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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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gina pasted 3 stickers in a book. if she added one sticker to her collection every day, what equation represents the relationshi
lukranit [14]

Answer:

The answer to your question is

                       Number of stickers = number of days + 3

Step-by-step explanation:

- To find the equation of the line that represents the situation, first, find the slope.

Slope = m = \frac{y2 - y1}{x2 - x1}

             m = \frac{4 - 3}{1 - 0} = \frac{1}{1} = 1

- Find the equation of the line

                      y - y1 = m(x - x1)

                      y - 4 = 1(x - 1)

                      y - 4 = x - 1

                           y = x - 1 + 4

                           y = x + 3

y = number of stickers

x = days

                     Number of stickers = number of days + 3

3 0
3 years ago
Indicate which property is illustrated in Step 5.
pychu [463]

Answer:

D)

Step-by-step explanation:

4 0
3 years ago
Bethany paid $408.75 for a pair of diamond stud earrings. The sale price was $375. What is the Percent of Sales Tax she paid for
9966 [12]

Answer:

She paid 9% of sales tax

Step-by-step explanation:

The sale price of diamond = $375

Let x be percent of sales tax

So, amount of tax = x\% \times 375 = \frac{x}{100} \times 375 =3.75x

So, Amount including tax = 375+3.75x

We are given that Bethany paid $408.75 for a pair of diamond stud earrings.

So, 375+3.75x=408.75

3.75x=408.75-375

x=\frac{408.75-375}{3.75}

x=9

Hence She paid 9% of sales tax

5 0
3 years ago
The ratio of credit card sales to cash sales at a store was 8:3. If the store had 144 cash sales, how many more credit card sale
Neko [114]

Answer:

There were 240 more credit card sales than cash sales.

Step-by-step explanation:

By using the ratio 8:3 I was able to determine that if there were 144 cash sales that would mean that there would be 384 credit card sales. However, the question asks "How many <u>more</u> credit card sales were there than cash sales?" Meaning that we need to find the difference. 384-144= 240.

This means that there were 240 <u>more</u> credit card sales than cash sales.

Hope this helped! If you have any questions about what I did please comment!

And if this helped please mark brainliest!

Have a great day!!

4 0
3 years ago
Someone help me with my homework
Nutka1998 [239]

Answer:


Step-by-step explanation:

the second one is correct. the first one is wrong because shape C also has those angles. the third one is wrong because shape C also has no perpendicular sides. the fourth one is wrong because shape C also has 2 pairs of angles with the same measure.

5 0
3 years ago
Read 2 more answers
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