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Juli2301 [7.4K]
3 years ago
6

Find the product. (x + 9)(4x2 + 5x + 6)

Mathematics
2 answers:
CaHeK987 [17]3 years ago
8 0

Answer:

4x^3 + 41x^2 +51x + 54

Step-by-step explanation:

This is a polynomial distribution

(x + 9 )(4x^2 + 5x + 6) <u>We start by multiplying every term with x</u>

4x^3 + 5x^2 + 6x <u>there is plus sign between (x+9) so we put plus and start multiplying every term by 9</u>

4x^3 + 5x^2 + 6x + 36x^2 + 45x + 54

4x^3 + 41x^2 +51x + 54

amid [387]3 years ago
4 0
The answer is 5x2 + 59x + 126
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The circumference of a circle is 6 inches. What is the area of the circle?
Lubov Fominskaja [6]

Answer:

(B) 9π in²

Step-by-step explanation:

I’m going to assume that by 6 inches you meant 6π inches.

If the circumference of a circle is 6π inches, then it’s radius will be half of 6 (because the circumference of a circle is 2\pi r).

6\div2=3

So the radius is 3.

Now that we know the radius, we can find the area by using the equation \pi r^2.

\pi 3^2\\\pi9\\9\pi

Hope this helped!

3 0
3 years ago
Read 2 more answers
He volume of a rectangular prism is 2,058 cubic cm. The length of the prism is 3 times the width. The height is twice the width.
MrMuchimi

Answer: the height of the prism is 14 cm.

Step-by-step explanation:

The formula for determining the volume of a rectangular prism is expressed as

Volume = length × height × width

Volume = LWH

The length of the prism is 3 times the width. It means that

L = 3W

The height is twice the width. This means that

H = 2W

Therefore,

Volume = 3W × × W × 2W = 6W³

The volume of a rectangular prism is 2,058 cubic cm. This means that

2058 = 6W³

Dividing through by 6, it becomes

343 = W³

W = 7

Therefore, the height of the prism would be

H = 2W = 2 × 7

H = 14 cm

3 0
3 years ago
Suppose that you earned a​ bachelor's degree and now​ you're teaching high school. The school district offers teachers the oppor
harkovskaia [24]

Answer:

A ) The Amount which will be saved after five years is $ 5742.4

B ) The compound Interest is $ 1742.4

Step-by-step explanation:

The Principal deposited at the end of each year = $ 4000

The rate of interest = 7.5 % compounded annually

The time period = 5 years

From compounded method :

Amount = principal × (1+\dfrac{\textrm rate}{100})^{\textrm time}

or, Amount = $ 4000 × (1+\dfrac{\textrm 7.5}{100})^{\textrm 5}

Or, Amount = $ 4000 × (1.0075)^{5}

or, Amount = $ 4000 × 1.4356

∴ Amount = $ 5742.4

A ) The Amount which will be saved after five years is $ 5742.4

B ) The compound Interest = Amount - principal

   Or, C I = $ 5742.4 - $ 4000 is $ 1742.4    Answer

8 0
2 years ago
45 +2.50m = 3.75m<br> what is the answer
zhannawk [14.2K]

m = 36

<u>Work</u>

<em>45 + 2.50m = 3.75m</em>

<em>        -3.75m    -3.75m</em>

<em>45 - 1.25m = 0</em>

<em>- 45             - 45</em>

<u><em>-1.25</em></u><em>m = </em><u><em>-45</em></u>

<em>-1.25     -1.25</em>

<em>     </em>m = 36

3 0
3 years ago
Which of these is an example of a literal equation? A. 3x – 4y B. 12 = 9 + 3x C. 6 + 30 = 62 D. ax – by = k
nika2105 [10]
I think the answer is D.
8 0
3 years ago
Read 2 more answers
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