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2 years ago

Which expression represents this word phrase? seven less than the quotient of x and 9 x−7 9 x÷ 9 7 (x÷9)−7 (9÷x)−7

1 answer:

6 0

Quotient of x and 9 is $\frac{x}{9}$ because we can find quotient by division.
Now we have to less 7 from this quotient.

So we can write it as

$\frac{x}{9} - 7$

So we can say third option is correct.

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What is the product of the expressions? Assume y ≠0 (2y-1/y^2)(3y^2/7)

Dima020 [189]

Answer:

(6y-3)/7

Step-by-step explanation:

(2y-1/y²)(3y²/7) first simplify 3y²/y² =3

(2y-1)(3/7) =

(6y-3)/7

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3 years ago

Who needs Math Help?

raketka [301]

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3 years ago

Find+the+positive+value+for+α+if+the+radius+of+the+circle+3x^2+3y-6αx+12y-3α=0+is+4

Alik [6]

Answer:

$\alpha=3$

Step-by-step explanation:

<u>Equation of a Circle</u>

A circle of radius r and centered on the point (h,k) can be expressed by the equation

$(x-h)^2+(y-k)^2=r^2$

We are given the equation of a circle as

$3x^2+3y^2-6\alpha x+12y-3\alpha=0$

Note we have corrected it by adding the square to the y. Simplify by 3

$x^2+y^2-2\alpha x+4y-\alpha=0$

Complete squares and rearrange:

$x^2-2\alpha x+y^2+4y=\alpha$

$x^2-2\alpha x+\alpha^2+y^2+4y+4=\alpha+\alpha^2+4$

$(x-\alpha)^2+(y+2)^2=r^2$

We can see that, if r=4, then

$\alpha+\alpha^2+4=16$

Or, equivalently

$\alpha^2+\alpha-12=0$

There are two solutions for $\alpha$ :

$\alpha=-4,\ \alpha=3$

Keeping the positive solution, as required:

$\boxed{\alpha=3}$

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2 years ago

A machine is designed to fill 16-ounce bottles of shampoo. When the machine is working properly, the amount poured into the bott

DiKsa [7]

Answer:

Between 15.95 ounces and 16.15 ounces.

Step-by-step explanation:

We have the following value m, being the mean, sd, being the standard deviation and n, the sample size:

m = 16.05

sd = 0.1005

n = 4

We apply the formula of this case, which would be:

m + - 2 * sd / (n ^ 1/2)

In this way we create a range, replacing we have:

16.05 + 2 * 0.1005 / (4 ^ 1/2) = 16.1505

16.05 - 2 * 0.1005 / (4 ^ 1/2) = 15.9495

Which means that 95% of all samples are between 15.95 ounces and 16.15 ounces.

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2 years ago

____ Is the amount of money owed in addition to the original amount

abruzzese [7]

Answer:

APR INTEREST

THANKS ME LATUR

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2 years ago