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postnew [5]
2 years ago
5

What are the factors of 10x^3+24x^2+14x

Mathematics
1 answer:
maria [59]2 years ago
4 0

Answer:

2x(x+1)(5x+7)

Step-by-step explanation:

10x^3+24^2+14

2(5x^3+12x+7)

2x(5x^2+12x+7)

2x(x+1)(5x+7)

2x(2x+1)(5x+7)

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Entertainment Software Association would like to test if the average age of "gamers" (those that routinely play video games) is
lions [1.4K]

Answer:

"30 years or less when, in reality, the average age is more than 30 years"

Step-by-step explanation:

Type I error is produced when conclusion rejects a true null hypothesis.

The null hypothesis is

"The average gamer is more than 30 years old"

(deduced from the wording, not explicitly stated).

Then if the conclusion is "the average gamer is less than or equal to 30 years old" when in reality the average age is more than 30 years, then there is a type I error, since the null hypothesis is rejected.

Answer is D:

"30 years or less when, in reality, the average age is more than 30 years"

8 0
2 years ago
Someone please be awesome and help me please :(
solong [7]

Answer:

(x+\frac{b}{2a})^2+(\frac{4ac}{4a^2}-\frac{b^2}{4a^2})=0

(x+\frac{b}{2a})^2=\frac{b^2-4ac}{4a^2}

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

Step-by-step explanation:

x^2+\frac{b}{a}x+\frac{c}{a}=0

They wanted to complete the square so they took the thing in front of x and divided by 2 then squared.  Whatever you add in, you must take out.

x^2+\frac{b}{a}x+(\frac{b}{2a})^2+\frac{c}{a}-(\frac{b}{2a})^2=0

Now we are read to write that one part (the first three terms together) as a square:

(x+\frac{b}{2a})^2+\frac{c}{a}-(\frac{b}{2a})^2=0

I don't see this but what happens if we find a common denominator for those 2 terms after the square.  (b/2a)^2=b^2/4a^2 so we need to multiply that one fraction by 4a/4a.

(x+\frac{b}{2a})^2+\frac{4ac}{4a^2}-\frac{b^2}{4a^2}=0

They put it in ( )

(x+\frac{b}{2a})^2+(\frac{4ac}{4a^2}-\frac{b^2}{4a^2})=0

I'm going to go ahead and combine those fractions now:

(x+\frac{b}{2a})^2+(\frac{-b^2+4ac}{4a^2})=0

I'm going to factor out a -1 in the second term ( the one in the second ( ) ):

(x+\frac{b}{2a})^2-(\frac{b^2-4ac}{4a^2})=0

Now I'm going to add (b^2-4ac)/(4a^2) on both sides:

(x+\frac{b}{2a})^2=\frac{b^2-4ac}{4a^2}

I'm going to square root both sides to rid of the square on the x+b/(2a) part:

x+\frac{b}{2a}=\pm \sqrt{\frac{b^2-4ac}{4a^2}}

x+\frac{b}{2a}=\pm \frac{\sqrt{b^2-4ac}}{2a}

Now subtract b/(2a) on both sides:

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

Combine the fractions (they have the same denominator):

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

6 0
3 years ago
A theater rents their space for $300 per night. If the company charges $9 per ticket, then what is the least number of tickets t
vitfil [10]

Answer:

Company needs to sell at least 34 tickets in order to make a profit.

Step-by-step explanation:

Given:

Rent for the space = $300

Cost per tickets = $9

Let the number of tickets sold be 'x'

We need to find the least number of tickets to be sold to make profit

Now total profit can be made if  amount which is made after selling number of tickets is greater than 300.

Hence the equation can be framed as,

9x\geq300

Solving the equation to find the value of x we get;

We will use Division property and divide both side by 9 we get;

\frac{9x}{9}\geq\frac{300}{9}\\\\x\geq33.33

Tickets which need to be sell cannot be in point value hence rounding to whole number we get;

x\geq34

Hence Company needs to sell at least 34 tickets in order to make a profit.

6 0
3 years ago
HELP! WILL MARK BRAINLIEST IF CORRECT!
kicyunya [14]

Answer:

battery costs $5, tax is $1.20, and so the total is $26.20

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is the value of the expression 22 + 42 ÷ 22?<br><br> 3<br> 6<br> 8<br> 16
insens350 [35]

Answer:

Step-by-step explanation:

22 + 42 divided by 22

we always to division and multiplication before adding or subtracting, so

(42/22) + 22 = a very lonnggg number = 23.9090909091?????

are you sure the equation is correct?

i can help you

thank you

4 0
3 years ago
Read 2 more answers
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