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natulia [17]
3 years ago
15

Algerbra 1 what is the justification for each step

Mathematics
1 answer:
prisoha [69]3 years ago
6 0

Hi there!

Here we go:

2x + 1 ≤ \frac{3(x+1)}{2}

You need to multiply each side of the equation by 2


4x + 2 ≤ 3(x + 1)

You need to distribute the 3 to the entire parentheses


4x + 2 ≤ 3x + 3

You need to subtract 3x from each side of the equation


x + 2 ≤ 3

You need to subtract 2 from each side of the equation


x ≤ 1


There you go! I really hope this helped, if there's anything just let me know! :)

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Let me know if this is 160 sheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeesh this food bussin bussin
postnew [5]

Answer:

32 ounces a day

160 ounces in 5 days

Step-by-step explanation:

have a good day! :)

3 0
2 years ago
What is 10 exponent 2+24 divided (12-2 exponent 3)???
pychu [463]

Answer:

106

Step-by-step explanation:

I am almost 100% sure that that is the correct answer, it's been a long time since I have worked with exponents lol.

Hope this helps and please feel free to comment, give feedback, ask questions, and correct me if I am wrong!

Have a great day!

:)

8 0
1 year ago
Read 2 more answers
Find the sixth term of the sequence 1/2, -3/8, 9/32
sukhopar [10]

Answer:

The sixth term is -243/2048 ⇒ answer B

Step-by-step explanation:

* Lets explain the geometric sequence

- 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 sequence:

# U1 = a  ,  U2  = ar  ,  U3  = ar²  ,  U4 = ar³  ,  U5 = ar^4

# 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

  number in the sequence

- Ex: U5 = ar^4  ,  U7 = ar^6  ,  U10 = ar^9  ,  U12 = ar^11

- Lets solve the problem

∵ The sequence is 1/2 , -3/8 , 9/32

- Lets find the constant ratio r

∵ The first term is a = 1/2

∵ The second term is U2 = ar

∵ The second term  U2 = -3/8

∴ ar = -3/8

∴ 1/2 r = -3/8 ⇒ multiply both sides by 2

∴ r = -3/4

- Lets find the sixth term

∵ a = 1/2 and r = -3/4

∵ n = 6

∴ U6 = ar^5

∴ U6 = 1/2 (-3/4)^5 = 1/2 × -243/1024 = -243/2048

* The sixth term is -243/2048

8 0
3 years ago
Read 2 more answers
The base of the right prism is a rhombus with the side 7 cm. The altitude of the prism is h=13 cm. Find the lateral area of the
Art [367]

Answer:The lateral area is 364\ cm^{2}

Step-by-step explanation:

we know that

The lateral area of the right prism is equal to

LA=Ph

where

P is the perimeter of the base

H is the height of the prism

Find the perimeter of the base P

P=4(7)=28\ cm ----> the rhombus has  four equal sides

h=13\ cm

substitute

LA=28(13)=364\ cm^{2}

6 0
3 years ago
Read 2 more answers
What meets a segment at its midpoint at a 90 degree angle?
marysya [2.9K]

Answer:

The right angle's vertex.

Step-by-step explanation:

A right angle is 90 degrees. The vertex is at the middle of the angle, so that point is used to draw a segment in the middle of the right angle.

6 0
1 year ago
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