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3 years ago

Which of the following is the result of completing the square for x2 + 8x - 6 ?

2 answers:

7 0

X^2+8x-6=0
(x+8/2)^2-(8/2)^2-6=0
(x+4)^2-16-6=0
(x+4)^2-22=0

x+4= ± square root 22

x=-4 + square root 22 or x=-4 - square root 22
=0.6904 =-8.6904

melamori03 [73]3 years ago

5 0

STEP 1- since 6 doesn't contain the variable to solve for move it to the right side of the equation by subtracting 6 from both sides
X^2-8X=-6
STEP 2- create a trinomial square on the left side of the equation find the value that is equal to the square of half of b the coefficient of x
(b/2)^2 =(-4)^2
STEP 3- add the term to each side of the equation
x^2-8x+(-4)^2=-6=(-4)
STEP 4- simplify the equation
x^2-8x+16=10
STEP 5- factor the perfect trinomial square into (x-4)^2
(x-4)^2=10
STEP 6-solve the equation for x
x=4= square root of 10

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3 years ago

On its municipal website, the city of Tulsa states that the rate it charges per 5 CCF of residential water is $21.62. How do the

Daniel [21]

Answer:

hello your question is incomplete attached below is the complete question

answer :

H0 : u = 21.62 ( Null hypothesis )

H1 : u = 21.62 ( alternative hypothesis )

Step-by-step explanation:

Formulating hypothesis that can be used to determine whether the population mean rate at 5 CCF of residential water discharged by U.S public utilities differs from $21.62

H0 : u = 21.62 ( Null hypothesis )

H1 : u = 21.62 ( alternative hypothesis )

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3 years ago

A limited-edition soccer ball costs $30, and the sales tax is 6%. What is the total cost?

frez [133]

Answer:

$31.80

Step-by-step explanation:

The ball will cost 100% of its price plus 6% of its price for a total of 106%.

To use percentages as a factor and multiply, they must be divide by 100, making the multiplication factor version of 106% 1.06.

Multiply the cost of the ball by your multiplication factor:

30 x 1.06 = 31.8

Money is written to two decimal places, making your answer $31.80

6 0

3 years ago

Read 2 more answers

Solve the equation thanks!

AlladinOne [14]

Answer:

c = $\frac{27}{40}$

Step-by-step explanation:

To eliminate the fractions, multiply all terms by the lowest common multiple of 8 and 5

The lowest common multiple of 8 and 5 is 40

5 + 40c = 32 ( subtract 5 from both sides )

40c = 27 ( divide both sides by 40 )

c = $\frac{27}{40}$

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3 years ago

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In a factory, the chance that a certain machine works without overheating in the morning is 50%. If it runs smoothly all morning

sammy [17]

Let's imagine that we turn the machine on 100 times. (this will make the percent conversion easier)

the chance that works in the morning is 50% of 100 so it will work 50 times.

the chance that it will then continue for the rest of the day is 15% so 15%*50 (the number of times it worked), which is 7.5 times.

our times actually represented percent, so the answer is : 7.5%!

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3 years ago