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Yanka [14]
4 years ago
10

The volume of a rectangular box is (x3 - 7x2 - 9x + 63) cubic units. Determine the dimensions of the rectangular box by factorin

g the volume expression completely.
Mathematics
1 answer:
Shalnov [3]4 years ago
6 0
Hello,
well done.
As x^3-7x²-9x+63=(x-3)(x+3)(x-7) we must have x>3 and x>-3 and x>7 thus x>7

Explanations:
x^3-7x²-9x+63=x^3-9x+(-7x²+63)=x(x²-9)-7(x²-9)=(x²-9)(x-7)=(x+3)(x-3)(x-7)

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Plz help me. Plz calculate 4(x−2)−3
Alisiya [41]

Answer:

4x-11

Step-by-step explanation:

open parentheses: 4x-8-3

solve: 4x-11

7 0
3 years ago
What is the common difference, d, in the arithmetic sequence defined by the formula below? an=2n+1
marishachu [46]
<h3><u>Answer:</u></h3>

  • d = 2

<h3><u>Solution:</u></h3>

We are given that the arithmetic progression is defined by :

➝ 2n + 1

<em>Therefore, </em>

  • <u>For </u><u>first </u><u>term</u>

➙ n = 1

➝ 2 × 1 + 1

➝ 2 + 1

➝ 3

  • <u>For </u><u>second </u><u>term</u>

➙ n = 2

➝ 2 × 2 + 1

➝ 4 + 1

➝ 5

  • <u>Common </u><u>difference</u>

➙ 2nd term - 1st term

➝ 5 - 3

➝ 2

<h3><u>More </u><u>information</u><u>:</u></h3>

  • The difference between the successive term and the preceding term is the difference of an arithmetic progression. It is always same for the same arithmetic progression.

5 0
2 years ago
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20

Step-by-step explanation:

4 0
3 years ago
What is the value of 16- a when a = 9​
Allisa [31]

7 if a = 9 the 16-9=7

5 0
3 years ago
Read 2 more answers
Write the linear equation that gives the rule for this table.
MAVERICK [17]

Answer:

The linear equation that gives the rule for this table will be:

  • y=x+25

Step-by-step explanation:

Taking two points from the table

  • (2, 27)
  • (3, 28)

Finding the slope between two points

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(2,\:27\right),\:\left(x_2,\:y_2\right)=\left(3,\:28\right)

m=\frac{28-27}{3-2}

m=1

We know the slope-intercept form of linear equation is

y=mx+b

where m is the slope and b is the y-intercept

substituting the point (2, 27) and m=1 in the slope-intercept form to determine the y-intercept 'b'

y=mx+b

27 = 1(2)+b

27-2 = b

b = 25

Now, substituting m=1 and b=25 in the slope-intercept form to determine the linear equation

y=mx+b

y=1(x)+25

y=x+25

Thus, the linear equation that gives the rule for this table will be:

  • y=x+25
4 0
3 years ago
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