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Luba_88 [7]
3 years ago
15

Which expression is prime? A) x2 - 9 B) 1 - 9x2 C) 2a2 - 25 D) 4x2 - 9

Mathematics
2 answers:
mel-nik [20]3 years ago
4 0
I think the right anser would be (a)

Luden [163]3 years ago
3 0

Answer:

its c 2a2-25


Step-by-step explanation:


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Ava has 2 dozen pencils. 3/8 of them are sharpened. how many of them are sharpened?
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Answer:

3/8 of 24 is 9

9 of her pencils are sharpened.

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3 years ago
4x+6&lt;-6<br> Solve for x put steps
chubhunter [2.5K]

First move the constant to the other side causing it to change sides

4x<-6-6

Then calculate the difference (-6-6)

4x<-12

Now divide both sides by 4

X<-3

Then you are left with your answer:

x<-3

Hope this helps! :3

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3 years ago
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The total cost (in dollars) for a company to manufacture and sell x items per week is C=40x+180, whereas the revenue brought in
crimeas [40]

Answer:

The company needs to sell either 30 or 40 items.

Step-by-step explanation:

We are given that the cost for selling <em>x</em> items given by the function:

C(x)=40x+180

And the revenue for selling <em>x</em> items is given by:

R(x)=68x-0.4x^2

The profit function is the cost function subtracted from the revenue function:

P(x)=R(x)-C(x)

Substitute and simplify:

\displaystyle \begin{aligned} P(x)&=(68x-0.4x^2)-(40x+180)\\&=68x-0.4x^2-40x-180\\&=-0.4x^2+28x-180\end{aligned}

To find how many items must be sold in order to obtain a weekly profit of $300, we can let <em>P</em> equal 300 and solve for <em>x</em>. So:

300=-0.4x^2+28x-180

Solve for <em>x</em>. Subtract 300 from both sides:

-0.4x^2+28x-480=0

We can divide both sides by -0.4:

x^2-70x+1200=0

Factor:

(x-40)(x-30)=0

Zero Product Property:

x-40=0\text{ or } x-30=0

Solve for each case:

x=40\text{ or } x=30

So, in order to obtain a weekly profit of $300, the company need to sell either 30 <em>or</em> 40 items.

7 0
3 years ago
What is the arc length of the shaded region to the nearest tenth?
Maslowich

Answer:

285

Step-by-step explanation:

The total amount of degrees in a circle is 360, we know that the un-shaded portion of the circle is 90 degrees this means that the shaded portion has 270 degrees.

We also know that the area of the circle is \pi r^{2} but we are finding a portion of that, therefore we would need to multiply it by (\frac{270}{360} ). The radius is also given which is 11.

Area of the shaded region = (\frac{270}{360}) * \pi 11^{2} = 285

4 0
3 years ago
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