$

8 0

2 years ago

A company making tires for bikes is concerned about the exact width of their cyclocross tires. The company has a lower specifica

deff fn [24]

Answer:

For this process, the capability index is 0.4444

Step-by-step explanation:

Given the data in the question;

Lower specification limit = 22.8 mm

Upper specification limit = 23.2 mm

The standard deviation σ = 0.15 mm

Mean μ = 23

capability index Cpk = ?

Now, Using the formula;

Cpk = min{ [(USL - μ)/3σ], [(μ - LSL)/3σ]

where USL is the Upper specification limit, LSL is the Lower specification limit, σ is the standard deviation, μ is the mean

so we substitute

Cpk = min{ [(23.2 - 23 )/(3×0.15)], [(23 - 22.8)/(3×0.15)] }

Cpk = min{ [0.2 / 0.45 ], [0.2 / 0.45] }

Cpk = min{ [ 0.4444 ], [0.4444] }

Therefore, for this process, the capability index is 0.4444

8 0

3 years ago

108 = -2(-5 - 7b) What does b equal?

mario62 [17]

Answer:

b = 7

Step-by-step explanation:

108 = -2(-5 - 7b)

Distribute -2 to the terms inside the parenthesis:

108 = 10 + 14b

Subtract 10 from both sides of the equation to isolate 14b:

108 - 10 = 10 + 14b - 10

98 = 14b

Divide 14 on both sides of the equation to solve for b:

$\frac{98}{14} = \frac{14b}{14}$

7 = b

6 0

3 years ago

Factor this: a^n+a^n+1

NARA [144]

Answer:

1 + 2 a^n

Step-by-step explanation:

4 0

3 years ago

Which property is illustrated by the equation 2+8=8+2?

vodomira [7]

Answer:

communicative, you can remember this by saying (the rule for the communicative property, is as easy as can be, just remember a+b is the same as b+a )

6 0

3 years ago

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