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Blizzard [7]
3 years ago
10

The volume of a rectangular prism whose dimensions are binomials with integer coefficients is modeled by the function V(x) = x^3

− 14x^2 + 49x − 36. Given that x − 1 and x − 9 are two of the dimensions, find the missing dimension of the prism.
Mathematics
2 answers:
Levart [38]3 years ago
5 0

Answer:

The missing dimension of the prism is (x-4)

Step-by-step explanation:

Here, we want to find the missing dimensions of the prism

To get the volume, we are to multiply three dimensions since we are talking about volume

Mathematically, to find the third dimension, we need to divide the original polynomial by the product of the two other dimensions

The product of the two other dimensions is;

(x-1)(x-9) = x^2-9x-x + 9

= x^2-10x+ 9

So we divide;

(x^3-14x^2+49x-36)/(x^2-10x+ 9)

We can use long division to get this

using long division, the answer here is x-4

JulsSmile [24]3 years ago
3 0

Answer:

  1. Answer is x–4

Step-by-step explanation:

I hope you understand

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If the seed company recommends planting approximately 350 grass seeds per square meter, about how many grass seeds will he need?
Svetach [21]

Answer:

83422.5 grass seeds

Step-by-step explanation:

Applying,

A = 1/2bh....................... Equation 1

Where A = Area of the Triangle, b = base, h = height.

But, from the diagram,

tanФ = 20/b

b = 20/tanФ.................. Equation 2

Substitute equation 2 into equation 1

A = 1/2(20/tanФ)(h)................ Equation 3

Given: h = 20 m, Ф = 40°

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A = 1/2(20×20)/tan40°

A = 200/tan40°

A = 238.35 m²

If the seed company recommends planting approximately 350 grass seeds per square meter,

Therefore,

Number of grass seed need = (350×238.35)

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3 years ago
If a train travels 70 miles per hour how long will it take it to travel 350 miles at this speed
svetoff [14.1K]
Since the train travels at a rate of 70 miles/hour, the train will take 5 hours to have traveled a total of 350 miles. The missing information in the question you've proposed is the value of "H" or the number of hours (as the unit hours is indicated in the question). This can be determined with the formula <em>Distance = rate X time. </em>350 = 70 X H, in this case. To isolate the variable H, 70 (the rate) divides 350 (the total distance) into 5. 350 ÷ 70 = H. 5 = H, the amount of time spent traveling for 350 miles at a rate of 70 miles/hour.

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3 years ago
( 18points)Help!!!
Mars2501 [29]

Answer:

It's indeed A. Yet I think of reporting multiple same questions as spam and nonsense titles.

but nah, I won't, would be kinda focused on the toxic part then :D

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I think it should also be 16 but I’m not pretty sure so hopefully you get it right !
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