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iogann1982 [59]
3 years ago
12

3х'2 - 8x - 3

Mathematics
1 answer:
Tems11 [23]3 years ago
4 0

Answer:

3x+1/2x

Step-by-step explanation:

When simplifying algebraic expressions, we should first factorise each term fully to find any common factors. First we should factorise the numerator where 3x2-8x-3 factorises to (3x+1)(x-3). Next, we should factorise the denominator where 2x2-6x factorises to 2x(x-3). Now we see that (x-3) is the highest common factor of both the numerator and denominator, hence we can "cancel" the (x-3) term from both the numerator and denominator. Therefore, the expression simplifies fully to (3x+1)/(2x)

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HELP PLEASE!!!! Jerome has 15 albums with 7 baseball cards in each. His friend gives him 8 packages of baseball cards with 13 in
hichkok12 [17]

albums:  15*7 = 105 cards

packages : 8*13 = 104 cards

extra cards 10

total cards =albums+ packages + extra cards

                = 105+ 104 + 10

                219 cards

4 0
3 years ago
Read 2 more answers
Find the perimeter of the following shape, rounded to the nearest tenth:
Mademuasel [1]

Answer:

B, 19.1

Step-by-step explanation:

Imagine that each side is the hypotenuse of a triangle. You want to use the Pythagorean theorem on each of these triangles to find the length of the side.

Let's start with AB:

One side of the triangle is the distance between the points in the x direction only. A is at the x-coordinate of -3 while B is at the x-coordinate of 2. The side is, thus, 5 units.

The other side of the triangle is the distance between the points in the y direction only. A is at the y-coordinate of 5, while B is at 6. The distance is 1 unit.

So we have a triangle with the base of 5 and the height of 1. The Pythagorean theorem says:

Base² + Height² = Hypotenuse²

Or

a² + b² = c²

where a, b are the sides, and c is the hypotenuse.

Put our values into this, the base is 5 and the height is 1:

5² + 1² = c²

25 + 1 = 26 = c²

c = √26 ≈ 5.1

Repeat this for the lengths BC, CD, and DA.

BC

x-difference = 2

y-difference = 4

4² + 2² = c²

20 = c²

c = √20 ≈ 4.47

CD

x-difference = 5

y-difference = 1

(since this is the same as AB we can use that value ≈ 5.1 )

DA

x-difference = 2

y-difference = 4

(since this is the same as BC, we can use that value ≈ 4.47)

Add all these together:

5.1 + 5.1 + 4.47 + 4.47 ≈ 19.14

(Note: this is not exact, but it's good enough for this purpose)

The closest option to this is B, 19.1 - thus, B is the answer.

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%7Ba-3b%7D%7Ba%2B2b%7D%20%3D%20%5Cfrac%7B4%7D%7B3%7D" id="TexFormula1" title="\frac{a-3
choli [55]

Answer:

a:b = -17:1

Step-by-step explanation:

Given

\frac{a-3b}{a+2b} = \frac{4}{3}

Required

Find a:b

\frac{a-3b}{a+2b} = \frac{4}{3}

Cross Multiply

3(a-3b) = 4(a+2b)

Open brackets

3a - 9b = 4a + 8b

Collect Like Terms

3a - 4a = 8b+9b

-a = 17b

Divide through by -b

\frac{-a}{-b} = \frac{17b}{-b}

\frac{a}{b} = \frac{17}{-1}

\frac{a}{b} = \frac{-17}{1}

Represent as a ratio

a:b = -17:1

5 0
3 years ago
caleb wants to rent a kayak kayak rentals cost 14.50 for a half hour if caleb rents for one hour and forty five minutes how much
SashulF [63]
14.50 x 2 = 29
14.50 / 2 = 7.25
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5 0
3 years ago
Final test need help on this question
8090 [49]

Answer:

x = 21 degrees

Step-by-step explanation:

Vertical angles are always congruent.

3x + 67 = 130

3x = 130 - 67

3x = 63

<u>x = 21</u>

8 0
3 years ago
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