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2 years ago

(x+2)(2x+1)+(x+2)(2x-3) factorizar

Mathematics

1 answer:

koban [17]2 years ago

8 0

Answer:

(x + 2)(4x - 2).

Step-by-step explanation:

(x+2)(2x+1)+(x+2)(2x-3)

Note that (x + 2) is common to 2 parts of the expression. So we have:

(x + 2)(2x + 1 + 2x - 3)

= Ix + 2)(4x - 2)

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2(1/2q+1)=-3(2q-1)+4(2q+1)

babymother [125]

1q+2=-6q+3+8q+4
1q+2=2q+7
-2q -2q
-q+2=7
 -2 -2
-q=5
-1 -1
q=-5

6 0

3 years ago

Please Show Work.

s344n2d4d5 [400]

Answer:

$\huge\boxed{x=17}$

Step-by-step explanation:

It's important to note that when two angles create a straight line, they are supplementary.

This means their angle measures add up to 180° since a 180° angle is a straight line.

Since we know the measures of both angles in equation form, we can add them together and have them equal 180 to solve for x.

$(5x-18) + (4x+45) = 180$

Combine like terms:

$9x + 27 = 180$

Subtract 27 from both sides:

$9x = 153$

Divide both sides by 9:

$x = 17$

So x = 17.

Hope this helped!

5 0

2 years ago

Read 2 more answers

Which of the following is a geometric series? 40 + 50 + 60 + 70 40 + 42 + 44 + 46 40 + 80 + 40 + 120 40 + 20 + 10 + 5

Aloiza [94]

Answer:

40 + 20 + 10 + 5 is a geometric series

Step-by-step explanation:

* Lets revise the geometric series

- There is a constant ratio between each two consecutive numbers

- Ex:

# 5 , 10 , 20 , 40 , 80 , ………………………. (×2)

# 5000 , 1000 , 200 , 40 , …………………………(÷5)

* General term (nth term) of a Geometric Series:

∵ U1 = a , U2 = ar , U3 = ar2 , U4 = ar3 , U5 = ar4

∴ Un = ar^n-1, where a is the first term , r is the constant ratio

between each two consecutive terms , and n is the position of

the term in the series

* Now lets check the answers to find the correct one

# 40 + 50 + 60 + 70

∵ 50/40 = 5/4

∵ 60/50 = 6/5

∵ 5/4 ≠ 6/5

- No common ratio between each two consecutive terms

∴ Not geometric series

# 40 + 42 + 44 + 46

∵ 42/40 = 21/20

∵ 44/42 = 22/21

∵ 21/20 ≠ 22/21

- No common ratio between each two consecutive terms

∴ Not geometric series

# 40 + 80 + 40 + 120

∵ 80/40 = 2

∵ 40/80 = 1/2

∵ 2 ≠ 1/2

- No common ratio between each two consecutive terms

∴ Not geometric series

# 40 + 20 + 10 + 5

∵ 20/40 = 1/2

∵ 10/20 = 1/2

∵ 5/10 = 1/2

- There is a common ratio between each two consecutive terms

∴ 40 + 20 + 10 + 5 is a geometric series

7 0

2 years ago

Verify this closure property of subtraction x= -4/5 , y= 1/-10

Rom4ik [11]

Answer:

x - y is also a rational number. Hence satisfies the closure property.

Step-by-step explanation:

$x =\frac{-4}{5} , y = \frac{1}{-10} = \frac{-1}{10}\\$

Closure property of subtraction states that for any two integers a and b, (a - b) must also be an integer.

Here x and y are rational numbers. so x - y must also be rational to satisfy the closure property.

$x - y = -\frac{4}{5}- ( - \frac{1}{10}) = -\frac{4}{5} + \frac{1}{10} = \frac{-8 +1 }{10} = \frac{-7}{10}$

4 0

2 years ago

A pencil costs $0.25 more than an eraser. If the cost of eight pencils is $6.80, what is the cost of one eraser?

Llana [10]

Answer:

A single pencil costs $0.85 and a single eraser costs $0.60

8 0

2 years ago

Read 2 more answers