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lesya [120]
3 years ago
15

(4x^3 - x^2 +4x) + (x^3 -x^2 - 4x)

Mathematics
1 answer:
madreJ [45]3 years ago
4 0

Answer:

5x³ - 2x²

Step-by-step explanation:

Step 1: Write out expression

4x³ - x² + 4x + x³ - x² - 4x

Step 2: Combine like terms (x³)

5x³ - x² + 4x - x² - 4x

Step 3: Combine like terms (x²)

5x³ - 2x² + 4x - 4x

Step 4: Combine like terms (x)

5x³ - 2x²

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Pls! just this question! 10 points
hram777 [196]

Answer:

A. 15

Step-by-step explanation:

Width (w): 5

Height (h): 6

Area of Triangle (A) = 1/2wh

A = 1/2(5)(6)

A = 5 x 3

A = 15 units squared

Hope this helped! <3

3 0
3 years ago
Tell whether the shapes are similar explain your answer
Luda [366]
Yes you can assume they are similar because the sides that correspond with one another are half of the big triangles measurements. 16/2=8 12/2=6 etc.
7 0
3 years ago
Find the area of a circle with a
lina2011 [118]

Answer:

254.34 in.²

Step-by-step explanation:

area = πr²

given, radius = 9 cm

according to formula

→ 3.14 × (9)²

→ 3.14 × 81

→ 254.34 in.² ans.

hope this helps you !

6 0
2 years ago
The​ cost, in​ dollars, of producing x belts is given by Upper C (x )equals 970 plus 12 x minus 0.076 x squared. The​ revenue, i
umka21 [38]

Answer:

$68.44 for each additional belt

Step-by-step explanation:

The cost and revenue functions are:

C(x) = 970+12x - 0.076x^2\\R(x) =43x^{\frac{3}{4}}

The profit function, P(x), is given by subtracting the cost function from the revenue function.

P(x) = R(x) - C(x)\\P(x)=43x^{\frac{3}{4}}+0.076x^2-12x-970\\

The derivate of the profit function gives us the rate at which profit changes:

\frac{dP(x)}{dx} =P'(x)=32.25x^{\frac{-1}{4}}+0.152x-12\\

For x = 484, the rate of change is:

P'(484)=32.25*484^{\frac{-1}{4}}+0.152*484-12\\P'(484) = \$68.44/belt

Profit is increasing by $68.44 for each additional belt

3 0
3 years ago
How many equal sections divide a directed line segment if it is to be partitioned with a 2:7 ratio? 2, the least number given in
Elodia [21]

9514 1404 393

Answer:

  9, the sum of the numbers given in the ratio

Step-by-step explanation:

The reduced ratio 2 : 7 means that two parts correspond to one length and 7 parts correspond to the other length. That is, there are a total of 2+7 = 9 parts in the full length of the segment.

It is convenient to think of the line segment as being divided into 9 equal parts.

_____

<em>Additional comments</em>

It is often helpful to consider the total number of "ratio units" in a given ratio. For example, in this problem, the shorter segment is 2/9 of the whole, and the longer one is 7/9 of the whole.

It can also be useful to consider what a "ratio unit" represents. If the whole segment is 27 inches long, then each of the 9 ratio units will represent 3 inches, for example. This means the division 2:7 is 2(3 in):7(3 in) = 6 in : 21 in.

3 0
2 years ago
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