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aleksandr82 [10.1K]
2 years ago
7

Multiplying Polynomials Distributive Property x^3(x^2+5x-1)

Mathematics
1 answer:
prohojiy [21]2 years ago
8 0

Answer:

x^5+5x^4−x^3

Step-by-step explanation:

Expand by distributing terms

x^3x^2+x^3*5x-x^3

Use the product rule x^a+x^b=x^a+b

x^3+2 +x^3*5x-x^3

Simplify 3+2 to 5

x^5+x^3*5x-x^3

Regroup

x^5+5x^33-3^3

Use product rule x^a+x^b=x^a+b

x^5+5x^3+1   -x^3

Simplify 3+1 to 4

x^5+5x^4−x^3

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Jim washes 2/3 of his car with 1/2 a bottle of soap. What fraction of the soap will he use to clean his entire car?​
Sunny_sXe [5.5K]

Answer:

if he uses 1/2 for 2/3, then you can divide 2/3 and 1.2 by 2 to get the remaining soap needed to complete the wash

so to clean the last 1/3 of the car, he`ll use 1/4 of the remaining soap

the entire car needs <u><em>3/4 of a bottle of soap</em></u>

3 0
2 years ago
an equilateral triangle and a regular pentagon have the same perimeter. Each side of the pentagon is 3 inches shorter than each
klemol [59]
The answer is 4.5 for the side length of the pentagon and 7.5 is the side length for the triangle because 7.5*3(3 sides) = 22.5 and 4.5*5(5 sides)= 22.5. The perimeter is 22.5
6 0
3 years ago
If log_10(x) = 3 + log_10(y), then find x/y
Lina20 [59]

Answer:

  •  1000

Step-by-step explanation:

  • log_{10}x = 3 + log_{10}y
  • log_{10}x - log_{10}y = 3
  • log_{10}(x/y) = 3
  • x/y = 10^3
  • x/y = 1000

7 0
2 years ago
Read 2 more answers
370 College freshmen were interviewed. 200 were registered for an Advanced Math class. 270 were registered for an English class
frozen [14]

Answer:

Step-by-step explanation:

To aid in understanding, draw three circles...

100 were registered for both Math and English.

50 were registered for both Sport and English but not Math.

70 were registered for Math, Sport, and English.

From here we will be able to calculate for those that signed up for only English class: Total number of students that signed up for english class

a. none signed up only for Maths (refer to attached document)

b. How many signed up for neither Math nor English meaning they signed up for only sports which is 70 from the venn diagram in the attachment.

c. How many signed up for an English class and at least one other class?

From the venn diagram:

we could have an English class and maths class - 100

we could also have an a English class and sports - 50

Thus total is 150.

d. What is the total fee for all the students enrolled in classes

From the diagram, 120 (english only and sport only) enrolled for only one class = 120 x $100 = $12,000

From the diagram, 180 (english and sport, maths and sport and english and maths) enrolled for two classes = 180 x $150 = $27,000

From the diagram, only 70 enrolled for the three classes = 70 x $200 = $14,000

Total fees = $12,000 + $27,000 + $14,000 = $53,000

5 0
3 years ago
Determine if the sequence is arithmetic. If it is, find the term named in the problem.
Brums [2.3K]

Answer:

a_{39} <em>= 279</em>

Step-by-step explanation:

a_{n} = a_{1} + (n - 1)d

d = a_{2} - a_{1}

~~~~~~~~~

d = - 17 + 25 = - 9 + 17 = - 1 + 9 = 8

a_{39} = - 25 + 8(39 - 1) = 279

a_{39} <em>= 279</em><em> </em>

5 0
3 years ago
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