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sineoko [7]
3 years ago
10

The length, width and height of a rectangular box are represented by 2x, 4x+1 and 5x-6 respectively. When the volume is expresse

d as a polynomial in standard from, what is the coefficient of the 2nd term?
Mathematics
1 answer:
Damm [24]3 years ago
5 0

Answer:

the coefficient of the 2nd term: - 38

Step-by-step explanation:

V = 2x (4x + 1) (5x - 6)

   =(8x² + 2x) (5x - 6)

   = 40x³ - <u>38</u> x² - 12x

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A student bought some pens at 8 each and some pencils at 31.50 each. If the total
Wittaler [7]

Step-by-step explanation:

Letthenumberofpensbexand

numberofpencilsbey

then

x+y=16ory=16−x

andtheirvalue

8x+1.5y=50

8x+(

2

3

)(16−x)=50

8x+24−(

2

3

)x=50

8x−(

2

3

)x=50−24

(

2

13x

)=26∴x=4

theny=16−x=16−4=12

5 0
3 years ago
Determine the measure of angle a. PLEASE HELP ASAP!
wlad13 [49]

Answer:

D

Step-by-step explanation:

Remember that the sum of the interior angles of a triangle will always total 180.

Therefore:

(9x+6)+(74)+(16x)=180\\

Let’s solve for <em>x: </em>

Combine LIke Terms:

(9x+16x)+(74+6)=180

Add:

25x+80=180

Subtract 80 from both sides:

25x=100

Divide both sides by 25:

x=4

Therefore, the value of <em>x </em>is 4.

Now, to find A, we can substitute it for A.

A is measured by:

\angle A=9x+6

Substitute 4 for <em>x</em> and evaluate:

\angle A=9(4)+6=36+6=42\textdegree

Hence, our answer is D.

6 0
3 years ago
Which expressions represent the difference of exactly two expressions?
evablogger [386]

Answer:

  1, 3, 4

Step-by-step explanation:

Among these answer choices, you're looking for two expressions separated by a minus sign. Choice 2 is only one expression, so does not meet the required criterion.

  1. 6(x+7)-2

  3. 4f-2g

  4. 3xyz-10

7 0
3 years ago
AB = x + 8
vivado [14]

Answer: The length of BC is 7

Step-by-step explanation: Assuming the lengths of the opposite sides of the quadrilateral are congruent, then

AB=DC and

AD=BC

Inputting the values of AB, DC and AD as given in the question:

x + 8 = 3x ...(1)

x + 3=? ...(2)

We have to solve for the value of x to get the actual lengths and thus ascertain BD.

From equation (1):

8 = 3x - x

8 = 2x

8/2 = x

Therefore, x = 4.

If x = 4 then equation(2) would be

4 + 3= 7.

Hence, the actual lengths of the quadrilateral are:

AB = 4 + 8. DC = 3(4)

=12. =12.

AD = 4 + 3. AD = BC

= 7. Therefore, BC = 7.

Hence, it is confirmed that quadrilateral ABCD is a parallelogram since both the opposite sides are proven to be congruent.

3 0
3 years ago
Select the two binomials that are factors of this trinomial x^20 - x - 20
Mashcka [7]

Answer:

(x-5)(x+4)

Step-by-step explanation:

To factor the equation, break it into two binomials which multiply to make the equation. To write these binomials (x+a)(x+b), find factors which multiply to -20 and add to -1 for a and b.

20: 1, 2, 4, 5, 10, 20

-5+4 = -1

x^2-x-20 = (x-5)(x+4)

8 0
3 years ago
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